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Manipal MET2010ChemistryStates of Matter

The root mean square velocity of a gas is doubled when the temperature is

Options

  1. Aincreased four times
  2. Bincreased two times
  3. Creduced to half
  4. Dreduced to one fourth

Correct answer

A. increased four times

Step-by-step solution

v_ rms = 3 R T M v_ rms T At two different temperatures, v_ rms v_ rms ^ = T T^ Given, v_ rms ^ =2 v_ rms 1 2 = T T^ or 1 4 = T T^ T^ =4 T v_ rms gets doubled, when the temperature is increased four times.

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