 Okay, cool. So let's try this next one and we'll see if your questions answered just by watching, okay? Because honestly the best way to learn something is that you want to think of it like another language The best way to learn it is to just keep doing it keep talking keep talking and keep understanding Why are we doing this way? You know, why are we doing it this way? We can learn all the theory we want, but that doesn't teach us how to solve problems You know what I'm saying? I can teach you this is a subject This is a you know preposition. This is but you don't think about that when you're talking to me You know what I'm saying? It's like me trying to Teach you how to walk, you know what I'm saying you got to put you got to move your knee and then your ankle and you know You don't think about that stuff. You just do it, you know So that's what you want to do with chemistry, you know and algebra actually so let's try this one a Five-liter sample of a gas at 25 degrees Celsius so And 3 ATM is compressed at a constant temperature to a volume of one liter What is the new pressure? So let's write down all we know. Do we know the initial volume or be one? Yeah, what is it? five liters five point oh in this case five point oh leaders The temperature do we know the initial temperature? Yeah, 25 degrees Celsius What about the initial pressure do we know that? Yeah, P1 is 3.0 ATM Then it says it's compressed at a constant temperature. So what would T2 be then? 25 degrees Celsius. So do we need that part for the problem because it doesn't change, right? So we don't worry about that or ASAP Okay, so now we're taking right? That's awesome. Okay, so to a volume of one liter So what is that volume is going to be what B2 right? So What is the new pressure? So what are we looking for? P2 right so again if you wanted to memorize Boyle's law more than welcome to let's just do it again, okay? so V and R1111 P2 V2 and To our T2 now. We already said T didn't change right? So we can cancel that out straight away our never changes Cancel that one out did the number of moles change? No, right? So we can cancel that out. So this equals one, right? What are we looking for P2, right? Okay, so let's do it this way. Let's do it a different way instead of flipping it. Let's just do it a different way, okay? so we've got that same equation P2 V2 and What you'll see is what we're going to be doing is flipping it piece by piece or something like that, okay? So we can do it a number of ways Let's just multiply both sides by P2 V2 and in fact this is the fastest way to do it The reason I had you guys flip it is because of later problems It's a good thing to know how to do an algebraic equations, okay? so What we can do is multiply both sides by P2 V2, right? Why don't we do that? P2 cancels V2 cancels right and what do I get on this set P2 V2, right? That's Boyle's law, right? So what do I have P1 V1 equals P2 V2, but what am I looking for? So this what I'm doing is called isolating the variable, right? The variable I'm looking for is P2 So that's what I want to isolate. Okay, how do I isolate that now? Divide everything by P2, right? When I do that V2 cancels P1 V1 divided by P V2 equals P2, right? Everybody cool with that and just did not be confusing. Let's just erase this because I know that When you're first learning how to do that it kind of gets confusing when there's a lot of equals next to each other You're cool with that so everybody can get there. So now what do we do? Plug and shove, right? Okay, so do we know what P1 is? Yeah, 3.0 ATM. Do we know what P1 is? 1.0 5.0 liters And do we know what V2 is? 1.0 liters. Can any of our units cancel out? So do you see why I do it that way so I can cancel those units, you know? And I know it's easy enough to just plug everything in there and just flop everything around, you know But this way you get the right answer right away. You know what I'm saying? So what units am I going to get out here? ATM, is that pressure unit? Yeah, so we've done it right. Okay, so what what is this? Should we get our calculator? So 3 times 5, so is it 15.0 or just 15, right? Why is that? 26, 26, 26 are really 2, 2, 2, like that. Any questions on this one? Do you see what we did? That's the same but different, you know? We can do it another way, too We can do it like we wanted to do if we want to plug in everything and then move them around because that's all that's all others are doing when they're, you know, plugging, they're just moving later, you know, because you have to do all those things