Answer to Question #68457 in Mechanics | Relativity for Nguyen Duc Anh

Question

An ideal monatomic gas undergoes an adiabatic compression from
state 1 with pressure p1=1 atm, volume V1=8 L, and temperature T1=300
K 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 and
after the compression?
(d) What is the ratio of the squares of the rms speeds before and after the
compression?
(e) If we do not know that the ideal gas here is monatomic, demonstrate
that the gas is truly monatomic.