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

AI Thread Summary
The discussion revolves around calculating the final temperature of compressed air in a Jaguar XK8 convertible's engine cylinder. The initial conditions include a volume of 493 cm³, atmospheric pressure, and a temperature of 27°C. After compression to 47 cm³ and a gauge pressure of 2.80 x 10^6 Pa, the user attempts to apply the ideal gas law but arrives at an incorrect final temperature of approximately 520°C. The user expresses frustration over the incorrect answer and seeks clarification on potential errors in their calculations, including the definition of gauge pressure. The conversation highlights the complexities of thermodynamic calculations in automotive applications.
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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 celcius . 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 celcius


When I do this problem I change celcius 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 celcius for a total of 519.8825337 degrees celcius. 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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