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If 3.16 mol of argon gas occupies a volume of 100. L at a particular temperature and pressure, what volume does 13.91 mol of argon occupy under the same conditions?...

Question

If 3.16 mol of argon gas occupies a volume of 100. L at a particular temperature and pressure, what volume does 13.91 mol of argon occupy under the same conditions?

If 3.16 mol of argon gas occupies a volume of 100. L at a particular temperature and pressure, what volume does 13.91 mol of argon occupy under the same conditions?



Answers

What volume is occupied by 0.118 mol of helium gas at a pressure of 0.97 atm and a temperature of 305 $\mathrm{K}$ ? Would the volume be different if the gas was argon (under the same conditions)?

The eyes. So for problem 19 13 we're gonna be solving for an unknown volume of gas given some initial conditions. So what we're given is the initial number of moles, the initial volume as well as being new number rules. And the problem states that it's gonna be under the same conditions throughout So we can use to solve. This problem is all the God Rose Law which says that volume is proportional to the number of moles under constant temperature and pressure. So all of God's law says that when you warn over and worn equals me too over end to and since for solving for V to weaken Just rearrange this equation by multiplying by and to So v two is gonna eat will be one arms and to over and one. And when we plug in these values solver v two, the units of moles are gonna cancel out and we're going to get an answer in milliliters. It's gonna be 1100 42 0.5 middle leaders, and this answer makes sense because we as we increase the number of moles, we're gonna increase the volume

So we're gonna be using our God Rose law to help us solve this problem where were given a mass of argon gas and the volume it occupies and then were asked to find the volume for a different number of moles of argon gas. So we'll notice first that our units are not the same. But we'll solve that with simple dimensional analysis to change those grams into malls. So starting with what we know from the problem we know that are the mass of our first gas is 2.71 grams. No, the volume of that first gas is 4.21 leaders and we know that the number of moles are second. Gas is 1.29 mugs. What we're looking for in this problem is the volume of our second gas. Now to change the grams of RM. One here into number of more so that we can use the equation for our God Rose law in the form be won over an one equals V to over end to what we're gonna do is used the more mass of argon, which when we look up in the periodic table, we find that this is equal to 39.948 grams per mole. Now we're gonna take our our mass 2.71 grams will play it by the more mass here with 39.948 grams her one mole with grams on the bottom so that I grams cancel and we our units work out to be most, and we end up with 0.678 moves as our and one. Now we're going to plug into this equation here so that we have are the 14.21 leaders over and one which we calculated and 0.678 moles. That's gonna be equal to RV two, which we want to find over our end to, which is 1.29 moles. I'm gonna cross multiply and when we that will give us 4.21 Leaders times 1.29 Moles equal to when you're 678 more Times X we want to play. These two will get 5.4309 moles, Times leaders and that's still equal to the same thing. Thanks. We're gonna divide by our morals on both sides. This will cancel to be one. Our most will cancel on our units so that then we end up after calculating this and rounding to three sig figs because of this number. Here we get 80.0 leaders as our unit is equal to X. And you know that X is our Volume two. And that is our answer.

So in this question, we have axed What volume? Well, 0.11 It's more off young gas at the pressure hose aeroplane I atmosphere and temperature 30 by occupy. So we have number of all is it wants to Zero points were one Hey, Jamal on, uh, pressure is given to horse to be. He's, you know, fine I seven most fair and were given temperature to be 305 Calvin and we had to it to calculates volume Number of moral call head. So looking at this equation of this question wanting us to calculate volume with hardened parameters downstream given your horse, um, what you come immediately to our mind that connect holders together would be the ideal gas equation Estates does PV is equals to an artsy on da we No pressure. We know number off more. We know how Gascon Stan and see to be a temperature which is given to us. And then we can find the so that Ms V would be across to and hearty Although P so we know number off mole to be equals to zero points 11 hates mole in ah hire could be maybe hit 1314 or 0.0 hits Tuesday receives on, uh, the value we used with the time in will be determined by, uh Well, they're fuckers. So we, ah, to calculate the volume and we are given pressure in the atmosphere and temperature and Calvin. So the rights gas constant. Two years ago, 0.0 zero hates to 06 leaders, uh, was very but Calvin role. So this should be 0.0 h 206 Okay, multiply by temperature in calvin, which is 305 killing divided by the preshow and not most fair, which is, you know, point Nice seven out most fit. So putting all these together and fine and a America equivalent of fit little 0.11 age more to Clive I zero points zero h 206 much until I buy 305 Invited by their appoint my seven. Well, give us 3.4 So just to be 310 for Lius, I said, I'll be the volume that that gas we occupy. So the question is asking us if the volume would be d friends. If the gas is Haagen on that. The same condition? No, the volume would still be the same. It will not change because civil right here in this particle. A question. We you can see that I did not make any mention about the identity of the guests. And we did not use anything related to maybe the mass of the gas to do how calculation here in us, much as a number off more is the same. And these parameters are the same. The volume Darby occupied by that gas will be the same because I've got a slower at austerity that equal volume of all gases are the same. Temperature on pressure contains the same number of more leakers. So the volume would remain the chain, irrespective off you've been helium or ago.

Mr Ideal Gas law. PV equals two. And Artie in this question, P equals to zero point. No, I ate at with Varick. Pressure on equals to 0.11 h most t was 2 305,000 degrees. So we can calculate to be close to three leaders the volume, mood and change. Because if the gas if the gas was hard organ was Arjun than the P onda t, these three variables doesn't change, so v will still be three leaders.


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