Final temperature in reversible expansion

[twinklestar28]

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?

 

[TSny]

Your answers look correct to me.

 

[twinklestar28]

ok thanks a lot