A mass of 5 kilograms of air in a piston-cylinder assembly undergoes two processes in series from an initial state where p1 = 4 MPa, T1 = 264°C: Process 1–2: Constant-temperature expansion until the volume is twice the initial volume. Process 2–3: Constant-volume heating until the pressure is again 4 MPa. Sketch the two processes in series on a p-v diagram. Assuming ideal gas behavior, determine (a) the pressure at state 2, in MPa, (b) the temperature at state 3, in oC, and for each of the processes (c) the work and heat transfer, each in kJ.

a)

b)

c)

Explanation:

Given that:

P₁ = 4 MPa

T₁ = 264°C

mass (m) = 5kg

R = 0.287 kJ/kg.K

a) To calculate the pressure at state 2 , we use ideal gas equation and since final volume is twice the initial volume,

Therefore:

b) To calculate the temperature at state 3 , we use ideal gas equation and since   and

Therefore:

c) To calculate work (), we use the isothermal equation

Therefore:

Since no volume change between process 2 and 3, work done ()

Between process 1 and 2, no temperature change,

Therefore:

To calculate the heat transfer between process 2 and 3, we use the

the equation above shows how temperature f, measured in degrees fahrenheit, relates to a temperature c, measured in degrees celsius. based on the equation, which of the following must be true?

a temperature increase of 1 degree fahrenheit is equivalent to a temperature increase of

5

9

degree celsius.

a temperature increase of 1 degree celsius is equivalent to a temperature increase of 1.8 degrees fahrenheit.

a temperature increase of

5

9

degree fahrenheit is equivalent to a temperature increase of 1 degree celsius.

a) i only

b) ii only

c) iii only

d) i and ii only

answer:

yes that is right have a good day