Multiple choice

A gas is filled in a container at pressure P0. If the mass of each molecule is halved and speeds are double, then the resulting pressure will be

  1. 2 Po

  2. 4 Po

  3. Po

  4. Po/2

  5. 8 Po
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A Correct answer
Explanation

Po = (1/3)(Nm/V) v2 rms (Here m = mass of each molecule, V = volume of the gas) Now , m’ = (1/2)m V’ rms = 2 v rms P’ = (1/3)(Nm/2V)4 v2 rms      = 2 x (1/3)(Nm/V) v2 rms = 2 Po

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