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Common Data for Questions 48 and 49:
In an experimental set-up, air flows between two stations P and Q adiabatically. The direction of flow depends on pressure and temperature conditions at P and Q. The conditions at station P are 150 kPa and 350 K. The temperature at station Q is 300 K.
The following are the properties and relations pertaining to air:
Specific heat at constant pressure, cₚ = 1.005 kJ/kgK;
Specific heat at constant volume, c_v = 0.718 kJ/kgK;
Characteristic gas constant, R = 0.287 kJ/kgK.
Enthalpy, h = cₚ T.
Internal energy, u = c_v T.
Q.48 If the air has to flow from station P to station Q, the maximum possible value of pressure in kPa at station Q is close to
- 50
- 87
- 128
- 150
Correct answer: 87
Solution
The maximum possible pressure at station Q can be determined using the adiabatic process equations, which relate temperature and pressure. Given the temperature drop from P to Q, the pressure at Q must be lower than at P, and calculations show that the maximum achievable pressure at Q, considering the temperature conditions, is approximately 87 kPa.
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