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Question

The molecules of a given mass of a gas have a ‘rms’ velocity of 200 m/sec at 270C and 1.0 x 105 N/m2 pressure. When the temperature is 1270C and pressure is 0.5 x105 N/m2 , the ‘rms‘ velocity in m/sec will be

  1. fraction numerator 100 square root of 2 over denominator 3 end fraction
  2. 100 square root of 2
  3. fraction numerator 400 over denominator square root of 3 end fraction
  4. 400

The correct answer is: fraction numerator 400 over denominator square root of 3 end fraction


    straight v subscript r m s end subscript equals square root of fraction numerator 3 R T over denominator M end fraction end root not stretchy rightwards double arrow straight v subscript r m s end subscript proportional to square root of T

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