Browse Questions

# One mole of a monoatomic ideal gas is mixed with two moles of a diatomic gas. What is the molar specific heat of the mixture at constant volume?

$\begin{array}{1 1} 2.17\;R \\ 1.83\;R \\ 2R \\ 3.5\;R \end{array}$

Toolbox:
• Two specific heats are defined for gases, one for constant volume, $C_v$ and one for constant pressure $C_p$.
• For a monoatomic gas in constant volume, $C_1 = \frac{3}{2} R$, where $R$ is the ideal gas constant.
• For a diatomic gas in constant volume, $C_2 = \frac{5}{2} R$, where $R$ is the ideal gas constant.
Given a mixture with One mole of a monoatomic ideal gas is mixed with two moles of a diatomic gas.
The specific heat of the mixture $= C = \large \frac{1 \times C_1 + 2 \times C_2}{3} =$$\large\frac{ 1 \times \frac{3R}{2} + 2 \times \frac{5R}{2}}{3}$$= 2.17 R$