Gaseous helium is in thermal equilibrium with liquid helium at 6.4 K. The mass of a helium atom is 6.65 × 10−27 kg and Boltzmann’s constant is 1.38066 × 10−23 J/K. Determine the most probable speed of a helium atom. Answer in units of m/s.

Respuesta :

Answer:

162.78 m/s is the most probable speed of a helium atom.

Explanation:

The most probable speed:

[tex]v_{mp}=\sqrt{\frac{2K_bT}{m}}[/tex]

[tex]K_b[/tex]= Boltzmann’s constant =[tex]1.38066\times 10^{-23} J/K[/tex]

T = temperature of the gas

m = mass of the gas particle.

Given, m = [tex]6.65\times 10^{-27} kg[/tex]

T = 6.4 K

Substituting all the given values :

[tex]v_{mp}=\sqrt{\frac{2\times 1.38066\times 10^{-23} J/K\times 6.4 K}{6.65\times 10^{-27} kg}}[/tex]

[tex]v_{mp}=162.78 m/s[/tex]

162.78 m/s is the most probable speed of a helium atom.

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