"We play a brand of football that people don't want to play," Ravens inside linebacker Patrick Queen said. In December, the Ravens routed three division leaders - the Jaguars, 49ers and Dolphins - by an average of 22.3 points. Baltimore creates so many matchup problems with the combination of Jackson's unique playmaking style and the stingiest defense in the league. With quarterback Lamar Jackson, Baltimore has gone 7-1 against teams that entered the game with a winning record. Reason for hope: The Ravens have played their best against the best. They were swept by the Steelers, losing to Pittsburgh in Weeks 5 and 18, and trounced Miami 56-19 in Week 17. The Ravens split their season series with Cleveland, beating the Browns in Week 4 while losing the Week 10 rematch. They will either face the winner of the Browns-Texans game, the Dolphins or the Steelers. Baltimore Ravens (13-4)įirst game outlook: The Ravens earned the AFC's bye and home-field advantage and will play the lowest-seeded remaining wild-card team Jan. ESPN analytics writer Seth Walder identified a key stat to watch for each team, and we'll also preview which opponent each playoff team could see, along with those teams' updated chances via ESPN's Football Power Index (FPI). Our playoff primer will preview the wild-card matchups and take a broader look at what each team must do to reach Super Bowl LVIII on Feb. Two games will be played Saturday, three Sunday, and the action will culminate in a Monday night finale that will be broadcast by ABC/ESPN. The remaining 12 teams will play in next week's three-day wild-card round. 1 seeds in each conference - the Ravens in the AFC and the 49ers in the NFC - will receive first-round byes. The 2023 NFL playoffs are here, and the No. NFL, Betting, Baltimore Ravens, San Francisco 49ers, Dallas Cowboys, Miami Dolphins, Detroit Lions, Cleveland Browns, Philadelphia Eagles, Kansas City Chiefs, Los Angeles Rams, Pittsburgh Steelers, Buffalo Bills, Green Bay Packers, Tampa Bay Buccaneers, Houston Texans NFL playoff bracket: Schedule, Super Bowl odds, stats, more Let’s take a look at the NFL Playoffs schedule for Wild Card Weekend.You have reached a degraded version of because you're using an unsupported version of Internet Explorer.įor a complete experience, please upgrade or use a supported browser We will have two games Saturday, three Sunday and one on Monday. Unlike last season when we had a double tripleheader on the NFL Playoffs schedule, we have a 2-3-1 format for Super Wild Card Weekend. Your only sign-in needed to track your points is your phone number! NFL Playoffs Schedule | Wild Card Weekend Verify your number for your entry to count, and place other picks to earn points towards more prizes. Vote above to be entered to win a $20 Fanatics gift card! Sign up for BetMGM and place a bet for an additional entry! This could be one of the most exciting Super Bowl runs we have ever seen, as it feels like any team could make a run if given the right circumstances. In other words, you may need another bracket next week, and FlurrySports will have it ready for you, so make sure to come back!Īfter a wild 18-week season that truly came down to the final game, anything could happen this postseason. That lowest seed could be any one of four teams. Instead, the lowest seed remaining will be the top seed in the conference next week. This means it does not follow the typical tournament format that we can plan out. It’s important to note that the NFL Playoffs do a re-seeding after each round. Below, you will find your printable 2022 NFL Playoffs bracket and schedule! Printable NFL Playoff Bracket and ScheduleĬLICK HERE to download our printable 2022 NFL Playoffs bracket and schedule for free, getting you ready for some playoff football. We will have two tomorrow, three on Sunday and a Monday Night Football game to wrap up the wild week of action. Unlike last season, the Super Wild Card Weekend schedule features games across three days this season. We have a stacked NFL Playoff schedule to predict, with six interesting games on the Wild Card Weekend slate. Super Wild Card Weekend kicks off tomorrow, which means you need to get your printable NFL Playoff bracket filled out and ready to go! Whether you’re doing a pool with family and friends or you want to test your own knowledge, filling out a bracket when it’s playoff time is always fun.
