Problem

(a) In the deep space between galaxies, the densi…

03:00

Problem 37 Hard Difficulty

(a) What is the gauge pressure in a 25.0ºC car tire containing 3.60 mol of gas in a 30.0 L volume? (b) What will its gauge pressure be if you add 1.00 L of gas originally at atmospheric pressure and 25.0ºC ? Assume the temperature returns to 25.0ºC and the volume remains constant.

Answer

(a) $P_{\text {gauge}}=1.98 \times 10^{5} \mathrm{N} / \mathrm{m}^{2}$
(b) $P_{\text {gauge}}=2.01 \times 10^{5} \mathrm{N} / \mathrm{m}^{2}$

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Physics 101 Mechanics

College Physics for AP® Courses

Chapter 13

Temperature, Kinetic Theory, and the Gas Laws

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Video Transcript

So we have 3.6 malls off gas at 25 degrees Celsius on DDE, which has a volume off 20 leaders. We won't find out the pressure. It's very simple. The sim please may be called to an arty so P is equal to an arty by B, which is equal, though we know the end is the number of morals, which is 3.6 eyes wanted Smalls are is 8.31 for Jules. For more Kelvin, he is 25 degrees Celsius, which is to a 73 plus 25 Kevin, which is to 98 You wanted by volume, which is 30 liters. So that's 13 to tend. Bar ministry meet a cute. So now molds it cancelled. Kelvin canceled on this on the units here are Joel Per Meter Cube. Remember, the jewels per meter cube is nothing but Newton per meter square. Because Jules is Newton meter. You got it. Let me take you. This makes it Newton per meter square, which is the unit off pressure Paskowitz at this. Cancel Toby 2.97 into 10. Part five. Ask us. You simply need to plug the numbers into the into a calculator, which means the gauge pressure. We just the pressure minus the atmospheric pressure will be to a 0.96 inter tend bar five baskets. Now that we have this for part B, be added. I looked at break of gas, which got us one stool one later off volume. It's standard procedure. So what? We're adding it some gas, which means the value off end changes. So we'll find out how many moles of gas with rabbit. So an equal to P B bye, Artie. So that standard procedure So 1.1 do 10 baht. If I Oscars, volume is one leader watches tend bar minus three meter cube. Are is a 0.31 for Jules. For more Kelvin, I t is again to 98 Kelvin, and this turns out to be 0.4 Moors. So when we at this for hours even value the new and is 3.6 formals instead of 3.6 and now we find out pressure again And are you baby? But using 3.6 for instead of 3.6 and the pressure turns out to be 3.1 into tend bar fire Paschal's, which means that gauge pressure is P minus peanut, which is the atmospheric pressure, which is 1.0 100 in part five. Paschal's. Excuse us. I'm sorry. Uh, yeah. This turns out to be too into 10. Part five. I'm sorry if this turns out to be 4.1. No big deal. This turns out to be 3.1 into tend bar five pastors, which means the gates pressure turns out to be too into time. Part five. Fast foods. Simplest, that.

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