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A cubical box of side 1 meter contains helium gas (atomic weight 4 ) at a pressure of \( 100 \mathrm{~N} / \mathrm{m}^{2} \). During an observation time of 1 second, an atom travelling with the root mean square speed parallel to one of
\( P \) the edges of the cube, was found to make 500 hits with a particular wall, without any collision with other atoms. Take \( \mathrm{R}=25 / 3 \mathrm{~J} / \mathrm{mol}-\mathrm{K} \) and \( \mathrm{k}=1.38 \times 10^{-23} \mathrm{~J} / \mathrm{K} \).
W.
(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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