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Note: Moderators have the final word on all matters.This Document includes ALL GFX Packs, Sample Packs, MIDI Kits, One Shot Kits, Drum Kits, VST Expansions & Kontakt Libraries 2tb kontakt library's link & more At the bottom of sheet 1nwD8eEkJUy7nscjZwOtHCppLrasSz9f1 GFX Packs cNphbjj?usp=sharing Includes: - Shoe - Vintage (GFX Kit) - Producers Art GFX Pack - ProdByJac - Juiced GFX Pack - Dude Clayy (Retroverse GFX Kit) - DUDE CLAYY - DEATH PROOF GFX KIT - Dude Clayy - Chrome (Gfx Kit) - DARK SIDE (GFX PACK) - BeatsByAman GFX PACK Sample Packs / MIDI * Click to Download * ** Use Control F or Command F (Mac Users) to search for stuff ** Pvlace x Southside HYPERLINK ""– HYPERLINK " view?usp=sharing" The Family Sample Pack Wavsupply HYPERLINK ""– HYPERLINK "" Vision HYPERLINK ""– HYPERLINK "" Intoxication (Loop Kit) WavSupply A-Dawg Rockstar (Guitar Loop Kit) Kyle Junior Rhythm Roulette (MIDI Kit) Seph Got The Waves Unexpected (Sample Pack) SephGotTheWaves Plenty Vibes (Sample Pack) ProdbyJack HYPERLINK " /view?usp=sharing" HYPERLINK " /view?usp=sharing" HYPERLINK " /view?usp=sharing"" HYPERLINK " /view?usp=sharing" HYPERLINK " /view?usp=sharing" HYPERLINK " /view?usp=sharing"Ammo HYPERLINK " /view?usp=sharing" HYPERLINK " /view?usp=sharing" HYPERLINK " /view?usp=sharing"" HYPERLINK " /view?usp=sharing" HYPERLINK " /view?usp=sharing" HYPERLINK " /view?usp=sharing" Vol 3 (Hi Hat MIDI Kit) Wavsupply FrankieOnTheGuitar Gold Guitars (Sample Pack) Wavsupply Vision Intoxication (Loop Kit) Wavsupply Manso Plasma The Rucker Collective Care Package Pvlace - Secret MiDi Kit The Rucker Collective 003 HYPERLINK ""– HYPERLINK "" Silk Sample Pack (Compositions / Stems) WavSupply E-Trou Hollywood Loop Kit PVLACE Loopkit Vol.6 Based1 and Jakik Cascade Sample Pack Studio Trap Samurai Loop Kit MovingKeys Waves Sample Pack Manso And Cxdy Popsicles Loop Kit Holy Remember (Loop Kit w/ Stems) Studio Trap New Drip Construction Kit (Drums/Loops) Gezin 808 Mafia And SCXTT HYPERLINK ""– HYPERLINK "" Issa Gucci Sound Kit + ELECTRA X PRESETS Major Loops Doomsday (Loop Kit) Bnyx HYPERLINK " vP/view?usp=sharing"– HYPERLINK " vP/view?usp=sharing" Mad Man Drum / Loop Kit Dez Wright Space Cowboy Sample Pack Certified Audio HYPERLINK " WS/view?usp=sharing"– HYPERLINK " WS/view?usp=sharing" Sauce Keys Loop Kit Crabtree Music Library Vol. No throwaway accounts to bash people, that account will be banned and if your main is found it will be banned also. Verified Traders have priority in trades, if you are not a verified trader, you MUST send first. NO BUYING/SELLING KITS YOUR POST WILL BE DELETED AND YOU MAY FACE A BANīe Wary of new accounts as they may be scammers Do not message us directly we will NOT respond Use the "Message the moderators" link to message us. Failure to comply may result in a possible ban upon report. Valid Evidence: Screenshot of Trade or Source, Proof of purchase screenshot. The Only Accepted links when trading įor New Kits Released in the last 365 days(Proof Of Acquisition): If asked by another trader you must present evidence of where you acquired a recently released drumkit. Use LF(Looking For), CL(Collection), OT(Off Topic) tags on post or your post will be deleted We've moved to sign up to start trading Today! See below for how to opt out of pre-approved credit offers. Other creditors may also use your information to make offers of credit-unless you opt out of receiving such offers. They can use it to review or collect on your account. Your report can still be released to your existing creditors or to collection agencies acting on their behalf. When you have a security freeze on your credit file, certain entities still have access to it. A creditor who requests your file from one of the three credit bureaus will only get a message or a code indicating that the file is frozen. Most businesses will not open credit accounts without first checking a consumer's credit history.Ĭredit bureaus must place the freeze no later than five business days after receiving your written request.Ĭredit bureaus must lift a freeze no later than three business days after receiving your request.Ī creditor will see a message or a code indicating that the file is frozen. "A security freeze means that your credit file cannot be seen by potential creditors or employers doing background checks – unless you give your consent. It should not stop you from using your existing credit cards or other accounts. A fraud alert can also slow down your ability to get new credit. A fraud alert can help protect you against identity theft. It tells the credit issuer that there may be fraud involved in the account. The fee for lifting the freeze temporarily is $10.