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 20.0C 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?

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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 20.0C 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?

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