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Question: In an isobaric process, the ratio of heat supplied to the system (dQ) and work done by the system (d...

In an isobaric process, the ratio of heat supplied to the system (dQ) and work done by the system (dW) for diatomic gas is

A

1 : 1

B

7 : 2

C

7 : 5

D

5 : 7

Answer

7 : 2

Explanation

Solution

dE=dW+dQ;dW=dQdEdQdW=dQdQdEdE = dW + dQ; - dW = dQ - dE\therefore\frac{dQ}{dW} = \frac{dQ}{dQ - dE}

= Cp(CpCv)\frac{C_{p}}{\left( C_{p} - C_{v} \right)}

= 7R2R\frac{7R}{2R} (cp = 7R2\frac{7R}{2})