A Jaquar XK8 convertible has an eight-cylinder engine. At the beginning of its compression stroke, one of the cylinders contains 500 cm3 of air at atmospheric pressure (1.0 x 10⁵ Pa) and a temperature of 27.0^oC. At the end of the stroke, the air has been compressed to a volume of 50.0 cm³ and the gauge pressure has increased to 3.0x10⁶ Pa. Compute the final temperature.

The answer I got was 921.5 K (or 648.4 ^oC) but unsure if that's correct?