physics
posted by maria on .
Air in a diesel engine cylinder is quickly compressed from an initial temperature of 21.1°C, an initial pressure of 1.00 atm, and an initial volume of 670 cm^3 to a final volume of 44.5 cm^3.
a)Assuming the air to be an ideal diatomic gas, find the final temperature (in K).
b) Assuming the air to be an ideal diatomic gas, find the final pressure.

Due to the quick compression, the process will be adiabatic. For such a process,
P*V^g = constant
Do part (b) first with the above equation.
P2/P1 = (V1/V2)^g
Once you have P2, use the ideal gas law for T2.
For a diatomic, g is the dimensionless number 7/5.