Final temperature in reversible expansion

  • #1
twinklestar28
21
0

Homework Statement



One mole of an ideal monatomic gas initially at volume Vi and temperature 1000k expands to a final volume Cvi in three reversible steps: 1) isothermal expansion from Vi to aVi, 2) adiabatic expansion from aVi to bVi and 3) isothermal expansion from bVi to Cvi

In terms of a,b,c calculate
a) final temperature
b) total heat transferred to gas
c) total entropy change


Homework Equations



TV^γ-1=C
Q=nrtln(V1V2)
ds= dq/dt


The Attempt at a Solution



a) final temperature = 1000(a/b)^2/3

b) heat transferred = 1000Rlna + 1000R(a/b)^2/3ln(c/b)

c) entropy change = Rln(ac/b)

Could someone check these for me please?
 

Answers and Replies

  • #2
TSny
Homework Helper
Gold Member
13,613
3,796
Your answers look correct to me.
 
  • #3
twinklestar28
21
0
ok thanks alot
 

Suggested for: Final temperature in reversible expansion

Replies
2
Views
10K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
0
Views
3K
Replies
3
Views
883
Replies
2
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
1
Views
6K
Top