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Three moles of an ideal monoatomic gas p...

Three moles of an ideal monoatomic gas performs a cyclic process as shown in the figure. The temperatures in different states are `T_(1)=400K`, T_(2)=800K, T_(3)=2400K` and `T_(4)=1200K`. Determine the work done by the gas during the cycle.
`["Given R"=8.31"J-mol"^(-1)K^(-1)]`

A

`5 kJ`

B

`10 kJ`

C

`15 kJ`

D

`20 kJ`

Text Solution

Verified by Experts

The correct Answer is:
D
d. Process `_(1 rarr 2)` and Process `_(3 rarr 4)`
are isochroic process.
`W_(12) = 0`
`W_(24) = 0`
`W_(23) = n R (T_(3) - T_(2))`
`= 3 R (2400 - 800) = 4800 R`
`W_(41) = n R (T_(1) - T_(4))`
`= 3 R (400 - 1200) = - 2400 R`
`W = (4800 - 1200) R = 2400 R = 20 KJ`
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