One of the most important microscopic properties of gas molecules is velocity. there are several different ways to describe statistically the average velocity of a molecule in a gas. the most obvious measure is the average velocity vavg. however, since the molecules in a gas are moving in random directions, the average velocity is approximately zero. another measure of velocity is (v2)avg, the average squared velocity. since the square of velocity is always positive, this measure does not average to zero over the entire gas. a third measure is the root-mean-square (rms) speed, vrms, equal to the square root of (v2)avg. the rms speed is a good approximation of the typical speed of the molecules in a gas. a. what is the average speed vavg the molecules in the gas? b. because the kinetic energy of a single molecule is related to its velocity squared, the best measure of the kinetic energy of the entire gas is obtained by computing the mean squared velocity, v^2avg, or its square root vrms. the quantity vrms is more common than v^2avg because it has the dimensions of velocity instead of the less-familiar velocity-squared. what is the rms speed vrms of the molecules in the nitrogen gas? c. what is the temperature t of the sample of n2 gas described in the histogram?