Question

Air enters an adiabatic diffuser at 100 kPa, 27°C, and a velocity of 400 m/s. The air exits at 200 kPa and 97°C.

a) Calculate the change in temperature.
b) Determine the change in pressure.
c) Calculate the change in velocity.
d) All of the above

Answer 1

The correct answer is d) All of the above as all three changes are calculated using the given information. The change in temperature is 70°C, the change in pressure is 100 kPa, and the change in velocity is -400 m/s.

Step-by-step explanation:

The change in temperature can be calculated using the equation:

ΔT = T₂ - T₁

Where T₂ is the final temperature (97°C) and T₁ is the initial temperature (27°C).

Therefore, the change in temperature is:

ΔT = 97°C - 27°C = 70°C

The change in pressure can be calculated using the equation:

ΔP = P₂ - P₁

Where P₂ is the final pressure (200 kPa) and P₁ is the initial pressure (100 kPa).

Therefore, the change in pressure is:

ΔP = 200 kPa - 100 kPa = 100 kPa

The change in velocity can be calculated using the equation:

Δv = v₂ - v₁

Where v₂ is the final velocity (0 m/s) and v₁ is the initial velocity (400 m/s).

Therefore, the change in velocity is:

Δv = 0 m/s - 400 m/s = -400 m/s