Ī fraud alert is a special message on the report that a credit issuer receives when checking a consumer's credit rating. The credit bureaus must lift your freeze within three days. You can lift the freeze by phone, using your PIN. You will also get instructions on how to lift the freeze. After you send your letter asking for the freeze, each of the credit bureaus will send you a Personal Identification Number (PIN) within 10 business days of receiving the request. Or you can lift it for a specific creditor. If you want to open a new credit account or get a new loan, you can lift the freeze on your credit file. If you have not been the victim of identity theft, enclose payment of $10.00 for placing the freeze.If you have been the victim of identity theft, provide a copy of a police report filed with your local police agency.Your most recent full addresses, including street address, any apartment number, city, state, and zip code.Your current full addresses, including street address, any apartment number, city, state, and zip code.Any previously used the following name(s).Your full name, including first, last, and middle names and any suffix.Write by certified mail to the addresses below: To place a freeze, you must write to each of the three credit bureaus. What will a creditor who requests my file see if it is frozen?Ĭan a creditor get my credit score if my file is frozen?Ĭan I order my own credit report if my file is frozen?Ĭan anyone see my credit file if it is frozen?ĭo I have to freeze my file with all three credit bureaus?Ĭan an employer do a background check on me if I have a freeze on my credit file?ĭoes freezing my file mean that I won't receive pre-approved credit offers?ĭoes my spouse's file have to be frozen, too? How long does it take for a security freeze to be lifted? How long does it take for a security freeze to be in effect? What is the difference between a fraud alert and a freeze?
The Simplicity: Create an observable tree Herein I will illustrate how the operator is used and then walk through a working example. It has been implemented and released on Nuget as beta version. I have called this new operator TransformToTree. This means there is absolutely no need for recursion within the operator which has led to good performance. Part 1 and part 3 of this algorithm can be achieved with existing operators which left me to implement part 2 in a single iteration. The output is the cache of nodes filtered so that only nodes with no parent are included in the result.As each node in the cache changes look back into the cache to find the parent and add / remove from the parent accordingly.For each item in the flat list create a cache of nodes.The algorithm can be made easy as follows: My mind was melting trying to find a better solution, then I realised creating and maintaining a nested structure does not necessarily have to be so mind numbingly complex as I first suspected. The code was simple but alas had poor performance as each node had to create a filter from the original cache. I quickly got this solution working as I was able to implement it using a combination of the existing dynamic data filter and transform operators. My first solution was to create a node which applied a filter to find its children and in turn each child also applied a filter to find its children. To ensure accurate reflection of underling data.For every item there has to be a node which has references to both the parent and child nodes, and these have to be maintained as changes are received. For this to hold true for a recursive hierarchy is an extreme challenge. The contract of dynamic data guarantees any operator will reflect items which are added, updated or removed from its source collection. However the more I looked into the problem the bigger the challenge become and I started to doubt whether I could pull it off. I quickly identified the need for a new ‘convert a stream to a tree’ operator so I took the challenge to implement it. I immediately replied yes of course without weighing up in advance what the solution could be. This complacency was shaken when recently I was asked if it was possible to use Dynamic Data to convert a flat observable data stream to a fully hierarchical structure. It is so functionally rich I always assume that there is not a lot that it cannot do. For this post I assume familiarity with Dynamic Data or at least familiarity with some of my previous posts, so for those of you who are not already familiar with dynamic data see What is dynamic data? for a brief overview.