A diesel engine's piston compresses 16 cm3 of fuel-air mixture into 1 cm3. The pressure changes from 1 atmosphere to 48 atmospheres. If the initial temperature of the gas was 305 K, what was the final temperature?

Answer 1

PV=kT
So, PV/T = k a constant.
So, you want T such that

48*1/T = 1*16/305