A) 40/27
B) 19/13
C) 67/45
D) 23/15
Correct Answer: B
Solution :
\[\gamma \,\,=\,\,\frac{{{N}_{1}}{{C}_{{{P}_{1}}}}\,+\,{{N}_{2}}{{C}_{{{P}_{2}}}}}{{{N}_{1}}{{C}_{{{v}_{1}}}}\,+\,{{N}_{2}}{{C}_{{{v}_{2}}}}}\] \[\gamma \,\,=\,\,\frac{n.\,\frac{5}{2}\,\,R\,\,+\,\,2n.\,\frac{7}{2}\,\,R}{n.\,\frac{3}{2}\,\,R\,\,+\,\,2n.\,\frac{5}{2}\,\,R}\,\,=\,\,\frac{19nR\,\,\times \,\,2}{2\,\left( 13nR \right)}\] \[\gamma \,\,=\,\,{{\left( \frac{{{C}_{P}}}{{{C}_{v}}} \right)}_{mixture}}\,\,=\,\,\frac{19}{13}\]
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