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  • Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its Cp/Cv value will be : Option: 1 40/27 Option: 2 23/15<b

Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its Cp/Cv value will be :
Option: 1 40/27
Option: 2 23/15
Option: 3 19/13
Option: 4 67/45
 

Answers (1)

best_answer

For monoatomic gas (He)

c_v=\frac{3R}{2}, c_p=\frac{5R}{2}

For diatomic gas (O2)

c_v=\frac{5R}{2}, c_p=\frac{7R}{2}

\\\gamma_{\text {mixure }}=\frac{C_{p_{m i x}}}{C_{v_{m x}}}=\frac{\left(n_{1} C_{p_{1}}+n_{2} C_{p_{2}}\right)}{\left(n_{1} C_{v_{1}}+n_{2} C_{v_{2}}\right)}\\\\=\frac{n\frac{5}{2}R+2n\frac{7}{2}R}{n\frac{3}{2}R+2n\frac{5}{2}R}=\frac{19}{13}

Hence the correct option is (3).

Posted by

vishal kumar

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