- #1
Rapier
- 87
- 0
Homework Statement
I want to start by saying that my instructor is a particle physics guy. He loves to talk about particles seems to want to rush through fluids and thermo so he can get to particles and the 'real modern physics.' He is skipping, skimming and not really covering a lot of this material and I'm having to search it out on my own. Keeping that in mind, if you could dumb any answers down and explain your reasoning/thinking it would greatly help me. Now, on to the problem! :)
There are three problems in this week's homework that deal with the work performed by changing pressure/temperature on ideal gases.
I'm copying the whole problem so that you have all the information. The first bits are easy-peasy.
---------
A quantity of ideal gas at 40 oC and 150 kPa in a sealed balloon occupies a volume of 2.7 Liters (L).
(a) How many moles of gas are present?
n = mol *
.1555 OK
(b) If the temperature is raised to 60 oC and the pressure is raised to 350 kPa, what volume does the gas now occupy (assuming no leaks)?
V = L *
1.23066 OK
(c) The gas now has its pressure lowered from 350 kPa to 150 kPa isothermally at temperature 60 oC. Calculate the final volume of the gas.
V = L *
2.8715 OK
(d) Calculate the work done by the gas during the isothermal process described in part (c).
W = J
(e) The gas is now compressed from the volume found in part (c) back to its original volume of 2.7 L at a constant pressure of 150 kPa. Calculate the work is done by the gas during this isobaric process?
W = J
Homework Equations
PV= nRT
W = ΔKE
KE = 1/2(mv^2)
KE = 3/2(kT)
The Attempt at a Solution
Work is the change in kinetic energy. So I need to be able to calculate the kinetic energy before and after the lowering of the pressure. I realize intellectually that changing the pressure requires some kind of work, but I can't seem to find any equations that take pressure into account in relation to kinetic energy. In this case, the temperature is not changing so the 3/2(kT) would be zero.
I guess my question boils down to, how does a change in pressure equate to a change in kinetic energy?
Sorry for the wordiness, but I'm really trying very hard to understand all this. Thanks, you guys are great!