Question

If the rms speed of oxygen molecules at STP is 460 m/s, determine the rms speed of hydrogen molecules at STP. [Molar mass of oxygen = 32 g/mol, molar mass of hydrogen = 2 g/mol]

Answer 1

Data : v_rms (oxygen) = 460 m/s, same temperature, M₀₁ (oxygen) = 32 × 10^-3 kg/mol,

M₀₂ (hydrogen) = 2 × 10^-3 kg/mol

V_rms = \(\sqrt{\frac{3RT}{M_0}}\)

The rms speed of oxygen molecules,V_rms = \(\sqrt{\frac{3RT}{M_{01}}}\)

and that of hydrogen molecules, V_2rms = \(\sqrt{\frac{3RT}{M_{02}}}\)

This is the rms speed of hydrogen molecules at STP.