The mass of H₂ molecule is 3.32 × 10^–24 g. If 10²³ Hydrogen molecules per second strike 2 cm² of wall at an angle of 45° with the normal, when moving with a speed of 10⁵ cm/s, the pressure exerted on the wall is nearly.

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2350 N/m²

1350 N/m²

3320 N/m²

1660 N/m²

answer is B.

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Detailed Solution

$P\, = \,\frac{{{{\left( {\Delta p} \right)}_n}}}{{tA}}\, = \,\frac{{2mV\cos \theta N}}{{tA}}$

$= \,\frac{{2 \times 3.32 \times {{10}^{ - 27}} \times {{10}^3} \times \cos 45 \times {{10}^{23}}}}{{1 \times 2 \times {{10}^{ - 4}}}}$

$= \,2350N/{m^2}$

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