Answer:

The density of most gases is inversely proportional to temperature.

For ideal gases, the equation of state is given as

Pv = RT

where,

P = Pressure

v = Specific volume (m^3/Kg)

R = Gas constant (kJ/Kg.K)

T = Temperature (K)

The above equation can be written in terms of density as specific volume is reciprocal of density.

P = ρRT

where,

ρ = density (Kg/m^3)

From the above equation,

**ρ ∝ 1/T**

Density is inversely proportional to the temperature of ideal gases.