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 (4th Edition)

4th Edition

ISBN: 9780134609034

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

Publisher: PEARSON

See similar textbooks

Concept explainers

Human Metabolism

Being described as the most complicated machine ever encountered by humans, the human body and the cell metabolism is nothing less than a wonder. Metabolism is the set of life-sustaining chemical reactions within organisms.

Question

Chapter 12, Problem 15CQ

To determine

To explain: The relation between TA and TB .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12, Problem 14CQ

Chapter 12, Problem 16CQ

Students have asked these similar questions

Uniform Circular motion. 1. Mini Lecture 2. Let the position of a particle be given by: (t) = Rcos (wt)i + Rsin (wt)j 3. Calculate the expression for the velocity vector and show that the velocity vector is tangential to the circumference of the circle. 4. Calculate the expression for the acceleration vector and show that the acceleration vector points radially inward. 5. Calculate the magnitude of the velocity and magnitude of the acceleration, and therefore show that v2 a = R

4. A ball is thrown vertically up, its speed. slowing under the influence of gravity. Suppose (A) we film this motion and play the tape backward (so the tape begins with the ball at its highest point and ends with it reaching the point from which it was released), and (B) we observe the motion of the ball from a frame of reference moving up at the initial speed of the ball. The ball has a downward acceleration g in: a. A and B b. Only A c. Only B d. Neither A nor B

2. Consider a 2.4 m long propeller that operated at a constant 350 rpm. Find the acceleration of a particle at the tip of the propeller.

Chapter 12 Solutions

College Physics: A Strategic Approach (4th 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 double the typical speed of the molecules...Ch. 12 - Two gases have the same number of molecules per...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. 9CQ Ch. 12 - Prob. 10CQ

