Consider a monatomic gas of particles each with mass M. What is vx, rms=v2x, the root mean square (rms) of the x component of velocity of the gas particles if the gas is at an absolute temperature T Express your answer in terms of T, kB, M, and other given quantities. Now consider the same system--a monatomic gas of particles of mass M--except in three dimensions. Find vrms, the rms speed if the gas is at an absolute temperature T.
Express your answer in terms of T, kB, M, and other given quantities.
What is the rms speed v0 of molecules in air at 0C Air is composed mostly of N2 molecules, so you may assume that it has molecules of average mass 28.0×1.661×10*27kg=4.65×1026kg.
Express your answer in meters per second, to the nearest integer.
Find 2x, the rms angular speed of the dumbbell about a single axis (taken to be the x axis), assuming that the dumbbell is lined up on the z axis and is in equilibrium at temperature T.
Express the rms angular speed in terms of T, kB, m, d, and other given quantities.
What is the typical rotational frequency frot for a molecule like N2 at room temperature (25C) Assume that d for this molecule is 1Å=1010m. Take the total mass of an N2 molecule to be mN2=4.65×1026kg. You will need to account for rotations around two axes (not just one) to find the correct frequency.
Express frot numerically in hertz, to three significant figures.