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Q.

An ideal gas has a specific heat at constant pressure Cp=52R. The gas is kept in a closed vessel of volume 0.0083m3 at a temperature of 300K and pressure 1.6×106 N/m2 . An amount of 2.49×104 J of energy is supplied to the gas. The final temperature of the gas in Kelvin ______.

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answer is 675.

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Detailed Solution

n=PVRT=1.6×106×0.00838.3×300=5.33Cp=52R  ;  Cv=52R-R=32R=32×8.3=12.45 J/mol-KHeat supplied at constant volume =n×Cv×ΔTΔT=375KFinal temperature = 300+375=675 K
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