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Compression of a Jaguar XK8 Cylinder

A Jaguar XK8 convertible has an eight-cyliner engine. At the beginning of its compression stroke, one of the cylinders contains 499 cm^3 of air at atmospheric pressure (1.01x10^5 Pa) and a temperature of 27.0 degrees Celsius. At the end of the stroke, the air has been compressed to a volume of 46.2 cm^3 and the gauge pressure has increased to 2.72x10^6 Pa. Compute the final temperature T_f in degrees Celsius.

Hint: Be sure that you use the total pressure, not just the gauge pressure, in your calculations.

Solution Preview

Vi = 499 cm^3
Pi = 1.01*10^5 Pa
Ti = 27+273 = 300 K

Vf = 46.2 ...

Solution Summary

This solution shows the full calculations to solve for the final temperature.