What Causes Overheating in Jaguar XK8's Engine Cylinders?

[Punkyc7]

1A Jaguar XK8 convertible has an eight-cylinder engine. At the beginning of its compression stroke, one of the cylinders contains 498 cm^3 of air at atmospheric pressure (1.01 x 10 ^5 Pa) and a temperature of 27.0 C. At the end of the stroke, the air has been compressed to a volume of 46.3 cm^3 and the gauge pressure has increased to 2.8 x 10 ^6 Pa . What is the final temperature?pv=nrt

T0=300K
P0=1.01 x 10 ^5 Pa
V0=498 cm^3

Tf=?
Pf=2.8 x 10 ^6 Pa .
Vf=46.3 cm^3

So I set a a proportionality and I get Tf=Pf * Vf* T0/( P0 * V0)

plug in the values and get about 773 K or 500 celsius but my answer is wrong.

 

[rock.freak667]

gauge pressure is the actual pressure - atmospheric pressure.

i.e. gauge pressure = absolute pressure - atmospheric pressure

you need to get P_f in absolute pressure so add atmospheric to it.