ĭynamic data has evolved over several years where each new operator has been created to overcome a necessity for a practical problem which I have been working on. Here are some signs it’s time to advance your career: This is why many employees have leaned on “job hopping” to advance their skillsets, opportunities, and salaries rather than waiting for it to happen with their current employer. Obtaining a higher-level job or leadership role can often be accomplished more quickly by changing companies. This trend is likely to continue as employees place a higher value on health, happiness, and well-being. In fact, according to the Bureau of Labor Statistics, March 2022 saw not only the highest number of resignations but also the highest number of job openings, with 11.55 million jobs available.Ī recent work trend report by Microsoft revealed that 41% of employees globally are considering leaving their current jobs within the next year. While the Great Resignation points directly at those leaving their jobs, it also means an ever-growing buffet of job opportunities for job seekers. As a result, 41% of the 2,000 questioned admitted they were looking for a new job. Furthermore, 45% of those surveyed said they didn’t believe their feedback would lead to meaningful change even if their employer had requested it. adults surveyed by Explorance, 50% reported that they had been asked for feedback from their employer in the past year. Many employees also resign because they don’t feel heard or considered, which is one of the most common reasons to leave your job. But today’s employees, especially millennials in the workplace, are raising their standards and wanting employment that doesn’t just pay the bills-they also want fulfillment, better benefits, flexible locations and schedules, and a great corporate culture. Before, simply having a job that paid the bills was enough. This sudden spike, referred to as the “Great Resignation,” has sparked large-scale cultural conversations about good reasons for leaving a job.Īs employees have faced more hardships, company restructures, reduced hours, and health concerns, many have started re-evaluating their purpose and priorities. The Visier Insights™ Report showed that one out of every four people left their jobs in 2021. Since the spring of 2021, however, employees have been resigning at an alarmingly higher rate than ever before. Job resignations have been trending upward for more than a decade. Progress is impossible without change, and those who cannot change their minds cannot change anything. A new career can help you live in alignment with your vision and purpose for your life.When interviewing for a new job, you should understand how to appropriately answer the question, “Why did you leave your last job?”.2022 saw historic numbers of job openings in the U.S.One out of every four people left their jobs in 2021 in a phenomenon referred to as the Great Resignation.In this article, we’ll dive further into the temperature of today’s employment landscape and why millions have restarted their job search. But why are so many feeling compelled to leave their jobs now? What’s sparked this enormous movement of resignations, and what are the top reasons for leaving a job that so many are citing? It can mean a better life, improved health, more money, and a greater sense of daily joy. Leaving a job, especially in pursuit of a passion, can be tremendously rewarding. A study by the Bureau of Labor Statistics revealed that 4.5 million employees resigned in March 2022 alone, the highest resignations on record for reasons other than retirement. Today, more people than ever realize that the reasons for leaving a job and the decision actually to do so can be life-changing. The snack brand-Terra Chips-now has an estimated annual revenue of $72 million. They stumbled on a chip recipe that would soon line grocery store shelves nationwide. Pursuing their passion for starting a catering business, Sinkler and Dzieduszycki took to Sinkler’s small New York kitchen. When Dana Sinkler and Alex Dzieduszycki left their jobs at a 4-star restaurant in New York City in 1990, they had no idea of the massive success that would follow. How to Answer an Interview Question Like "Why Do You Want to Leave Your Job?". Rule #3: No BlogSpam / Traffic