Physics

Problem

A cubical box of side 1 meter contains helium gas (atomic weight 4) at a pressure of

100 \text{ N/m}^2

. During an observation time of 1 second, an atom travelling with the root-mean-square speed parallel to one of the edges of the cube, was found to make 500 hits with a particular wall, without any collision with other atoms. Take

R = \frac{25}{3} \text{ J/mol-K}

and

k = 1.38 \times 10^{-23} \text{ J/K}

(a) Evaluate the temperature of the gas. (b) Evaluate the average kinetic energy per atom. (c) Evaluate the total mass of helium gas in the box.

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