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# A player bounces a basketball on the floor, compressing it

ISBN: 9780321675460 31

## Solution for problem 34E Chapter 19

University Physics | 13th Edition

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Problem 34E

A player bounces a basketball on the floor, compressing it to 80.0% of its original volume. The air (assume it is essentially N2 gas) inside the ball is originally at 20.0o C and 2.00 atm. The ball’s inside diameter is 23.9 cm. (a) What temperature does the air in the ball reach at its maximum compression? Assume the compression is adiabatic and treat the gas as ideal. (b) By how much does the internal energy of the air change between the ball’s original state and its maximum compression?

Step-by-Step Solution:

Solution to 34E Step 1 Initial pressure=2 atm Initial temperature =20 C=293.15K -2 Diameter of ball=23.9cm =23.9x10 m Radius of the ball=11.95x10 m -2 3 -33 Initial Volume =(4/3)r =7.15x10 m -3 3 -33 Final volume =0.8x7.15x10 m =5.7x10 m Molar mass of nitrogen=28.13g/mol R=8.314 Step 2 Since it is an adiabatic compression, V T = T ( 1 )1 …………………………………………….. = 1.4 for diatomic gas 2 1 V2 1 0.4 T 2 293.15( 0.8) T=320.3K

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##### ISBN: 9780321675460

The full step-by-step solution to problem: 34E from chapter: 19 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by and is associated to the ISBN: 9780321675460. Since the solution to 34E from 19 chapter was answered, more than 1237 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “A player bounces a basketball on the floor, compressing it to 80.0% of its original volume. The air (assume it is essentially N2 gas) inside the ball is originally at 20.0o C and 2.00 atm. The ball’s inside diameter is 23.9 cm. (a) What temperature does the air in the ball reach at its maximum compression? Assume the compression is adiabatic and treat the gas as ideal. (b) By how much does the internal energy of the air change between the ball’s original state and its maximum compression?” is broken down into a number of easy to follow steps, and 88 words. This full solution covers the following key subjects: ball, air, its, compression, original. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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