Equal volumes of two monoatomic gases, A and B, at same temperature and pressure are mixed. The ratio of specific heats (Cp/Cv) of the mixture will be :

Question

Equal volumes of two monoatomic gases, A and B, at same temperature and pressure are mixed. The ratio of specific heats (Cp/Cv) of the mixture will be : (A) 0.83 (B) 1.50 (C) 3.3 (D) 1.67

Tardigrade Admin · Accepted Answer

For monoatomic gases (Cp/Cν) = &gamma; = (5 / 2 R/3/2 R) = 1.67 ∵ Equal volumes of two monoatomic gases are mixed ∴ &gamma; will remain the same

Q. Equal volumes of two monoatomic gases, A and B, at same temperature and pressure are mixed. The ratio of specific heats $(C_{p} / C_{v})$ of the mixture will be :

0.83

1.50

3.3

1.67

For monoatomic gases $\frac{C _{p}}{C _{ν}} = γ = \frac{5/2 R}{3/2 R}$ = 1.67
$∵$ Equal volumes of two monoatomic gases are mixed
$∴$ $γ$ will remain the same

Q. Equal volumes of two monoatomic gases, A and B, at same temperature and pressure are mixed. The ratio of specific heats (Cp​/Cv​) of the mixture will be :

0.83

1.50

3.3

1.67

For monoatomic gases Cν​Cp​​=γ=3/2R5/2R​ = 1.67 ∵ Equal volumes of two monoatomic gases are mixed ∴ γ will remain the same

Q. Equal volumes of two monoatomic gases, A and B, at same temperature and pressure are mixed. The ratio of specific heats $(C_{p} / C_{v})$ of the mixture will be :

For monoatomic gases $\frac{C _{p}}{C _{ν}} = γ = \frac{5/2 R}{3/2 R}$ = 1.67
$∵$ Equal volumes of two monoatomic gases are mixed
$∴$ $γ$ will remain the same