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 - Prob. 13CQ Ch. 12 - Materials A and B have equal densities, but A has...Ch. 12 - Prob. 15CQ Ch. 12 - You need to raise the temperature of a gas by 10C....Ch. 12 - Prob. 18CQ Ch. 12 - Prob. 19CQ 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 - Prob. 23CQ Ch. 12 - Prob. 24CQ Ch. 12 - Prob. 25CQ Ch. 12 - Prob. 26CQ Ch. 12 - Prob. 27CQ Ch. 12 - Prob. 29CQ Ch. 12 - Prob. 30MCQ Ch. 12 - Prob. 31MCQ Ch. 12 - A gas is compressed by an isothermal process that...Ch. 12 - Prob. 33MCQ Ch. 12 - Prob. 34MCQ Ch. 12 - Prob. 35MCQ Ch. 12 - Prob. 36MCQ 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 - Prob. 7P Ch. 12 - Prob. 8P Ch. 12 - An ideal gas is at 20C. The gas is cooled,...Ch. 12 - An ideal gas at 0C consists of 1.0 1023 atoms. 10...Ch. 12 - An ideal gas at 20C consists of 2.2 1022 atoms....Ch. 12 - Prob. 12P Ch. 12 - Prob. 13P Ch. 12 - When you stifle a sneeze, you can damage delicate...Ch. 12 - Prob. 15P Ch. 12 - Mars has an atmosphere composed almost entirely of...Ch. 12 - Prob. 18P Ch. 12 - The lowest pressure ever obtained in a laboratory...Ch. 12 - Prob. 20P Ch. 12 - Helium has the lowest condensation point of any...Ch. 12 - Prob. 22P Ch. 12 - Prob. 23P Ch. 12 - Prob. 24P Ch. 12 - Prob. 25P Ch. 12 - Prob. 26P Ch. 12 - A cylinder contains 3.0 L of oxygen at 300 K and...Ch. 12 - Prob. 28P Ch. 12 - 0.10 mol of argon gas is admitted to an evacuated...Ch. 12 - Prob. 30P Ch. 12 - 0.10 mol of argon gas is admitted to an evacuated...Ch. 12 - 0.10 mol of argon gas is admitted to an evacuated...Ch. 12 - Prob. 33P Ch. 12 - Prob. 34P Ch. 12 - Prob. 35P Ch. 12 - Prob. 36P Ch. 12 - A 1.0 cm3 air bubble is released from the sandy...Ch. 12 - A weather balloon rises through the atmosphere,...Ch. 12 - Prob. 39P Ch. 12 - Prob. 40P Ch. 12 - Prob. 41P Ch. 12 - Prob. 42P Ch. 12 - The length of a steel beam increases by 0.73 mm...Ch. 12 - Prob. 44P Ch. 12 - The length of a steel beam increases by 0.73 mm...Ch. 12 - At 20C, the hole in an aluminum ring is 2.500 cm...Ch. 12 - The temperature of an aluminum disk is increased...Ch. 12 - Prob. 48P Ch. 12 - Prob. 49P Ch. 12 - Prob. 50P Ch. 12 - a. 100 J of heat energy are transferred to 20 g of...Ch. 12 - Prob. 52P Ch. 12 - Prob. 53P Ch. 12 - Prob. 54P Ch. 12 - Alligators and other reptiles dont use enough...Ch. 12 - Prob. 56P Ch. 12 - When air is inhaled, it quickly becomes saturated...Ch. 12 - Prob. 58P Ch. 12 - Prob. 59P Ch. 12 - What minimum heat is needed to bring 100 g of...Ch. 12 - Brewed coffee is often too hot to drink right...Ch. 12 - Prob. 62P Ch. 12 - 30 g of copper pellets are removed from a 300C...Ch. 12 - Prob. 64P Ch. 12 - A copper block is removed from a 300C oven and...Ch. 12 - Prob. 66P Ch. 12 - If a person has a dangerously high fever,...Ch. 12 - A container holds 1.0 g of argon at a pressure of...Ch. 12 - A container holds 1.0 g of oxygen at a pressure of...Ch. 12 - What is the temperature change of 1.0 mol of a...Ch. 12 - Heating 2.5 mol of neon in a rigid container...Ch. 12 - Prob. 72P Ch. 12 - A 1.8-cm-thick wood floor covers a 4.0 m 5.5 m...Ch. 12 - A stainless-steel-bottomed kettle, its bottom 24...Ch. 12 - Seals may cool themselves by using thermal...Ch. 12 - Electronics and inhabitants of the International...Ch. 12 - The glowing filament in a lamp is radiating energy...Ch. 12 - Prob. 78P Ch. 12 - If you lie on the ground at night with no cover,...Ch. 12 - Prob. 80P Ch. 12 - Prob. 81P Ch. 12 - Prob. 82P Ch. 12 - Prob. 83GP Ch. 12 - Prob. 84GP Ch. 12 - Prob. 85GP Ch. 12 - Prob. 86GP Ch. 12 - Prob. 87GP Ch. 12 - A 5.0-m-diameter garden pond holds 5.9 103 kg of...Ch. 12 - James Joule (after whom the unit of energy is...Ch. 12 - Prob. 90GP Ch. 12 - Prob. 91GP Ch. 12 - Prob. 92GP Ch. 12 - A 68 kg woman cycles at a constant 15 km/h. All of...Ch. 12 - Prob. 94GP Ch. 12 - Prob. 95GP Ch. 12 - Prob. 97GP Ch. 12 - Your 300 mL cup of coffee is too hot to drink when...Ch. 12 - A gas is compressed from 600 cm3 to 200 cm3 at a...Ch. 12 - An expandable cube, initially 20 cm on each side,...Ch. 12 - Prob. 101GP Ch. 12 - Prob. 102GP Ch. 12 - Prob. 103GP Ch. 12 - Homes are often insulated with fiberglass...Ch. 12 - The surface area of an adult human is about 1.8...Ch. 12 - Prob. 106MSPP Ch. 12 - Prob. 107MSPP Ch. 12 - Prob. 108MSPP Ch. 12 - Prob. 109MSPP Ch. 12 - Prob. 110MSPP Ch. 12 - Prob. 111MSPP Ch. 12 - Prob. 112MSPP

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The relation between T A and T B .

Solution Summary: The author explains the relation between T_A and

Concept explainers

To explain: The relation between TA and TB .

Want to see the full answer?

Chapter 12 Solutions