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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

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 27.0oC. 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?

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