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# A thermodynamic system is taken from an original state to an intermediate state by the linear process shown in Fig. (12.13)

Q12.9  A thermodynamic system is taken from an original state to an intermediate state by the linear process shown in Fig. (12.13)

Its volume is then reduced to the original value from E to F by an isobaric process. Calculate the total work done by the gas from D to E to F

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The work done by the gas as it goes from state D to E to F is equal to the area of triangle DEF

DF is change in pressure = 300 N m-2

FE is change in Volume = 3 m3

$\\area(DEF)=\frac{1}{2}\times DF\times FE\\ area(DEF)=\frac{1}{2}\times300\times 3\\ area(DEF)=450\ J$

Work done is therefore 450 J.

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