1.

A sample of an ideal gas is heated doubling its absolute temperature . Which of the following statements best describes the result of heating the gas?

Answer»

The root-mean-SQUARE speed of GAS molecules doubles.
The average KINETIC energy of the gas molecules increases by a factor of `sqrt(2)`.
The average kinetic energy of the gas molecules increases by a factor of 4.
The speeds of the gas molecules COVER a wide range, bu the root-man-square speed increases by a factor of `sqrt(2)`.

Solution :From the kinetic theory of gases,, we know that the average kinetic energy of the molecules of an ideal as is directly proportional to the absolute temperature. This eliminates (B) and (C). Further, more, the fact that `KE_(avg)propT` implies that the root-mean-square speed of the gas molecules, `v_(max)`, is proportional to the to the square root of the absolute temperature, this eliminates (A) and (D).


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