Q) What is the final temperature of the compressed air in degrees Celsius?

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The final temperature of the compressed air in the Jaguar XK8 convertible's cylinder is calculated using the ideal gas law. The initial conditions include a volume of 493 cm³, atmospheric pressure of 1.01 x 10^5 Pa, and an initial temperature of 27.0 degrees Celsius. After compression to a volume of 47.0 cm³ and a gauge pressure of 2.80 x 10^6 Pa, the final temperature is derived from the equation T2 = (P2 * V2 * T1) / (P1 * V1). The correct final temperature is approximately 792.88 Kelvin, which converts to 519.88 degrees Celsius.

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1.A Jaguar XK8 convertible has an eight-cylinder engine. At the beginning of its compression stroke, one of the cylinders contains 493cm^3 of air at atmospheric pressure (1.01*10^5 Pa) and a temperature of 27.0 degress celsius . At the end of the stroke, the air has been compressed to a volume of 47.0cm^3 and the gauge pressure has increased to 2.80*10^6 Pa .

Q)Compute the final temperature in degrees celsius


When I do this problem I change celsius to kelvins and set up the equation in the form T2=P2*V2*T1/(P1*T2) and get and answer of 792.8825337 which i then convert back into celsius for a total of 519.8825337 degrees celsius. I have tried that number 520 to no avail. I have no hints from mp, I am just told that I am wrong. Maybe I just need to sleep on it, but any help as to what my error is would be greatly appreciated.
 
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What's the definition of gauge pressure?
 
... le sigh. Thanks.
 

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