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  • 3 moles of an ideal monoatmic gas performs a cycle as shown in the fiq. the gas temperature <img alt="\mathrm{T_1=400K ,T_2=800K,\: T_3=2400K,\: T_4=1200K}" src="https://entrancecorner.oncodecogs.c

3 moles of an ideal monoatmic gas performs a cycle as shown in the fiq. the gas temperature \mathrm{T_1=400K ,T_2=800K,\: T_3=2400K,\: T_4=1200K} .What will be the net work done.


 

Option: 1

20 \mathrm{~J}
 


Option: 2

{20000 \mathrm{~J}}
 


Option: 3

200 \mathrm{~J}

 


Option: 4

2000 \mathrm{~J}


Answers (1)

best_answer

\mathrm{W_{A B}=C_{C D}=0}, because process is isochoric.

\mathrm{ W_{A D}=n R \Delta T=3 R\left(T_A-T_D\right)=3 \times 8.31(2400-800)=39884 } ,W_BC =3R(T_B-T_C) = 3\times 8.31(400-1200)= -19944

 

\mathrm{ \therefore \quad \text { Total work done } W_{A D}+W_{B C}=39888-19944=20 \times 10^3 \mathrm{~J}=19944 }

\mathrm{ \approx 20 \times 10^3 \mathrm{~J} }



 

Posted by

Nehul

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