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The root mean square velocity of \( 1 \mathrm{~mol} \) of a
\( \mathrm{P}^{8} \) monoatomic gas having molar mass \( \mathrm{M} \) is \( \mathrm{V}_{\text {rms }} \). The

W relation between average kinetic energy (E) of the gas and \( \mathrm{V}_{\mathrm{rms}} \) is:
(1) \( \mathrm{V}_{\mathrm{rms}}=\sqrt{\frac{3 \mathrm{E}}{2 \mathrm{M}}} \)
(2) \( \mathrm{V}_{\mathrm{mss}}=\sqrt{\frac{2 \mathrm{E}}{3 \mathrm{M}}} \)
(3) \( \mathrm{V}_{\mathrm{rms}}=\sqrt{\frac{2 E}{M}} \)
(4) \( V_{\mathrm{ms}}=\sqrt{\frac{E}{3 M}} \)
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