re-direction. Rule #2: No Certification Brain Dumps / Cheating. r/NetworkingJobs /r/sysadmin /r/ITCareerQuestions /r/CSCareerQuestions /r/ccna /r/juniper /r/jncia /r/ccnp /r/jncis /r/ccdp /r/jncip /r/ccie /r/ccde /r/cisco /r/jncie /r/HomeNetworking /r/TechSupport /r/Network /r/ipv6 /r/networkautomation /r/outages Related IRC Channels Discussions about ChatGPT and its impact to networking may be allowed.ChatGPT is not a source of truth rather it is a word-projection model.Content produced by ChatGPT/LLM is not permitted here.Topics that may affect one locale does not contribute enterprise networking discussions.Political posts tend to attract the wrong crowd and overly aggressive vocalization. This subreddit invites redditors from all around the globe to discuss enterprise networking.Show us how you think you should solve those issues, and we will validate or offer enhancement to your initial attempt.Don't ask us what we would buy for a given project./r/itcareerquestions /r/ccna and /r/ccent are all available for early-career discussions.This sub-reddit is dedicated to higher-level, more senior networking topics.Please review How to ask intelligent questions to avoid this issue.Professionals research & troubleshoot before they ask others for help. We expect our members to treat each other as fellow professionals.Any post that fails to display a minimal level of effort prior to asking for help is at risk of being Locked or Deleted.Surveys may be approved with the moderators' permission.But harassing members to check out your content will not be tolerated. You may share a URL to a blog that answers questions already in discussion. Directing our members to resources elsewhere is closely monitored.This sub prefers to share knowledge within the sub community.These posts will be deleted without mercy.These topics pollute our industry and devalue the hard work of others.Home Lab hardware discussions, as in "what do I buy for a homelab" are not permitted.Home Lab discussions, as a tool for learning & certifications are welcomed.Home Networks, even complex ones are best discussed elsewhere like /r/homenetworking.We aren't here to troubleshoot your "advanced" video game latency issues. Topics regarding senior-level networking career progression are permitted.This topic has been discussed at length, please use the search feature. Topics asking for information about getting into the networking field will be removed.Networking Career Topics are allowed with following guidelines: No Homework Topics without detailed, and specific questions.Enterprise /Data Center /SP /Business networking related.New Visitors are encouraged to read our wiki.Įnterprise & Business Networking topics such as:Įducational Topics & Questions are allowed with following guidelines: To conclude, InterMapper RemoteAccess is a useful and reliable application that can help you manage your network from a distance, allowing you to perform the same actions you regularly would, with minimal effort.Routers, Switches, Firewalls and other Data Networking infrastructure discussions welcomed. In fact, InterMapper RemoteAccess enables you to work with your servers as you would with InterMapper itself, even if you are currently away from it, since it lets you configure all aspects of its functioning and even supports command-line functionality. Once the map is created, you can visualize the structure or the network and the device hierarchy, monitoring it with ease, from afar and learning more about its status. When generating a map for your server, you will have to name it, then opt for a device adding method, be it ‘Autodiscovery’, ‘Manual Entry’ or ‘Import a File’, the first of which requires you to specify a starting host name, IP address or subnet, the SNMP community and the ‘Discovery Options’. Subsequently, you can being creating maps or you can import them from existing files. The main window of InterMapper RemoteAccess allows you to get started right away, by connecting to your server and generating one or more maps, depending on your needs.