Question

In: Chemistry

A piston-cylinder apparatus contains initially 1.2 mol of ideal gas at 6 bar and 25°C. Then...

A piston-cylinder apparatus contains initially 1.2 mol of ideal gas at 6 bar and 25°C. Then the piston is moved downward to increase the pressure to 12 bar pressure. You can ignore the change in potential energy associated with the piston moving.

a. Write the First Law of Thermodynamics and simplify for this problem given that temperature of the system changes.

b. Assuming Isothermal operation what are the initial and final volumes of gas for the above process (L)?

c. If this process is carried out isothermally and the work done on the gas is 6.2 L ·bar then what is the value for heat (J) and discuss if this is heat added or removed?

d. If the process is instead done adiabatically and the work done on the gas is still 6.2 L ·bar. Again we can assume
U =mCΔT where C=5*R/2 (I)

as in Problem 1, then what is the final temperature (°C)?

Solutions

Expert Solution


Related Solutions

A monatomic ideal gas is contanined in a cylinder with a moveable piston. Initially the volume...
A monatomic ideal gas is contanined in a cylinder with a moveable piston. Initially the volume of the cylinder is 0.25m^3. The gas is compressed under a constant pressure of 3 Pa until the volume has been halved. Then the volume is held constant while the pressure is doubled. Finally, the gas is allowed to expand isothermally back to its original condition. a)Sketch a P-V diagram for this process. Label the corners 1, 2, 3 with 1 being the beginning...
A piston–cylinder assembly contains propane, initially at 27°C, 1 bar, and a volume of 0.1 m3....
A piston–cylinder assembly contains propane, initially at 27°C, 1 bar, and a volume of 0.1 m3. The propane undergoes a process to a final pressure of 4 bar, during which the pressure–volume relationship is pV1.1 = constant. For the propane, evaluate the work and heat transfer, each in kJ. Kinetic and potential energy effects can be ignored.
A horizontal rectangular piston contains 1.85 mol of a polyatomic ideal gas at a pressure of...
A horizontal rectangular piston contains 1.85 mol of a polyatomic ideal gas at a pressure of 1.013x10^5 Pa and a temperature of 322.5 C. The gas within the piston is cooled to 264.0 C. (a) If the piston undergoes an isovolumetric process, what is the change in entropy of the gas? J/K (b) If the piston undergoes an isobaric process inside the chamber, what is the change in entropy of the gas? J/K
A cylinder containing ideal gas is sealed by a piston that is above the gas. The...
A cylinder containing ideal gas is sealed by a piston that is above the gas. The piston is a cylindrical object, with a weight of 36.0 N, which can slide up or down in the cylinder without friction. The inner radius of the cylinder, and the radius of the piston, is 7.00 cm. The top of the piston is exposed to the atmosphere, and the atmospheric pressure is 101.3 kPa. The cylinder has a height of 30.0 cm, and, when...
Constant amount of ideal gas is kept inside a cylinder by a piston. The piston is...
Constant amount of ideal gas is kept inside a cylinder by a piston. The piston is locked in to position, it is not allowed to move. The gas is then heated up. Compare the initial (i) and the final (f) physical quantities of the gas to each other. (The fill in the blank options are greater than, less than, or equal too). The volume Vf is ... Vi. The temperature Tf is ... Ti. The internal energy Uf is ......
A cylinder contains 4 mol of an ideal gas at 30oC.  If it expands from an initial...
A cylinder contains 4 mol of an ideal gas at 30oC.  If it expands from an initial volume of 1.0 m3 to 2.0 m3 while maintained at a constant pressure of 200 kPa. What is the change in the temperature of the gas? How much heat is absorbed or released from the system, over the process?   The pressure is then reduced while the gas is held at a constant volume. If over this process the gas is returned to its original...
A weighted piston-cylinder device (pressure is not constant) initially contains 1.2 kg saturated liquid water at...
A weighted piston-cylinder device (pressure is not constant) initially contains 1.2 kg saturated liquid water at 190oC. Now heat is transferred to the water until the volume quadruples (increase four times) and the cylinder contains saturated vapor only. Determine: a) The final volume of the tank. b) The final temperature and pressure. c) The internal energy change of the water.
A piston-cylinder device initially contains 0.3 m3 of nitrogen gas at 350 kPa and 35 ℃.
A piston-cylinder device initially contains 0.3 m3 of nitrogen gas at 350 kPa and 35 ℃. An electric heater within the device is turned on and is allowed to pass a 240W for 6 minutes. Nitrogen expands at constant pressure, and a heat loss of 3000 J occurs during the process. Determine the final temperature of the nitrogen. (Average CP for Nitrogen is 1.039 kJ/kgK and molecular weight of Nitrogen is 28.01 kg/kmol.)  
One kg of water in a piston-cylinder assembly, initially at 1.5 bar and 200 C, cools...
One kg of water in a piston-cylinder assembly, initially at 1.5 bar and 200 C, cools at constant pressure with no internal irreversibilities to a final state where the water is a saturated liquid. For the water as the system, determine the work, the heat transfer, and the amounts of exergy transfer accompanying work and heat transfer, each in kJ. Let T0 = 20 °C, p0=1 bar and ignore the effects of motion and gravity. THERE ARE SOME DIFFERENT ANSWERS...
Five kg of water is contained in a piston–cylinder assembly, initially at 5 bar and 500°C....
Five kg of water is contained in a piston–cylinder assembly, initially at 5 bar and 500°C. The water is slowly heated at constant pressure to a final state. The heat transfer for the process is 2660 kJ and kinetic and potential energy effects are negligible. Determine the final volume, in m3, and the work for the process, in kJ. There is no final temperature information given.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT