1.

Calculate the total work done by the gas in the process. (given ln2=0.693).

Answer»

Total work done by gas, WTotal​ = WAB ​+ WBC ​ + WCA

WAB​ = nRT ln 4V/V ​= 2nRT ln2 = 2PV ln2.

Also PA​VA ​= PB​VB​ (As AB is an isothermal process)

or, PB​ = PAVA/VB ​​= PV/4V ​= P/4​.

In the step BC, the pressure remains constant. Hence the work done is,

WBC​ = P/4​(V − 4V) = −3PV/4​.

In the step CA, the volume remains constant and so the work done is zero. The net work done by the gas in the cyclic process is

W = WAB ​ + WBC ​ + WCA

= 2PVln2 − 3PV/4 ​+ 0

Hence, the work done by the gas is 0.636 PV.



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