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  • The mass of a hydrogen molecule is 3.32 * 10-27 kg. 1023 such molecules hit every second on a rigid wall of area 2 cm2 at an angle of 45° with a

The mass of a hydrogen molecule is 3.32 * 10-27 kg. 1023 such molecules hit every second on a rigid wall of area 2 cm2 at an angle of 45° with a horizontal velocity of 103 m/s. If the molecules are reflected with the same velocity, then what is the pressure exerted on the wall?

Option: 1

2.35 * 1036


Option: 2

2.35 * 10-13


Option: 3

2.35 * 103


Option: 4

2.35 * 106


Answers (1)

best_answer

Suppose the molecules are incident along PO and reflected along OQ.

Here, < PON = < NOQ = 45°

Change of momentum normal to the wall for each hydrogen molecule = 2mv cos 45°

\therefore Net change of momentum in a second = Exerted force = n * 2mv cos 45°

\therefore The pressure exerted on the wall

        = \frac{Force}{Area} = \frac{n * 2mv \cos 45 \degree}{area}

        = \frac{10^{23} * 2 * 3.32 * 10^{-27} * 10^{3} * \frac{1}{\sqrt{2}}}{2 * 10^{-4}}

        = 2.35 * 10^{3} N/m^2

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