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A diatomic gas (gamma=1.4) does 2000J of...

A diatomic gas `(gamma=1.4)` does 2000J of work when it is expanded isobarically. Find the heat given to the gas in the above process (in kJ).

A

7000

B

7

C

5000

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
For a diatomic gas, `C_(v)=(5)/(2)R` and `C_(v)=(7)/(2)R`
The work done is an isobaric procers is
`W=p(V_(2)-V_(1))=nRT_(2)-nRT_(1)` or `T_(2)-T_(1)=(W)/(nR)`
The heat given in an isobaric process is `Q=nC_(p)`
`(T_(2)-T_(1))=nC_(p)(W)/(nR)=(7)/(2)`
`W=(7)/(2)xx2000J=7000J=7kJ`
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