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A diatomic gas (gamma =1.4) does 200 J o...

A diatomic gas `(gamma =1.4)` does 200 J of work when it is expanded isobarically. Find the heat given to the gas in the process.

Text Solution

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For a diatomic gas , `(C_v = 5/2 R)` and `(C_p 7/2R . R The
work done in an isobaric process is
`(W = p(V_2 - V_1)
= `(nRT _2 - nRT_1) `
` or `(T_2 - T_1 ) = (W/nR)`
The heat process is
`(Q = nC_p (T_2 - T_1 ))`
('=nC_p (W/nR) = 7/2W)
` (= 7/2 xx 200 J = 700 J.
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