Two well-insulated rigid tanks of equal volume, tank A and tank B, are connected

Question

Two well-insulated rigid tanks of equal volume, tank A and tank B, are connected via a valve. TankA is initially empty. Tank B has 2 kg of Argon at 350 K and 5000 kPa. The valve is opened and theArgon fills both tanks. State 2 is the final equilibrium state. The temperature and pressure of theroom in which the tanks sit are 300 K and 100 kPa, respectively. Perform a closed system analysis.

a. Determine the entropy produced in the process.

b. Determine the exergy (or availability) destroyed in the process using an exergy balance and using the entropy produced.

c. Determine the total exergy in tank B initially.

Explanation / Answer

The initial mass of argon = 2Kg

P1 = 5000kPa

T1 = 350K

V1 = moles X R X Temperature / Pressure

Mole = Mass / Atomic weight = 2000 g / 40 = 50moles

V1 = 50 X 0.0821 'x 350 / 49.34 atm = 29.12 L

considering that the wo tanks are of same volume

The chane in entropy = nRlnV2/V1

So change in entropy = 50 X 8.314 X ln 2/1 = 288.08 Joules

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