įor starters, you need to input the information of the server you want to connect to, specifically its name, address and port, as well as the login credentials. The application experiences a brief and uneventful setup process, after which you can launch it and start working with it immediately it clear-cut looks pose little to no difficulty in handling it. InterMapper RemoteAccess is an advanced and effective software solution aimed to provide you with the ability to carry on monitoring and creating network maps for the servers you manage through InterMapper, without necessarily being in their proximity. Students located in the following countries are currently enrolled at APC Bible College. Those enrolling for ONLINE classes can request tuition waiver when making their online application. Tuition waiver for ONLINE students is available for those in financial need, especially for those who desire to be involved in Christian ministry. Spring 2024 semester: Monday Januto Friday April 26, 2024įall 2024 semester: Monday AugFriday November 29, 2024Īdmissions open for new academic year starting August 05, 2024ġ-year Certificate (C.Th.), 2-year Diploma (Dip.Th.) or 3-year Bachelors degree (B.Th.) in Theology and Christian Ministry.Īlternatively, you can take one or more courses of your choice, out of the 24 courses offered each semester. Converting a virtual machine from Boot Camp is easy – just follow the installation assistant instructions at startup. Open Word, Excel, or PowerPoint documents through Safari in their respective Windows Office desktop applications. Automatically optimizes disk space to help you get the most out of your Mac.Launch and open Windows applications directly from the Mac Dock.Select your primary use case, be it office work, gaming, design, testing or software development, and Parallels Desktop for Mac optimizes the settings and performance of your virtual machine accordingly.Intelligent resizing and independent screen resolution for individual displays.Pair your Bluetooth® devices, pen, and printer so they work with both Windows and macOS. Connect USB, Thunderbolt, and FireWire devices to Windows.Add Windows apps to the Touch Bar™ to instantly access and customize them.You no longer have to choose between PC and Mac. Supports OS X, Windows 10, 8.1, 7, etc., Google Chrome™, Linux and Unix, as well as macOS Server.
While there is no free version available, plans start at $9.99 per month per user for five users minimum - if you want to use it solo, you’ll need to pay annually, but you’ll get a discount. Its intuitive drag-and-drop interface is straightforward, and the board setup keeps things relatively simplistic - but if you’ve got more complex projects, you might want to look at other options.īeing a platform that specializes in Gantt charts, it’s no surprise that GanttPRO excels for businesses undertaking complex projects with multiple moving parts. However, we think Trello’s Free and Standard plans are great options for those willing to take advantage of the various power-ups on offer. We’d recommend these plans for startups looking to scale up with more projects and team members. Trello’s Premium and Enterprise plans offer unlimited boards and all other views, including timelines, dashboards, tables, calendars, maps and tables. The Free version of Trello comes with unlimited power-ups per board, and while you’ll be limited to 10 boards per Workspace, free accounts can have unlimited Workspaces. You can, however, use Trello’s power-ups to implement third-party Gantt chart views, as well as a number of other features from automation, reporting and communication to file and project management, marketing and design. Trello is a useful project management software that focuses primarily on Kanban boards - this being available to all users for free. Just keep in mind that ClickUp’s Gantt charts have a learning curve in order to get the best from more advanced features like dependencies, path calculations and priorities. You can also watch a few videos on their website to see how appealing the interface is for you and your team. The free plan itself is free forever, offering unlimited tasks and members, multiple views and 24/7 support - enough features to get a feel for the software before committing. While there is no mention of a free trial, you can get a free consultation and demo if you contact the sales team. You’ll also get a range of other views in ClickUp’s flexible project management software, including Kanban boards, calendars and whiteboards. At $10 per user per month, many of its features are, as the name implies, unlimited - including tasks, storage, integrations, dashboards, custom fields and most importantly, Gantt charts. ClickUp is our highest-rated Gantt chart software platform, and we’d particularly recommend it for smaller teams that will make use of its extensive Unlimited plan. Avogadro’s assumption also meant that when the gases reacted together, the whole number ratios of their volumes ratios reflected how the gas reacted on the level of individual molecules. These fixed distances varied with temperature and pressure, but were the same for all gases at the same temperature and pressure.