Explanation Formula used: Write the expression for quantity of heat for constant-volume process. Q = n C V Δ T (1) Here, n is number of moles in a gas, C V is the molar specific heat at constant volume, and Δ T is the change in temperature. Write the expression for quantity of heat for constant-pressure process. Q = n C P Δ T (2) Here, n is number of moles in a gas, C P is the molar specific heat at constant pressure, and Δ T is the change in temperature. Write the expression for Δ T . Δ T = T f − T i (3) Here, T f is the final temperature, and T i is the initial temperature. Explanation: Modify equation (1) for temperature “A” as follows. Q = n C V Δ T A (4) Modify equation (2) for temperature “B” as follows. Q = n C P Δ T B (5) Modify equation (3) for temperature “A” as follows. Δ T A = ( T A ) f − ( T A ) i Modify equation (3) for temperature “B” as follows. Δ T B = ( T B ) f − ( T B ) i Substitute 10 J for Q in equation (4), 10 J = n C V Δ T A (6) Substitute 10 J for Q in equation (5), 10 J = n C P Δ T B (7) Compare equation (6) and (7). n C V Δ T A = n C P Δ T B (8) Refer to Table 12.6 in the textbook for molar specific heats of gases. In all gases the value of C V is greater than the value of C P . C V > C P If the number of moles in a gas is equal and C V > C P then equation (8) modified as follows. C V Δ T A > C P Δ T B (9) From equation (9), write the relation between T A and T B as follows

College Physics: A Strategic Approach (3rd Edition)

3rd Edition

ISBN: 9780321879721

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Chapter 12, Problem 18CQ

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Chapter 12 Solutions

College Physics: A Strategic Approach (3rd Edition)

Ch. 12 - Which has more mass, a mole of Ne gas or a mole of...Ch. 12 - If you launch a projectile upward with a high...Ch. 12 - Prob. 3CQ Ch. 12 - If you buy a sealed bag of potato chips in Miami...Ch. 12 - If you double the typical speed of the molecules...Ch. 12 - Two gases have the same number of molecules per...Ch. 12 - a. Which contains more particles, a mole of helium...Ch. 12 - If the temperature T of an ideal gas doubles, by...Ch. 12 - A bottle of helium gas and a bottle of argon gas...Ch. 12 - A gas cylinder contains 1.0 mol of helium at a...

Ch. 12 - Prob. 11CQ Ch. 12 - Prob. 12CQ Ch. 12 - What is the maximum amount of work that a gas can...Ch. 12 - You need to precisely measure the dimensions of a...Ch. 12 - A common trick for opening a stubborn lid on a jar...Ch. 12 - Your cars radiator is made of steel and is filled...Ch. 12 - Materials A and B have equal densities, but A has...Ch. 12 - Prob. 18CQ Ch. 12 - You need to raise the temperature of a gas by 10C....Ch. 12 - A sample of ideal gas is in a cylinder with a...Ch. 12 - A student is heating chocolate in a pan on the...Ch. 12 - If you bake a cake at high elevation, where...Ch. 12 - The specific heat of aluminum is higher than that...Ch. 12 - A student is asked to sketch a pV diagram for a...Ch. 12 - In some expensive cookware, the pot is made of...Ch. 12 - If you live somewhere with cold, clear nights, you...Ch. 12 - Prob. 27MCQ Ch. 12 - Prob. 28MCQ Ch. 12 - A gas is compressed by an isothermal process that...Ch. 12 - Prob. 30MCQ Ch. 12 - Prob. 31MCQ Ch. 12 - Prob. 32MCQ Ch. 12 - Prob. 33MCQ Ch. 12 - Prob. 34MCQ Ch. 12 - 100 g of ice at 0C and 100 g of steam at 100C...Ch. 12 - Suppose the 600 W of radiation emitted in a...Ch. 12 - Prob. 37MCQ Ch. 12 - Prob. 38MCQ Ch. 12 - Prob. 1P Ch. 12 - How many grams of water (H2O) have the same number...Ch. 12 - Prob. 3P Ch. 12 - How many cubic millimeters (mm3) are in 1 L?Ch. 12 - Prob. 5P Ch. 12 - Prob. 6P Ch. 12 - An ideal gas is at 20C. 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