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InterviewSolution
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An idealgas has `C_(p) =( 5)/(2) R`. The gas is kept is a closed container of volume `0.0083m^(3)` at a temperature of 300 K and a pressure of `1.6 xx 10^(6) Nm^(-2)`. An amount of energy equal to `2.49 xx10^(4) J` is supplied to the gas. Calculated the final temperature of the gas. |
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Answer» No. of moles of the gas `(n) = (PV)/(RT) = ( 1.6 xx 10^(6) xx 0.0083)/( 8.3 xx300) =5.33` Given `C_(p) = ( 5)/(2) R` `:. C_(v) = C_(p) -R = ( 5)/(2) R-R= (3)/(2) R=(3)/(2) xx 8.3 = 12.45 JK ^(-1) mol^(-1)` Heat supplied at constant volume `= n xx C_(v) = DeltaT` `:.2.49 xx 10^(4) = 5.33 xx 12.45 xx Delta T ` or `DeltaT = 375K` `:. `Final temperature `= 300 + 375 K = 675K` |
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