A cylinder of capacity 20 litres is filled with H₂ gas. The total average kinetic energy of translatory motion of its molecules is 1.5 × 10⁵J. The pressure of hydrogen in the cylinder is

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2 × 10⁶N/m²

3 × 10⁶ N/m²

4 × 10⁶ N/m²

5 × 10⁶ N/m²

answer is D.

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Detailed Solution

$\begin{array}{l} PV = \frac{2}{3} E \\ P = \frac{2}{3} \frac{E}{V} = \frac{2}{3} \frac{1 .5 \times 10^{5}}{20 \times 10^{- 3}} \Rightarrow= 5 \times 10^{6} N / m^{2} \end{array}$

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