Question

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 :
(a) 0.83
(b) 1.50
(c) 3.3
(d) 1.67

Answer 1

Answer:-

The correct option is : (d) 1.67

Explanation:

Cp for monoatomic gas mixture of same volume = 5/2R

Cv = 3/2 R

∴ Cp / Cv = 5÷2R / 3÷2R = 5 / 3 = 1.67

Answer 2

Answer:

d) 1.67

Explanation:

Monoatomic gases = 2 = A and B (Given)

Pressure = P = constant (Given)

Temperature = T = constant (Given)

Thus,

Cp for monoatomic gas mixture of same volume = 5/2R

Cv = 3/2 R

Therefore, as per the formula -

Cp / Cv = Y = 5/2R / 3/2R

= 5 / 3

= 1.67

Since, equal volumes of monoatomic gases are mixed, therefore Y will remain the same. Thus, the ratio of specific heats (Cp/C_v) of the mixture will be 1.67