Q.

The mass of hydrogen molecule is 3.32 ×10-27 kg. If 1023 hydrogen molecules strike per second at 2 cm2 area of a rigid wall at an angle of 45° from the normal and rebound back with a speed of 1000 ms-1, then the pressure exerted on the wall is

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a

0.23 × 106 Pa

b

23.4 × 103 Pa

c

0.23 × 103 Pa

d

2.34 × 103 Pa

answer is A.

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Detailed Solution

F = rate of change of momentum =ΔpΔt=(nm)(2vcosθ)

Pressure, p=FA=(nm)(2vcosθ)A

                    =1023×3.32×10-27×2×1000×cos45°2×10-4

                     =2.34 × 103 Nm-2   or   Pa

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