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  • 3 moles of an ideal monoatomic gas performs a cycle as shown in figure. The gas temperatures <img alt="\mathrm{T_{A}=400 \mathrm{~K}, T_{B}=800 \mathrm{~K}, T_{C}=2400 \mathrm{~K}, T_{D}=1200

3 moles of an ideal monoatomic gas performs a cycle as shown in figure. The gas temperatures \mathrm{T_{A}=400 \mathrm{~K}, T_{B}=800 \mathrm{~K}, T_{C}=2400 \mathrm{~K}, T_{D}=1200 \mathrm{~K}}, work done by the gas is


 

Option: 1

10 \mathrm{~kJ}


Option: 2

24 \mathrm{~kJ}


Option: 3

30 \mathrm{~kJ}


Option: 4

40 \mathrm{~kJ}


Answers (1)

best_answer

\mathrm{W_{B C}=3 R\left(T_{C}-T_{B}\right)}
\mathrm{W_{A B}=W_{C D}=0}

Because, the processes are isochoric
\mathrm{W_{D A}=3 R\left(T_{A}-T_{D}\right)}

\mathrm{\therefore}  Total work done

\mathrm{W_{B C}+W_{D A} =3 R\left(T_{A}+T_{C}-T_{B}-T_{D}\right) }
                            \mathrm{=3 R(400+2400-800-1200)}
                            \mathrm{=2400 R=24 \mathrm{~kJ}}

Posted by

SANGALDEEP SINGH

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