In an internal combustion engine, gas is rapidly compressed during the compression stroke. At the start of one compression stroke, conditions inside the cylinder are 0.959 atm and 325 K and the volume of the gas is 707 mL. At the end of the stroke, the pressure is 17.7 atm and the volume has decreased to 82.2 mL. What is the temperature of the gas at the end of the compression stroke, assuming that it behaves ideally? Enter your answer in units of Kelvin to the nearest 1 K.
R = 0.08206 L·atm/K·mol