Multiple choice

A flask of 10-3 m3 volume contains 3 x 1022 molecules of oxygen at a certain temperature. The mass of one molecule of oxygen is 5.3 x 10-26 kg and rms velocity of its molecules at the same temperature is 400m/s. Calculate the pressure of the gas.

  1. 8.48 x 104 N/m2

  2. 25.44 x 104 N/m2

  3. 636 N/m2

  4. 212 N/m2

  5. 2.12 x 10-4 N/m2
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A Correct answer
Explanation

Pressure of the gas P = (1/3)(mN/V)v2 rms Here  V =10-3m3 N = 3 x 1022 m = 5.3 x 10-26 kg v rms = 400 m/s ∴ P = (1/3){ 5.3 x 10-26 x 3 x 1022 (400)2}/10-3        = 8.48 x 104 N/m2

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