Question

Calculate the volume of the following gas sample at STP. 2.3 mol He

Answer 1

Given,

The gas sample is at STP.

Thus, the temperature of the gas, T=273.15 K

The pressure of the gas, P=10⁵ Pa

The quantity of the gas, n=2.3 mol

The value of the gas constant is R=8.314 m³·Pa·K⁻¹·mol⁻¹

From the ideal gas equation,

`\begin{gathered} PV=\text{nRT} \\ V=\frac{\text{nRT}}{P} \end{gathered}`

Where V is the volume of the gas.

On substituting the known values,

`\begin{gathered} V=(2.3*8.314*273.15)/(10^5) \\ =0.052m^3 \end{gathered}`

Thus the volume of the given gas at STP is 0.052 m³