The ratio of specific heats of a gas is defined as the ratio of the heat capacity of the gas at constant pressure to the heat capacity of the gas at constant volume. It is denoted by the symbol 'γ'. Mathematically, it can be expressed as:

γ = Cp / Cv

where Cp is the heat capacity of the gas at constant pressure and Cv is the heat capacity of the gas at constant volume.



In the given problem, one mole of hydrogen and one mole of helium are mixed together. As both the gases are monoatomic, their specific heats at constant volume and constant pressure can be calculated using the following formulas:

Cv = (3/2) R
Cp = (5/2) R

where R is the gas constant.

The heat capacity of the mixture can be calculated using the formula:

Cp,mix = n1Cp1 + n2Cp2

where n1 and n2 are the number of moles of hydrogen and helium, and Cp1 and Cp2 are their respective heat capacities at constant pressure.

Substituting the values, we get:

Cp,mix = (1 x 5/2 R) + (1 x 5/2 R)
Cp,mix = 5R

Similarly, the heat capacity of the mixture at constant volume can be calculated as:

Cv,mix = (1 x 3/2 R) + (1 x 3/2 R)
Cv,mix = 3R

Finally, the ratio of specific heats of the mixture can be calculated as:

γ = Cp,mix / Cv,mix
γ = 5R / 3R
γ = 5/3
γ = 1.67

Therefore, the ratio of specific heats of the mixture of hydrogen and helium is 1.67 or 5/3.



The given answer of 1.5 is incorrect. The correct answer is 1.67 or 5/3.