Īvogadro’s assumption meant that a defined volume of one gas, such as CO 2, would have the same number of particles as the same volume of a totally different gas, such as O 2. Avogadro assumed that for substances in a gas state, the gas particles maintained fixed distances from one another. In his 1811 paper, Avogadro drew from British scientist John Dalton’s atomic theory-the idea that all matter, whether gas or liquid or solid, is made of extremely tiny particles (to learn more about Dalton’s idea, see our module on Early Ideas about Matter). He found that 2 volumes of carbon monoxide + 1 volume of oxygen created 2 volumes of carbon dioxide. But how could early 19th century scientists explain this tidy observation of small, whole numbers?įigure 4: Gay-Lussac’s experiment with carbon monoxide and oxygen. Modern scientists would immediately recognize this reaction as: 2CO + 1O 2 → 2CO 2 (Figure 4). For example, Gay-Lussac observed that 2 volumes of carbon monoxide reacted with 1 volume of oxygen to yield 2 volumes of carbon dioxide. In 1809, Gay-Lussac published his observation that volumes of gases react with each other in ratios of small, whole numbers. This contemporary was the French chemist and hot air balloonist Joseph-Louis Gay-Lussac, who was fascinated by the gases that lifted his balloons and performed studies on gas behavior (for more about gas behavior, see the module Properties of Gases). However, as it turns out, that wasn’t his intention!Īvogadro was trying to explain a strangely simple observation made by one of his contemporaries. In 1811, the Italian lawyer-turned-chemist Amedeo Avogadro published an article in an obscure French science journal that lay the foundation for the mole concept. False Correct! Avogadro, Gay-Lussac, Dalton, and the history of the mole concept Extending our example, two moles of 12C atoms contains 2 times 6.02 x 10 23 atoms, which equals 12.04 x 10 23 atoms, which can be written as 1.204 x 10 24 atoms.ī. Further, Avogadro’s number acts as the conversion factor for converting between the number of moles in a sample and the actual number of atoms or molecules in that sample. For example, 24 grams of 12C atoms would be equal to two moles since 24 grams divided by the mass of one mole (12) equals 2. However, other elements have different molar masses for example, 6.02 x 10 23 sulfur-32 ( 32S) atoms have a mass together of 31.97 grams, which is 32S’s molar mass.Īlong with telling us the mass of one mole of an element, molar mass also acts as a conversion factor between the mass of a sample and the number moles in that sample. 12C’s molar mass is 12 grams, which represents the combined mass of 6.02 x 10 23 12C atoms. By standardizing the number of atoms in a sample of an element, we also get a standardized mass for that element that can be used to compare different elements and compounds to one another. However, it is quite useful if we apply it to other substances, especially elements. Scientists have then defined the molar mass of a substance as the mass of 6.02214076 x 10 23 units of that substance. Regardless of whether the substance is 12C, electrons, or gray squirrels, one mole represents the same number of each of these things.įigure 2: Carbon-12, with 6 protons and 6 neutrons, is the isotope that used to define one mole. Experiments counting the number of 12C atoms in a 12-gram sample have determined that this number is 6.02214076 x 10 23. The International Committee for Weights and Measures-a group that defines the metric system’s units of measurement (for more information, see our module on The Metric System)-defines one mole as the number of atoms in exactly 12 grams of carbon-12 ( 12C, Figure 2). The mole does more than represent a big number: It provides a key link for converting between the number (amount) of a substance, and its mass. Instead of being used for things we encounter in daily life, the mole is used by scientists when talking about enormous numbers of particles like atoms, molecules, and electrons-although the mole’s usefulness goes beyond being a helpful scientific term. Obviously, the mole is not a term we need for most things in daily life. |
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