Question

In: Mechanical Engineering

Two kilograms of air is stored in a rigid volume of 2 m3 with the temperature...

Two kilograms of air is stored in a rigid volume of 2 m3 with the temperature initially at 300°C. Heat is transferred from the air until the pressure reaches 120 kPa. Calculate the entropy change of (a) the air and (b) the universe if the surroundings are at 27°C.

Solutions

Expert Solution

First, the entropy change of system is calculated then the entropy change of surroundings is calculated using heat transfer from the system. This is used to calculate the change in entropy of the Universe.

(a) Entropy change of air " (Sair) = -0.2263 kJ/kg.K or -0.4526 kJ/K ".

(b) Entropy change of universe " (Suniverse) = 0.2884 kJ/K ".


Related Solutions

A volume of 8.62 m3 of air in a rigid, insulated container fitted with a paddle...
A volume of 8.62 m3 of air in a rigid, insulated container fitted with a paddle wheel is initially at 322 K, 0.4 bar. The air receives 481 kJ by work from the paddle wheel. Assuming the ideal gas model with cv = 0.71 kJ/kg • K, determine for the air the amount of entropy produced, in kJ/K.
A rigid tank of volume 0.63 m3 initially has some air inside at 0.5 bar and...
A rigid tank of volume 0.63 m3 initially has some air inside at 0.5 bar and 300 K. A hole develops in the wall, and air from the surroundings at 1 bar, 300 K flows in until the pressure in the tank reaches 1 bar. Heat transfer between the contents of the tank and the surroundings is negligible. Determine the final temperature in the tank, in K. What is the entropy generation of the process? (Please treat the air as...
A rigid tank of volume 0.63 m3 initially has some air inside at 0.5 bar and...
A rigid tank of volume 0.63 m3 initially has some air inside at 0.5 bar and 300 K. A hole develops in the wall, and air from the surroundings at 1 bar, 300 K flows in until the pressure in the tank reaches 1 bar. Heat transfer between the contents of the tank and the surroundings is negligible. Determine the final temperature in the tank, in K. What is the entropy generation of the process? (Please treat the air as...
A rigid tank of volume 0.63 m3 initially has some air inside at 0.5 bar and...
A rigid tank of volume 0.63 m3 initially has some air inside at 0.5 bar and 300 K. A hole develops in the wall, and air from the surroundings at 1 bar, 300 K flows in until the pressure in the tank reaches 1 bar. Heat transfer between the contents of the tank and the surroundings is negligible. The final temperature is 350 K. Use the transient state entropy balcance to find the entropy generation of the process
An insulated rigid tank having a 0.2 m3 volume initially contains air at 400 kPa and...
An insulated rigid tank having a 0.2 m3 volume initially contains air at 400 kPa and 313 K. The amount of paddle-wheel work done on the system is 200 kJ. Calculate the nearest value of entropy change a. 0.66 kJ/K b. 0.88 kJ/K c. None d. 0.44 kJ/K e. 0.33 kJ/K
Five kilograms of water is contained in a rigid, 3 m3 vessel at P = 1...
Five kilograms of water is contained in a rigid, 3 m3 vessel at P = 1 bar. A. What is the temperature and physical state (liquid, vapor, or both liquid and vapor) of the water? B. What is the specific internal energy of the water in the vessel?
An insulated, rigid tank whose volume is 0.5 m3 is connected by a valve to a...
An insulated, rigid tank whose volume is 0.5 m3 is connected by a valve to a large vessel holding steam at 40 bar, 480°C. The tank is initially evacuated. The valve is opened only as long as required to fill the tank with steam to a pressure of 20 bar. Determine: (a) the final temperature of the steam in the tank, in °C, the final mass of the steam in the tank, in kg, and (b) the amount of entropy...
A rigid tank of volume 0.75 m3 is initially evacuated. A hole develops in the wall,...
A rigid tank of volume 0.75 m3 is initially evacuated. A hole develops in the wall, and air from the surroundings at 1 bar, 30°C flows in until the pressure in the tank reaches 1 bar. Heat transfer between the contents of the tank and the surroundings is negligible. Determine the final temperature in the tank, in °C.
A rigid reservoir with 3 m3 volume is connected to a supply line. Initially the valve...
A rigid reservoir with 3 m3 volume is connected to a supply line. Initially the valve is closed and the reservoir contains steam at 800 kPa, and x = 0.8 quality. The valve is opened and steam is allowed until the final pressure is 2.5 MPa and 250 oC. a- Determine the mass of steam entered to the reservoir. b- If the pressure is 3.5 MPa and temperature is 350oC at the supply line, evaluate the transferred heat in kJ,...
A rigid reservoir with 3 m3 volume is connected to a supply line. Initially the valve...
A rigid reservoir with 3 m3 volume is connected to a supply line. Initially the valve is closed and the reservoir contains steam at 800 kPa, and x = 0.8 quality. The valve is opened and steam is allowed until the final pressure is 2.5 MPa and 250 C. a- Determine the mass of steam entered to the reservoir. b- If the pressure is 3.5 MPa and temperature is 350 C at the supply line, evaluate the transferred heat in...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT