3. Consider the piston cylinder assembly shown below. It is well insulated and initially contains two 10,000 kg blocks at rest on the 0.05 m² piston. The initial temperature is 500 K. The ambient pressure is 10 bar. 2 moles of gas A are contained in the cylinder. This gas is compressed in a process where another 10,000 kg block is added. The following data are available for gas A:

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3. Consider the piston cylinder assembly shown below. It is well insulated and initially
contains two 10,000 kg blocks at rest on the 0.05 m² piston. The initial temperature is
500 K. The ambient pressure is 10 bar. 2 moles of gas A are contained in the cylinder.
This gas is compressed in a process where another 10,000 kg block is added. The
following data are available for gas A:
a) Ideal gas heat capacity of gas A at constant pressure:
Cp =20 +0.05T where cp is in [J/mol] and T is in [K].
b) Gas A is can be described by the following equation of state:
P =
RT
v-b
With constants a = 25 K and b = 3.2 × 10-5 m³/m
mol
m=10,000 kg
Determine the Temperature of gas A after this process. Note: This compression process is
not isentropic. What is the entropy change of the universe for this process?
+
Process consists of adding third
m=10,000 kg 10,000 kg block to compress piston
aP
T
A = 0,05 m²
Psurr=10 bar
2 moles of gas A
m-10,000 kg
Tinitial = 500 K
well
insulated
Transcribed Image Text:3. Consider the piston cylinder assembly shown below. It is well insulated and initially contains two 10,000 kg blocks at rest on the 0.05 m² piston. The initial temperature is 500 K. The ambient pressure is 10 bar. 2 moles of gas A are contained in the cylinder. This gas is compressed in a process where another 10,000 kg block is added. The following data are available for gas A: a) Ideal gas heat capacity of gas A at constant pressure: Cp =20 +0.05T where cp is in [J/mol] and T is in [K]. b) Gas A is can be described by the following equation of state: P = RT v-b With constants a = 25 K and b = 3.2 × 10-5 m³/m mol m=10,000 kg Determine the Temperature of gas A after this process. Note: This compression process is not isentropic. What is the entropy change of the universe for this process? + Process consists of adding third m=10,000 kg 10,000 kg block to compress piston aP T A = 0,05 m² Psurr=10 bar 2 moles of gas A m-10,000 kg Tinitial = 500 K well insulated
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