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Question: The ratio of specific heat of a mixture of one mole of helium and one mole of hydrogen gas will be...

The ratio of specific heat of a mixture of one mole of helium and one mole of hydrogen gas will be

A

1

B

1.5

C

1.53

D

1.33

Answer

1.5

Explanation

Solution

γMix=n1γ1(γ2−1)+n2γ2(γ1−1)n1(γ2−1)+n2(γ1−1)\gamma_{Mix} = \frac{n_{1}\gamma_{1}(\gamma_{2} - 1) + n_{2}\gamma_{2}(\gamma_{1} - 1)}{n_{1}(\gamma_{2} - 1) + n_{2}(\gamma_{1} - 1)}

=53(75−1)+75(53−1)(75−1)+(53−1)=1.5= \frac{\frac{5}{3}\left( \frac{7}{5} - 1 \right) + \frac{7}{5}\left( \frac{5}{3} - 1 \right)}{\left( \frac{7}{5} - 1 \right) + \left( \frac{5}{3} - 1 \right)} = 1.5