An ideal monatomic gas undergoes an adiabatic compression fromstate 1 with pressure p1=1 atm, volume V1=8 L, and temperature T1=300K to state 2 with pressure p2=32 atm, volume V2=1 L.
(a) What is the temperature of the gas in state 2?
(b) How many moles of gas are present?
(c) What is the average translational kinetic energy per mole before andafter the compression?
(d) What is the ratio of the squares of the rms speeds before and after thecompression?
(e) If we do not know that the ideal gas here is monatomic, demonstratethat the gas is truly monatomic