Hello. So, for this problem, for the first part, before you can find the number of cylinders required, we need to look for or to find out how the volume or a sponge, or what volume will it expand? You do? Pressure was reduced from the gauge pressure to the atmospheric pressure. That's the only way you can not compare. They are volumes. So we're going to use the ideal gas equation.
PV equals NRT from the question The temperature is constant are it's already constantly Number of Moses constant. So PV equals a concept of everything. Here it is a constant. So you can also say that 31 we want because p two me too. So we're trying to find the new volume to which the gods who respond if we reduce the pressure from the, uh, gauge pressure to the very pressure.
So I have, um so have the PG, which is that's on the right. I have P G, which is the engaged pressure, which is You go to peanut plus being. So if you're fixing the you got 1.3. I'm Stan. This one in six.
Let me at the unit Moscow. Yeah. So you will find V to the new volume to reach to responsibility P one V one over, um, P two. I don't know who I heard and do my substitution. So my p one is going to be one point.
So that's what we are reducing. All right. 1.3 zero. I'm Stan to the sixth on the volume of 1.90 We're trying to reduce the pressure. I want to know the volume.
So the p two, it's 1.1 taste time today. All right, so you got a volume to be 24.46 So what it means is that if you want to reduce the pressure from the gauge pressure to the at was very pressure. You're gonna get 24 point forces cubic meters on the balloon on the balloon. It's also at 1.0 one times 10 is within five Paskah with the volume of 7. 50.
So now you can compare. So if you want to know how, maney, um cylinders you need in the volume of the balloon which is, uh, to them to that here the volume of the balloon which is 7 15 rescue will be divided by the new volume were found because we want to know how many of these 24.46 this in the volume of the balloon. So if we do that, you're gonna get somewhere around 30.7. So this will be the number off off cylinders, the superior number of cylinders that we would need or that's what will be required. So that is that for the first part.
For the second part, what are we finding? We are finding a total weight that could be supported by the balloon. Uh, the guards in the balloon on this 100. It's 15. Okay, You've been given the mamas off hydrogen the density. All right, so let's see.
I'm gonna show you what's going on here. So this, um Okay, this part b So you have balloon. I'm gonna get to some balloon. So in order for the balloon to float in air, it's gonna be a force is gonna be acting upward. I'll call it the Buoyant Force.
But there is a load with the mask. Gonna call it l Then the balloon has a gas inside, so I'm going to see a video alone or the weight of development. So which is pointing down? So this is the M G. Is the mouth of the cars in the balloon, and this is like a load. But the balloon wants to lift and load the mouth of the Lord s M l.
So from Newton's second law, which is, uh, f because make are enough for these balance, then the acceleration is going to zero. So, uh, if you resolve these forces, you're gonna have f B. So if you go to I'm on a low times genes that are gonna wait class, uh, mass on the gas. So you're gonna have to let me bring back here. So that's what I mean.
Uh, it waas um oh, three plus No, let me do this right. This this n g this is m g times deep, so I gotta wait. So this is also I'm just bring it here again, all right? But buoyant force, which is B as a formula given by the density off the volume times of gravity. So I'm gonna substitute that it's gonna be rule BG course M l t plus Emsis country like that so I can cross out the gravity I would love to To rule free cause, Mel us G for isolate Mel, we're gonna have I'm gonna mail going to rule be But the mask off the gas we can calculate the mass of the gas. You seen the idea of God's equation? So let's see.
Wow, PV equals on. I'll see. But we also know that because mass Mullah Omar's so I can substitute for on PV will be called to Moss from Murayama's uh, Artie. So I'm gonna isolate the mosque, our PV oh, for our teeth. So I just remember I'm finding the mass of the cast, so my substitution did pressure.
Thus, in the balloon, it's 1.1 type of status within five alarm. Still, let's put five. The volume is 7 50. Let us kill the molar. Mass was given the question 2.2 So I want it in, uh, kilograms removed.
So there will be times 10 minus straight to the ground promo. Don't go on the uniforms, um, of the rt are this constant, which is 8.315 The temperature 288 Calvin. So if you do this, gonna get 63 63.9 kilograms. So this is a mass of with us. Well, let's remember this equation right here to find the mouth of the Lord.
So I'm Bill through the Martin. This my goodness. So that density off give it waas arm points to drink volume. You already know it's 7. 50.
Um I mean, I m g which we just found to be 63. My mind. So this months of the loot, this eight, 59 kilograms. So that was really mass of the load. Um, look at the next part of the question.
Um, yeah. So we're looking for the total weight, not in addition to the we took the gas. Okay, so the wait off the load. So this is the mass. So if wanna wait? Okay, Sure.
So if you want the weight off the Lord, that's what the question wants. I would just be that g No B eight 59 k g times nine point a one. We wanna wait another month. There will be approximately 84 to 3 Newton's. So this is the weight.
So you help without a mask that we have to find a wait all right. Therefore, the sea for the CPAP took up for the CPA wants So we want Thio. Calculate the weight again, uh, where we have the guts to be helium instead off hydrogen. All right, so we already know that the mass of the load is the density that volume. So let me bring them back here.
This rule v minus m g. So again, we have to find the amount of the guns that we can do a substitution. But here, you realize that the we use TV because nrt So let me do that quickly. Show you, um, what we did earlier. So substitute for that you get previous because mass of a mullah mus rt we realized that, um, she was I salute them.
Good. Clean fee. Um, over rt. I mean, you can go through what we went through earlier. We're going to find out is everything remains constant.
Except that the mass is changing on the molar. Mass is changing pressure volume. Um, the temperature and are everything remains constant. So I can say that the muss off initially those hydrogen over the mullah mass off hydrogen. Who will be quoted the mop? Sorry, is the same as the mass off helium over Bull Hamas off Helio.
So I want to find the new mass, which is the mass of helium. So the mask. Sorry. So the mass off helium just gonna be the mask off? Hydrogen work Brahmas off hydrogen time the mamas off failure. Everything else remains constant.
So if I do my substitution So you already found the mouth off hydrogen? It was 60. Checked that it waas 63.9 3.9. Um, for the Murayama's, um, I was too. Points 02 um, than the small amounts off helium. It's four.
So you get our mask off medium to be, um, you put out on the calculator. I got one, 26 We got one 1 to 6 point for fires, funeral graphs. So that will be the mask off the load number. The mouth of the gods. Sorry.
So now I want to find the mouth of the load. We have our formula mass of the Luke because roof e minus mass. So this I will be the helium that we just found, so this it's going toe be 1.23 That is the volume, which is 7. 50 when this 1 to 6.5. So the mosque with the loot will be so remind.
Six 96 kg. So to find a weight on the load. Just the mask off the load Time. See a servant. My six times in 9.8.
And that should give us God. Mutants. Thank you very much..