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A cubical box of side 1cm contains helium gas (atomic weight =4) at a pressure of $100N/s^2$.During an abservation time of 1sec,an atom travelling with a root mean square speed parallel to one of the edges of the cube was found to make 500 hits with the wall.Evaluate the temperature of the gas

$\begin{array}{1 1}(A)\;320K\\(B)\;640K\\(C)\;480K\\(D)\;160K\end{array} $

1 Answer

$V_{RMS}=2\times 500=1000$$\sqrt{\large\frac{3RT}{M\omega}}$
$\Rightarrow \large\frac{1000^2\times 0.004}{3\times \large\frac{25}{3}}$$=T$
Hence (D) is the correct answer.
answered May 12, 2014 by sreemathi.v

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