Ahydrogen molecule (diameter 1.38 × 10-8 cm), traveling at the rms speed, escapes from a 4200 k furnace into a chamber containing cold argon atoms (diameter 3.43 × 10-8 cm) at a density of 4.43 × 1019 atoms/cm3(a) what is the speed of the hydrogen molecule

The speed of hydrogen molecule is

Explanation:

The equation used to calculate the root mean square speed of a molecule is:

where,

= root mean square speed of the molecule = ?

R = Gas constant = 8.314 J/mol.K

T = temperature = 4200 K

M = molar mass of hydrogen molecule =   (Conversion factor:  1 kg = 1000 g)

Putting values in above equation, we get:

Hence, the speed of hydrogen molecule is

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