Question

. At 273°C and 380 torr pressure, the density of a gas is 1.25kg/m². So its density at STP in g/l is​

Answer 1

Given :

Temperature of the gas (T₁) = 273°C = 546K

Pressure of the gas (P₁) = 380 torr

Density of the gas (ρ₁) = 1.25kg/m³

To Find :

The density of the gas at STP condition

Solution :

• At STP condition of the gas

         Pressure(P₂) = 760 torr

        Temperature(T₂) = 273K

• We know the relation   $\frac{P_{1}V_{1} }{T_{1} } = \frac{P_{2}V_{2} }{T_{2} }$

          $\frac{P_{1} }{\rho_{1}T_{1} } = \frac{P_{2} }{\rho_{2}T_{2} }$

          $\frac{380}{1.25\times 546} =\frac{760}{\rho_{2}\times 273 }$

          $\rho_{2} = 4\times1.25$

          $\rho_{2} = 5Kg/m^{3}$

The density of the gas at STP is 5Kg/m³.