If he(g) has an average kinetic energy of 8750 j/mol under certain conditions, what is the root mean square speed of cl2(g) molecules under the same conditions?

18.74 m/s is the root mean square speed of chlorine gas molecules under the same conditions.

Explanation:

Average kinetic energy is defined as the average of the kinetic energies of all the particles present in a system. It is determined by the equation:

where,

K.E = Average kinetic energy

=Universal gas constant =8.314 J /mol K

T = Temperature of the system

He has an average kinetic energy of 8750 J/mol

T =

T = 701.63 K

The formula used for root mean square speed is:

where,

= root mean square speed

k = Boltzmann’s constant =

T = temperature =701.63 K

M = atomic mass = 0.071 kg/mole

= Avogadro’s number =

18.74 m/s is the root mean square speed of chlorine gas molecules under the same conditions.

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