Question

4. A mass of 5 kg undergoes a process during which there is heat transfer from the mass at a rate of 6 kJ per kg, an elevation decrease of 34 m, and an increase in velocity from 13 m/s to 34 m/s. The specific internal energy decreases by 6 kJ/kg and the acceleration of gravity is constant at 9.7 m/s2. Determine the work for the process, in kJ.

5. A gas is compressed in a piston–cylinder assembly from p₁ = 2 bar to p₂ = 7.2 bar, V₂ = 0.04 m³ in a process during which the relation between pressure and volume is pV^1.2 = constant . The mass of the gas is 0.5 kg. If the specific internal energy of the gas increases by 54 kJ/kg during the process, determine the heat transfer, in kJ. Kinetic and potential energy changes are negligible.

3. Nitrogen (N₂) gas within a piston–cylinder assembly undergoes a compression from p₁ = 0.1 MPa, V₁ = 2.43 m³ to a state where p₂ = 3 MPa. The relationship between pressure and volume during the process is pV^1.32 = constant. For the N₂, determine the work, in kJ.

Answer 1

As per Chegg Guideline i can only answer one question from the above list anf that is as per below.

Here m=5kg

Heat Transfer

V1= 13 m/s

V2= 34 m/s

Here change in potential energy is

Change in Kinetic Energy

Now as per the First law of thermodynamics

Here negative sign shows that work is done on the system.