Suppose the absolute temperature of anideal gas is doubled from 100 K to 200 K. (a) Does the averagespeed of the molecules in this gas increase by a factor that is greaterthan, less than, or equal to 2? (b) Choose the best explanation fromamong the following:I. Doubling the Kelvin temperature doubles the average kineticenergy, but this implies an increase in the average speed by afactor of 22 = 1.414c, which is less than 2.II. The Kelvin temperature is the one we use in the ideal-gas law,and therefore doubling it also doubles the average speed ofthe molecules.III. The change in average speed depends on the mass of the molecules in the gas, and hence doubling the Kelvin temperaturegenerally results in an increase in speed that is greater than afactor of 2.

Suppose the absolute temperature of an
ideal gas is doubled from 100 K to 200 K. (a) Does the average
speed of the molecules in this gas increase by a factor that is greater
than, less than, or equal to 2? (b) Choose the best explanation from
among the following:
I. Doubling the Kelvin temperature doubles the average kinetic
energy, but this implies an increase in the average speed by a
factor of 22 = 1.414c, which is less than 2.
II. The Kelvin temperature is the one we use in the ideal-gas law,
and therefore doubling it also doubles the average speed of
the molecules.
III. The change in average speed depends on the mass of the molecules in the gas, and hence doubling the Kelvin temperature
generally results in an increase in speed that is greater than a
factor of 2.