Question

Calculate
RMS speed of hydrogen gas at 0 degree Celsius

Answer 1

where R is the universal gas constant in J/mol I.t is temperature in k and M is molar mass in kg/mol

Answer 2

Answer:

The root mean square speed of hydrogen gas at 0°C is equal to  1.845×10³ms⁻¹.

Explanation:

Given:

The hydrogen gas at 0°C has temperature, $T=273K$

Molar mass of Hydrogen molecule  $M=2g=2*10^{-3}kgmol^{-1}$

Root mean square velocity is the square root of the arithmetic mean of different velocities of the molecules of a given gas at given temperature.

$v_{rms}=\sqrt{\frac{3RT}{M} }$

where R  is gas constant, $R=8.314JK^{-1}mol^{-1}$

$v_{rms}=\sqrt{\frac{3*8.314JK^{-1}mol^{-1}*273K}{2*10^{-3}Kgmol^{-1}} }$

$v_{rms}=\sqrt{3404.583*10^{3}}$

$v_{rms}=\sqrt{3.404583*10^{6}}$

$v_{rms}=1.845*10^{3}ms^{-1}$

Therefore the root mean square velocity is equal to 1.845×10³ms⁻¹.