Isothermals and Adiabats

Question 1

Expansion on an Isothermal reversible process is…

Answer 1

w = -nRT x ln(Vf/Vi)

Larger T, more work
Vf > Vi, work < 0

Question 2

Expansion on an adiabatic reversible process is…

Answer 2

Expands fast enough so no heat transfer, slow enough to be quasistatic.
V and T will change.
For Ideal, deltaV = f/2 x nRdT
-PdV = f/2 x nRdT

Question 3

What is the relationship between initial and final V and T of an adiabatic path?

Answer 3

Tf = Ti x (Vi/Vf)^1/c

Where c = f/2

Question 4

What is the relationship between initial and final V and P of an adiabatic path?

Answer 4

Pf = Pi x (Vi/Vf)^¥

Where ¥ = f+2/2

Question 5

Since V and T change in adiabatic but Q does not, change in U = W. So what does change in U equal by Equipartition?

Answer 5

(f/2) x nRdT