There is a mixture of n moles of helium gas and 2 n moles of oxygen gas. The value of C P C V for the mixture is

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Question: Answered & Verified by Expert

There is a mixture of

n

moles of helium gas and

2 n

moles of oxygen gas. The value of

\frac{C_{P}}{C_{V}}

for the mixture is

PhysicsThermal Properties of MatterNEET

Options:

A $\frac{23}{15}$
B $\frac{40}{27}$
C $\frac{67}{45}$
D $\frac{19}{13}$

Solution:

2853 Upvotes Verified Answer

The correct answer is:

\frac{19}{13}

γ_{mix} = \frac{n_{1} c_{p_{1}} + n_{2} c_{p_{2}}}{n_{1} c_{v_{1}} + n_{2} c_{v_{2}}} = \frac{n (\frac{5}{2} R) + 2 n (\frac{7}{2} R)}{n (\frac{3}{2} R) + 2 n (\frac{5}{2} R)} = \frac{5 + 14}{3 + 10} = \frac{19}{13}

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