Question

A sample of 0.177 g of an ideal gas occupies 1000 cm³ at STP. Calculate the rms speed of the gas molecules.

Answer 1

Here,
V = 10^-3 m³
Density = 0.177 kgm^-3
P = 10⁵pa
$$\begin{gathered} C=\sqrt{\frac{3P}{\rho }}=\sqrt{\frac{3\times {10}^5}{0.177}} \\ =1301.9{\mathrm{ms}}^{-1} \end{gathered}$$