MCQ
The ratio of specific heat of a mixture of one mole of helium and one mole of hydrogen gas will be
- A$1$
- ✓$1.5$
- C$1.53$
- D$1.33$
✓
Answer
Correct option: B.
$1.5$
b
${\gamma_{mix}} = \frac{{{n_1}{\gamma _1}({\gamma _2} - 1) + {n_2}{\gamma _2}({\gamma _1} - 1)}}{{{n_1}({\gamma _2} - 1) + {n_2}({\gamma _1} - 1)}}$
${\gamma_{mix}} = \frac{{{n_1}{\gamma _1}({\gamma _2} - 1) + {n_2}{\gamma _2}({\gamma _1} - 1)}}{{{n_1}({\gamma _2} - 1) + {n_2}({\gamma _1} - 1)}}$
$ = \frac{{\frac{5}{3}\left( {\frac{7}{5} - 1} \right) + \frac{7}{5}\left( {\frac{5}{3} - 1} \right)}}{{\left( {\frac{7}{5} - 1} \right) + \left( {\frac{5}{3} - 1} \right)}} = 1.5$
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