
3. A mole of perfect Gas initially at 101 325 pa is expanded from 22.4 L at a constant pressure of 0.20 bar at a constant temperature of 273 K until it cannot expand anymore. Is this expansion spontaneous? How much heat is transferred in this process? How much has the entropy changed as a result of this process?
3. A sample of 3.0 mole of a perfect gas at 25 °C expands from 5.0 L to 15.0 L. How much are the entropy changes of the system and the surroundings, and the total change in entropy in the following processes: (a) the gas expands reversibly and isothermally; (b)the gas expands isothermally but irreversibly against an external pressure of zero (Pex= 0), and (c) the gas expands adiabatically and reversibly. (20 pts)
Calculate the new pressure occurring when argon at 25 oC and 1.00 bar in a container of volume 0.500 L is compressed to 0.0500 L and cooled to -25 oC. Also, calculate the entropy change for this process by combining the entropy changes from isothermal and isochoric processes that move the system from the same initial point to the same final point in two stages.
A sample of 1.00 mol ideal gas molecules with Cpm 7/2 R is initially at p 1.00 bar and V 22.44 L and then put thought the following cycle in reversible processes: (a) constant-pressure expansion to twice its initial volume, (b) constant-volume cooling to its initial temperature, (c) isothermal-compression back to 1.00 bar. Calculate q, w, AU, AH, AS for each process and for the whole cycle. (20 pts)
Half a mole of a perfect gas expands isothermally and at
298.15 K from a volume of 10 L to a volume of 20 L. (a) What is the
change in the entropy of the gas? (b) How much work is done on the
gas? (c) What is qsurr ? (d) What is the change in the entropy of
the surroundings? (e)
What is the change in the entropy of the system plus the
surroundings?
Now consider that the expansion...
A volume of 100 m3 of a non-ideal gas is contained at 150°C and 50 bar. The gas is then compressed isothermally to a pressure of 300 bar in a well-designed compressor. What is the volume of the compressed gas, how much work is done to compress it, and how much heat must be removed to maintain the temperature at 150°C during compression? You may apply the principle of corresponding states. The critical properties of the non-ideal gas are Tc...
(1) A process has been proposed whereby an ideal gas is taken from P=10 bar and T=300 K to P=1 bar and T=500K in a closed system. During the process the system performs 1,000 [J] of work and receives 6,430 [j] of heat from the surroundings at a constant temperature of 300 K. The constant pressure heat capacity of the gas Cp=30 [J/(mol K)]. Gas constant R=8.314 [J/(mol K)]. (a) (7 pts.) What is the change of molar internal energy...
(1) A process has been proposed whereby an ideal gas is taken from P=10 bar and T=300 K to P=1 bar and T=500K in a closed system. During the process the system performs 1,000 [j] of work and receives 6,430 [J] of heat from the surroundings at a constant temperature of 300 K. The constant pressure heat capacity of the gas cp=30 [J/mol K)]. Gas constant. R=8.314 [J/(mol K)]. (a) (7 pts.) What is the change of molar internal energy...
1)A gas is compressed at a constant pressure of 0.800 atm from
8.00 L to 1.00 L. In the process, 410 J of energy leaves the gas by
heat. (a) What is the work done on the gas? J
(b) What is the change in its internal energy? J
2) A gas increases in pressure from 2.00 atm to 6.00 atm at a
constant volume of 1.00 m3 and then expands at constant
pressure to a volume of 3.00 m3...
Hydrogen gas (H2) is initially at a pressure of 20 bar and temperature of 300'C (state 1), while occupying a volume of 0.5 m3 in a frictionless piston-cylinder arrangement. The gas then undergoes a reversible cycle in which it expands isothermally to a pressure of 8 bar (state 2). This is then followed by adiabatic compression to restore the pressure back to 20 bar. The cycle is then completed by a constant pressure process. Sketch the process of p-v and...