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One mole of a monoatomic gas is mixed with one mole of a diatomic gas. What will be the γ for the mixture ?

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1.5

1.54

1.4

1.45

answer is A.

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Detailed Solution

$frac{{({n_1} + {n_2})}}{{{gamma _{mix}} - 1}} = frac{{{n_1}}}{{{gamma _1} - 1}} + frac{{{n_2}}}{{{gamma _2} - 1}}$

$therefore frac{{1 + 1}}{{{gamma _{mix}} - 1}} = frac{1}{{frac{5}{3} - 1}} + frac{1}{{frac{7}{5} - 1}}$

${gamma _{mix}} = 1.5$

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