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Three moles of an ideal monoatomic gas perform a cycle shown in figure. The gas temperatures in different states are `T_(1) = 400 K, T_(2) = 800 K, T_(3) = 2400 K`, and `T_(4) = 1200 K`. The work done by the gas during the cycle is :

A

`5kJ`

B

`10 kJ`

C

`15 kJ`

D

`20 kJ`

Text Solution

Verified by Experts

The correct Answer is:
d
`"Process"_(1 to 2) " and Process "_(3 to 4) ` are isochoric process.
`W_(12) = 0, W_(34) = 0 `
`W_(23) = nR(T_(3) - T_(2)) = 3 R(2400 - 800) = 4800 R`
`W_(41) = nR(T_(1) - T_(4)) = 3R(400 - 1200) = - 2400 R`
`W = (4800 - 2400)R = 2400R = 20 kJ`
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