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Question: 2 mole of an ideal monoatomic gas mix with 1 mole of a ideal diatomic gas. The \(\frac{C_{P}}{C_{V}}...

2 mole of an ideal monoatomic gas mix with 1 mole of a ideal diatomic gas. The CPCV\frac{C_{P}}{C_{V}}for the mixture is –

A

1511\frac{15}{11}

B

1711\frac{17}{11}

C

1311\frac{13}{11}

D

None

Answer

1711\frac{17}{11}

Explanation

Solution

2+3γmin1\frac{2 + 3}{\gamma_{\min - 1}}= 2531\frac{2}{\frac{5}{3} - 1}+1751\frac{1}{\frac{7}{5} - 1}

3γmin1\frac{3}{\gamma_{\min - 1}} = 3 + 52\frac{5}{2}

3γmin1\frac{3}{\gamma_{\min - 1}} = 112\frac{11}{2}

gmin–1 = 611\frac{6}{11}

gmin = 611\frac{6}{11}+ 1 = 1711\frac{17}{11}