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 a temperature of 20.0 ∘C and a pressure of 2.00 atm. The ball's diameter is 23.9 cm.

Part A

What temperature does the air in the ball reach at its maximum compression? Assume that the compression of the air during the bounce is adiabatic.

Part B

By how much does the internal energy of the air change between the ball's original state and its maximum compression?