if the ratio of Cp/Cv for a gas is 1.3 and it's atomic mass is M,the molar massof the gas will be

Question

if the ratio of Cp/Cv for a gas is 1.3 and it's atomic mass is M, the molar mass of the gas will be

Answer 1

We know that,

C_pm - C_vm = R

where,

C_pm = molar heat capacity at constant pressure

C_vm = molar heat capacity at constant volume

As we know,

C_v.m = M.C_v

where, m = molar mass of gas

∴ MC_p - MC_v = R

C_p - C_v = R/M

C_p/C_v - 1 = \(\frac R{C_v.M}\)

⇒ 1.3 - 1 = \(\frac R{C_v.M}\)

⇒ 0.3 = \(\frac R{C_v.M}\)

⇒ M = \(\frac R{C_v\times0.3}\)