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  • If heat energy Q is supplied to an ideal diatomic gas, the increase in internal energy is U and the work done by the gas is W. The ratio Q: U: W isOption: 1</str

If heat energy Q is supplied to an ideal diatomic gas, the increase in internal energy is U and the work done by the gas is W. The ratio Q: U: W is

Option: 1

5 : 3 : 2


Option: 2

5 : 2 : 3


Option: 3

7 : 5 : 2


Option: 4

7 : 2 : 5


Answers (1)

best_answer

\mathrm{\text { For a diatomic gas } C_p=\frac{7 R}{2} \text { and } C_v=\frac{5 R}{2}}

\mathrm{\begin{aligned} & \Delta Q=n C_p \Delta T=\frac{7}{2} n R \Delta T \\ & \Delta U=n C_v \Delta T=\frac{5}{2} n R \Delta T \end{aligned}}

From the first law of thermodynamics

\mathrm{\begin{aligned} & \Delta W=\Delta Q-\Delta U=\frac{7}{2} n R \Delta T-\frac{5}{2} n R \Delta T \\ & =n R \Delta T \\ & \therefore \Delta Q: \Delta U: \Delta W=7: 5: 2 \end{aligned}}

Posted by

Kuldeep Maurya

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