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Q.

3 moles of an ideal mono atomic gas performs a cycle as shown in the fig. The gas temperatures $T_{A}$ = = 400K, $T_{B}$ = = 800K, $T_{C}$ = = 2400K, $T_{D}$ = = 1200K. What will be the net work done. ( ( line AB and CD are passing through the origin)

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a

20J

b

20000J

c

200J

d

2000J

answer is B.

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Detailed Solution

$w o r k d o n e i n t h e p r o c e s s A B a n d C D a r e z e r o a s t h e p r o c e s s e s a r e i s o c h o r i c . w o r k d o n e i n B C, W_{B C} = n R (T_{C} - T_{B}) a n d w o r k d o n e D A, W_{D A} = n R (T_{A} - T_{D}) n e t w o r k d o n e i s n R (T_{C -} T_{B} + T_{A} - T_{D}) 3 X 8.33 (2400 - 800 + 400 - 1200) 25 X 800 = 20000$

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