A rigid insulated tank is divided into 2 equal compartments by a thin rigid partition. One of the compartments contains air, assumed to be an ideal gas at 800 kPa and 300 K. The other compartment is under a vacuum. The partition is suddenly broken and the air rushes into the evacuated compartment. The tank pressure and temperature eventually equilibrate. (a) define the system you will use and draw a labeled schematic. (b) write the energy balance for the system, making simplifications as appropriate (c) what is the final temperature of the gas, K?
A rigid insulated tank is divided into 2 equal compartments by a
thin rigid partition. One of the compartments contains air, assumed
to be an ideal gas at 800 kPa and 300 K. The other compartment is
under a vacuum. The partition is suddenly broken and the air rushes
into the evacuated compartment. The tank pressure and temperature
eventually equilibrate.
(a) define the system you will use and draw a labeled schematic.
(b) write the energy balance for the system, making simplifications
as appropriate
(c) what is the final temperature of the gas, K?
(d) what is the final pressure, kPa?
(e) To calculate the entropy change of the process, you need to define
a reversible path from the initial state to the final state. What is
that path?
(f) What is ∆ssys for the process.
(g) To calculate the entropy change of the surroundings, you need
to define a reversible path from the initial state to the final state.
What is that path?
(h) What is the entropy change of the surroundings. ∆ssurr
(i) What is the total change in entropy ∆stot = ∆suniv = sgen
(j) Is the process reversible or irreversible?
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