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Saturated liquid at a high pressure P1 having enthalpy of saturated liquid 1000 kJ/kg is throttled to a lower pressure P2. At pressure p2 enthalpy of saturated liquid and that of the saturated vapour are 800 and 2800 kJ/kg respectively. The dryness fraction of vapour after throttling process is:
  • a)
    0.1
  • b)
    0.5
  • c)
    18/28
  • d)
    0.8
Correct answer is option 'A'. Can you explain this answer?
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Given:
- Pressure at P1 = high pressure
- Enthalpy of saturated liquid at P1 = 1000 kJ/kg
- Pressure at P2 = lower pressure
- Enthalpy of saturated liquid at P2 = 800 kJ/kg
- Enthalpy of saturated vapor at P2 = 2800 kJ/kg

To find:
Dryness fraction of vapor after throttling process

Solution:
Step 1: Identify the process
The given problem describes a throttling process, where the saturated liquid at high pressure is adiabatically expanded to a lower pressure. This process is also known as a Joule-Thomson expansion or throttling valve.

Step 2: Understand the properties
In a throttling process, the enthalpy remains constant. Therefore, the enthalpy of the saturated liquid after throttling (h2) will be the same as the enthalpy of the saturated liquid at P1 (h1).

Step 3: Calculate the dryness fraction
Dryness fraction (x) can be calculated using the following equation:
x = (h2 - hf) / (hfg)

Where:
- x = dryness fraction
- h2 = enthalpy of saturated liquid after throttling
- hf = enthalpy of saturated liquid at P2
- hfg = enthalpy of vaporization (difference between enthalpies of saturated vapor and liquid at P2)

Given values:
h1 = 1000 kJ/kg
h2 = h1 = 1000 kJ/kg
hf = 800 kJ/kg
hfg = hfg = hfg = hfg = 2800 - 800 = 2000 kJ/kg

Substituting the values into the equation:
x = (1000 - 800) / 2000 = 0.1

Step 4: Final answer
The dryness fraction of the vapor after the throttling process is 0.1, which corresponds to option A.
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Saturated liquid at a high pressure P1 having enthalpy of saturated liquid 1000 kJ/kg is throttled to a lower pressure P2. At pressure p2 enthalpy of saturated liquid and that of the saturated vapour are 800 and 2800 kJ/kg respectively. The dryness fraction of vapour after throttling process is:a)0.1b)0.5c)18/28d)0.8Correct answer is option 'A'. Can you explain this answer?
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