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In an ideal gas, if the masses of all molecules are doubled and their speeds are halved, then the ratio of initial and final pressures of the gas is

Options

  1. A2: 1
  2. B1: 2
  3. C4: 1
  4. D1: 4

Correct answer

A. 2: 1

Step-by-step solution

Pressure of an ideal gas is given by p= 1 3 m N V ( v ^2 ) When mass of molecule is doubled and speed is halved, pressure becomes p^ = 1 3 (2 m) N V ( v 2 )^2= 1 2 1 3 m N V ( v )^2 aligned & = 1 2 p^ & p p^ = 2 1 p: p^ =2: 1 aligned

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