By what factor does the average velocity of a gaseous molecule increase when the temperature (in kelvin) is doubled?

2.8

4.0

1.4

2.0

Solution

1.4

Average space velocity space equals space square root of fraction numerator 8 RT over denominator πM end fraction end root therefore space straight V subscript av space proportional to space square root of straight T or space fraction numerator left parenthesis straight V subscript av right parenthesis subscript 2 over denominator left parenthesis straight V subscript av right parenthesis subscript 1 end fraction space equals space square root of fraction numerator 2 straight T over denominator straight T end fraction end root space equals space 1.4

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