Chemical engineers often have to design their synthesis

Question

Problem: Chemical engineers often have to design their synthesis process using a vessel at high pressure. A given reaction vessel contains 499cm³ of air at atmospheric pressure (1.01 × 10⁵ Pa) and a temperature of 27.0 µC. The next step in a given synthesis process compresses this air to a volume of 46.8cm3 and the gauge pressure has increased to 2.80×10⁶ Pa.

Part A: Compute the final temperature of the air after this compression?

Please show me how work it out above problem.