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Q.

A gas has   γ=4/3 and is heated at constant pressure, what percentage of total heat supplied is used for doing external work:

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a

25%

b

20%

c

10%

d

5%

answer is A.

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Detailed Solution

given specific heat ratio= γ=CpCv=43total heat supplied=∆Q=nCp∆Texternal work done = ∆W=nR∆Tpercentage of total heat supplied in doing external work =∆W∆Qx100 =nR∆TnCp∆Tx100 =RCpx100 =Cp-CvCpx100 =(1-1γ)100 =(1-143)100 =(1-34)100 =14x100 =25%
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