JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
Two moles a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume is _______.
- A \(\frac{9}{4} R\)
- B \(\frac{7}{4} R\)
- C \(\frac{3}{2} R\)
- D \(\frac{5}{2} R\)
Answer & Solution
Correct Answer
(A) \(\frac{9}{4} R\)
Step-by-step Solution
Detailed explanation
\( \mathrm{C}_{\mathrm{V}} \)\( =\frac{\mathrm{n}_1 \mathrm{C}_{\mathrm{r}_1}+\mathrm{n}_2 \mathrm{C}_{\mathrm{r}_2}}{\mathrm{n}_1+\mathrm{n}_2} \) \( =\frac{2 \times \frac{3}{2} \mathrm{R}+6 \times \frac{5}{2} \mathrm{R}}{2+6} \) \( =\frac{9}{4} \mathrm{R}\)
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