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  • One mole of a monatomic gas is mixed with 3 moles of a diatomic gas. What is the molar specific heat of the mixture at constant volume:Option: 1 <img

One mole of a monatomic gas is mixed with 3 moles of a diatomic gas. What is the molar specific heat of the mixture at constant volume:

Option: 1

2 \mathrm{R}


Option: 2

3 \mathrm{R}


Option: 3

\frac{9}{4} \mathrm{R}


Option: 4

4 \mathrm{R}.


Answers (1)

best_answer

For monatomic gas \mathrm{C}_{\mathrm{v}}=\frac{3}{2} R while of diatomic, \frac{5}{2} R,  so by conservation of energy ,

\mathrm{C}_{\mathrm{v}}=\frac{\mu_{1}\left(C_{v}\right)_{1}+\mu_{2}\left(C_{v}\right)_{2}}{\mu_{1}+\mu_{2}}=\frac{1 \times(3 / 2) R+3(5 / 2) R}{1+3}
i.e. \quad \mathrm{C}_{\mathrm{V}}=\frac{9}{4} \mathrm{R}

Posted by

Suraj Bhandari

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