Question

At NTP the density of a gas is 1.3 kw/m³ and the velocity of sound propagation in the gas is 330 m/s. The degree of freedom of gas molecule is ______.

Options

• 3

• 5

• 6

• 7

Answer 1

At NTP the density of a gas is 1.3 kw/m³ and the velocity of sound propagation in the gas is 330 m/s. The degree of freedom of gas molecule is 5.

Explanation:

V = `(γ"P")/rho`

330 = `sqrt(γxx(1xx10^5)/1.3)`

`((33)^2xx100xx1.3)/(1xx10^5)` = γ

`(1.089xx10^3xx10^2xx1.3)/(1xx10^5)` = γ

`2/"f"+1` = γ = 1.4 = `7/5`

`2/"f" = 2/5`

f = 5