I have the answer but do not understand the steps. I\'d really appreciate if som
ID: 1617295 • Letter: I
Question
I have the answer but do not understand the steps. I'd really appreciate if someone could break each step down please and thank you!
Problem 6(10 pts.): A monatomic (cw 3/2 R) ideal gas is used in the cycke shown in the diagram. Determine the work done by the gas W the heat Qand the change in thermal energy of the EasEe during each stage of the cycle and the net values for the entire cycle. Enter your answers in the table below. The amount of gas is 0.02 mole; pressure pi 1.0 atm: pressure pa 3.0 atm; volume Vi 0.5L volume 15L Stage 2 Stage Stage we Stage 1 Stage 3 Stage 2 Stage 3 Net (total)Explanation / Answer
We'll use the formua, Q=E + W
STAGE 1
W= zero (no area enclosed under the curve)
Q= E
E= n Cp dT where Cp= R+ Cv= R+ 3R/2 = 5R/2 and dT is change in temperature.
Since temperaturs aren't provided, we'll use dT= V(P2-P1)/nR
So, E= V5(P2-P1)/2 {V will be V1}
STAGE 2
W= nRT ln V2/V1
where T= P1V1/nR
Q= E + W
E= zero (dT=0, for isothermal process)
STAGE 3
W= (V1-V2) x P1 {work done might come as negative}
Q=E + W
E= nCv dT
dT= P1(V1-V2) / (nR)