Chemical engineers often have to design their synthesis

Question

Question: Chemical engineers often have to design their synthesis process using a vessel at high pressure. A given reaction vessel contains 500cm³ of air at atmospheric pressure (1.01x10⁵Pa) and a temperature of 27.0 C. The next step in a given synthesis process compresses this air to a volume of 46.5 cm³ and the gauge pressure has increased to 2.80x10⁶Pa.

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

Any help would be greatly appreciated! Thank you so much!