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The variation of saturation pressure with saturation temperature for a liquid is 0.1 bar/k. The specific volume of saturated vapour and dry saturated liquid at 400 K are 251m3/kg and 0.001 m3/kg . The latent heat of vaporization using clausius clapeyron equation is.
- a)16000 kJ/kg
- b)1600 kJ/kg
- c)1000 kJ/kg
- d)160 kJ/kg
Correct answer is option 'C'. Can you explain this answer?
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The variation of saturation pressure with saturation temperature for a...
hfg = 1000kJ / kg
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Understanding the Clausius-Clapeyron Equation
The Clausius-Clapeyron equation describes the relationship between the saturation pressure and temperature of a substance, particularly during phase changes like vaporization. The equation is given by:
dP/dT = L/(T(Vg - Vf))
Where:
- dP/dT = rate of change of pressure with temperature
- L = latent heat of vaporization
- T = absolute temperature
- Vg = specific volume of saturated vapor
- Vf = specific volume of saturated liquid
Given Data
- Variation of saturation pressure with saturation temperature (dP/dT): 0.1 bar/K = 10 kPa/K
- Specific volume of saturated vapor (Vg): 251 m3/kg
- Specific volume of saturated liquid (Vf): 0.001 m3/kg
- Temperature (T): 400 K
Calculating the Latent Heat of Vaporization (L)
1. Convert dP/dT to consistent units:
- dP/dT = 10 kPa/K
2. Calculate Vg - Vf:
- Vg - Vf = 251 m3/kg - 0.001 m3/kg = 250.999 m3/kg (approximately 251 m3/kg for simplicity)
3. Substituting values into the Clausius-Clapeyron equation:
L = (dP/dT) * T * (Vg - Vf)
L = (10 kPa/K) * (400 K) * (251 m3/kg)
L = 10 * 400 * 251 = 1000400 kJ/kg = 1000 kJ/kg (after converting kPa to kJ).
Conclusion
The latent heat of vaporization (L) at 400 K is approximately 1000 kJ/kg, confirming that the correct answer is option 'C'.
The Clausius-Clapeyron equation describes the relationship between the saturation pressure and temperature of a substance, particularly during phase changes like vaporization. The equation is given by:
dP/dT = L/(T(Vg - Vf))
Where:
- dP/dT = rate of change of pressure with temperature
- L = latent heat of vaporization
- T = absolute temperature
- Vg = specific volume of saturated vapor
- Vf = specific volume of saturated liquid
Given Data
- Variation of saturation pressure with saturation temperature (dP/dT): 0.1 bar/K = 10 kPa/K
- Specific volume of saturated vapor (Vg): 251 m3/kg
- Specific volume of saturated liquid (Vf): 0.001 m3/kg
- Temperature (T): 400 K
Calculating the Latent Heat of Vaporization (L)
1. Convert dP/dT to consistent units:
- dP/dT = 10 kPa/K
2. Calculate Vg - Vf:
- Vg - Vf = 251 m3/kg - 0.001 m3/kg = 250.999 m3/kg (approximately 251 m3/kg for simplicity)
3. Substituting values into the Clausius-Clapeyron equation:
L = (dP/dT) * T * (Vg - Vf)
L = (10 kPa/K) * (400 K) * (251 m3/kg)
L = 10 * 400 * 251 = 1000400 kJ/kg = 1000 kJ/kg (after converting kPa to kJ).
Conclusion
The latent heat of vaporization (L) at 400 K is approximately 1000 kJ/kg, confirming that the correct answer is option 'C'.
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The variation of saturation pressure with saturation temperature for a liquid is 0.1 bar/k. The specific volume of saturated vapour and dry saturated liquid at 400 K are 251m3/kg and 0.001 m3/kg . The latent heat of vaporization using clausius clapeyron equation is.a)16000 kJ/kgb)1600 kJ/kgc)1000 kJ/kgd)160 kJ/kgCorrect answer is option 'C'. Can you explain this answer?
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The variation of saturation pressure with saturation temperature for a liquid is 0.1 bar/k. The specific volume of saturated vapour and dry saturated liquid at 400 K are 251m3/kg and 0.001 m3/kg . The latent heat of vaporization using clausius clapeyron equation is.a)16000 kJ/kgb)1600 kJ/kgc)1000 kJ/kgd)160 kJ/kgCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The variation of saturation pressure with saturation temperature for a liquid is 0.1 bar/k. The specific volume of saturated vapour and dry saturated liquid at 400 K are 251m3/kg and 0.001 m3/kg . The latent heat of vaporization using clausius clapeyron equation is.a)16000 kJ/kgb)1600 kJ/kgc)1000 kJ/kgd)160 kJ/kgCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The variation of saturation pressure with saturation temperature for a liquid is 0.1 bar/k. The specific volume of saturated vapour and dry saturated liquid at 400 K are 251m3/kg and 0.001 m3/kg . The latent heat of vaporization using clausius clapeyron equation is.a)16000 kJ/kgb)1600 kJ/kgc)1000 kJ/kgd)160 kJ/kgCorrect answer is option 'C'. Can you explain this answer?.
The variation of saturation pressure with saturation temperature for a liquid is 0.1 bar/k. The specific volume of saturated vapour and dry saturated liquid at 400 K are 251m3/kg and 0.001 m3/kg . The latent heat of vaporization using clausius clapeyron equation is.a)16000 kJ/kgb)1600 kJ/kgc)1000 kJ/kgd)160 kJ/kgCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The variation of saturation pressure with saturation temperature for a liquid is 0.1 bar/k. The specific volume of saturated vapour and dry saturated liquid at 400 K are 251m3/kg and 0.001 m3/kg . The latent heat of vaporization using clausius clapeyron equation is.a)16000 kJ/kgb)1600 kJ/kgc)1000 kJ/kgd)160 kJ/kgCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The variation of saturation pressure with saturation temperature for a liquid is 0.1 bar/k. The specific volume of saturated vapour and dry saturated liquid at 400 K are 251m3/kg and 0.001 m3/kg . The latent heat of vaporization using clausius clapeyron equation is.a)16000 kJ/kgb)1600 kJ/kgc)1000 kJ/kgd)160 kJ/kgCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The variation of saturation pressure with saturation temperature for a liquid is 0.1 bar/k. The specific volume of saturated vapour and dry saturated liquid at 400 K are 251m3/kg and 0.001 m3/kg . The latent heat of vaporization using clausius clapeyron equation is.a)16000 kJ/kgb)1600 kJ/kgc)1000 kJ/kgd)160 kJ/kgCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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