Two moles of an ideal gas undergo free expansion from 10 L to 100 L at 300 K. The values of Ssystem and Ssurroundings are (R is universal gas constant)
- Ssystem = 4.606 R; Ssurroundings = 0
- Ssystem = 0; Ssurroundings = 0
- Ssystem = 4.606 R; Ssurroundings = -4.606 R
- Ssystem = 0; Ssurroundings = 4.606 R
Answer
(1) Ssystem = 4.606 R; Ssurroundings = 0
Solution
In free expansion against vacuum, w = 0. Since the process is isothermal, U = 0, so q = 0.
Because no heat is exchanged with the surroundings, Ssurroundings = 0.
For the system, entropy is a state function:
Ssystem = nR ( V2V1 ) = 2.303 2 R 10 ( 10010 ) = 4.606 R.
Answer: (1)