CALC Two moles of an ideal gas occupy a volume V. The gas expands isothermally and reversibly to a volume 3V. (a) Is the velocity distribution changed by the isothermal expansion? Explain.

Video transcript

welcome back everybody. We are looking at an ice, a thermal and reversible process where one mole of helium is going to have a velocity distribution probability given by F of B. Now we are told that the volume increases in size so the change in volume is going to be two times the original volume. And we need to figure out how the velocity distribution is going to change. Now we let me go ahead and write out the formula for the velocity distribution of the Maxwell bolts man distribution. We have that it is four pi times the mass of the gas divided by two pi times the bolts man, constant times temperature. The power of three halves times velocity squared times E. To the negative M. V squared over to Katie. It seems like a lot. I know but you'll notice I I want to make this very clear. This term is velocity, it is not volume. So nowhere in this velocity distribution does volume make a change to the velocity distribution, meaning that the change in our velocity distribution is going to be zero A. K. A. It does not change. And this gives us a final answer of answer choice. A thank you all so much for watching. Hope this video helped. We will see you all in the next one