Absolute Temperature and the Ideal Gas Law

[liz_p88]

Homework Statement

A cylinder in a car engine takes Vi = 4.50 x 10^-2 m^3 of air into the chamber at 30°C and at atmospheric pressure. The piston then compresses the air to one-ninth of the original volume (0.111Vi) and to 20.0 times the original pressure (20.0 Pi). What is the new temperature of the air?

Homework Equations

P1V1/T1 = P2V2/T2

The Attempt at a Solution

I know I am supposed to convert my pressure and temperature to different numbers but I simply do not know what I am supposed to do. Please help!

 

[liz_p88]

I figured it out.

(101 kPA)(.045 m^3)/303k = (2020 kPA)(.004995 m^3)/T2

673k or 400°C