We have a container of 1.55 moles of an ideal monatomic gas. The volume of the container is 15.0 liters, and the temperature of the gas is 21.7◦C. We compress the gas adiabatically to 13.1 liters. (a) Find the final temperature (K) of the gas. Neglect any heat flow into the surroundings. 

Caution: Be sure to use the ideal value for γ (the fraction,) not the approximate (decimal) value. 

(b) Find the change in internal energy (J) of the gas.