Entropy at point 2 Solution

STEP 0: Pre-Calculation Summary
Formula Used
Entropy at point 2 = Liquid entropy at point 2+((Dryness Fraction at point 2*Latent Heat of Fusion)/Temperature at Discharge of Compressor)
s2 = sf2+((x2*hfg)/T2)
This formula uses 5 Variables
Variables Used
Entropy at point 2 - (Measured in Joule per Kilogram K) - Entropy at point 2 is a measure of the molecular disorder, or randomness, of the refrigerant at point 2.
Liquid entropy at point 2 - (Measured in Joule per Kilogram K) - Liquid entropy at point 2 is the entropy of refrigerant on the saturated vapor line.
Dryness Fraction at point 2 - Dryness Fraction at point 2 is used to quantify the amount of water within the steam at point 2.
Latent Heat of Fusion - (Measured in Joule per Kilogram) - Latent Heat of Fusion is the amount of heat required to convert one unit amount of substance from the solid phase to the liquid phase — leaving the temperature of the system unaltered.
Temperature at Discharge of Compressor - (Measured in Kelvin) - Temperature at discharge of compressor is same as inlet temperature of condenser.
STEP 1: Convert Input(s) to Base Unit
Liquid entropy at point 2: 7 Kilojoule per Kilogram K --> 7000 Joule per Kilogram K (Check conversion here)
Dryness Fraction at point 2: 0.2 --> No Conversion Required
Latent Heat of Fusion: 1000 Kilojoule per Kilogram --> 1000000 Joule per Kilogram (Check conversion here)
Temperature at Discharge of Compressor: 450 Kelvin --> 450 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s2 = sf2+((x2*hfg)/T2) --> 7000+((0.2*1000000)/450)
Evaluating ... ...
s2 = 7444.44444444444
STEP 3: Convert Result to Output's Unit
7444.44444444444 Joule per Kilogram K -->7.44444444444444 Kilojoule per Kilogram K (Check conversion here)
FINAL ANSWER
7.44444444444444 7.444444 Kilojoule per Kilogram K <-- Entropy at point 2
(Calculation completed in 00.004 seconds)

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Created by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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9 Theoretical Vapour compression cycle with Dry Saturated vapour after compression Calculators

Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3)
Go Theoretical Coefficient of Performance = (Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3)/(Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1)
Entropy at point 1
Go Entropy at Point 1 = Liquid Entropy at Point 1+((Dryness Fraction at point 1*Latent Heat of Fusion)/Temperature at the suction of compressor)
Entropy at point 2
Go Entropy at point 2 = Liquid entropy at point 2+((Dryness Fraction at point 2*Latent Heat of Fusion)/Temperature at Discharge of Compressor)
Enthalpy at Point 4 given Liquid Enthalpy at Point 4
Go Enthalpy of the vapour refrigerant at T4 = Liquid Enthalpy at Point 4+(Dryness Fraction at point 4*Latent Heat of Fusion)
Enthalpy at point 2
Go Enthalpy of the vapour refrigerant at T2 = Liquid Enthalpy at Point 2+(Dryness Fraction at point 2*Latent Heat of Fusion)
Enthalpy at point 1 given Liquid enthalpy at point 1
Go Enthalpy of the Vapour Refrigerant at T1 = Liquid Enthalpy at Point 1+Dryness Fraction at point 1*Latent Heat of Fusion
Refrigerating Effect(for given h1 and h4)
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Enthalpy of the vapour refrigerant at T4
Refrigerating Effect given Enthalpy at Inlet of Compressor and Exit of Condenser
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3
Work done during isentropic compression(per Kg of refrigerant)
Go Work Done = Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1

8 Theoretical Vapour compression cycle with Wet vapour after compression Calculators

Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3)
Go Theoretical Coefficient of Performance = (Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3)/(Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1)
Entropy at point 1
Go Entropy at Point 1 = Liquid Entropy at Point 1+((Dryness Fraction at point 1*Latent Heat of Fusion)/Temperature at the suction of compressor)
Entropy at point 2
Go Entropy at point 2 = Liquid entropy at point 2+((Dryness Fraction at point 2*Latent Heat of Fusion)/Temperature at Discharge of Compressor)
Enthalpy at Point 4 given Liquid Enthalpy at Point 4
Go Enthalpy of the vapour refrigerant at T4 = Liquid Enthalpy at Point 4+(Dryness Fraction at point 4*Latent Heat of Fusion)
Enthalpy at point 2
Go Enthalpy of the vapour refrigerant at T2 = Liquid Enthalpy at Point 2+(Dryness Fraction at point 2*Latent Heat of Fusion)
Enthalpy at point 1 given Liquid enthalpy at point 1
Go Enthalpy of the Vapour Refrigerant at T1 = Liquid Enthalpy at Point 1+Dryness Fraction at point 1*Latent Heat of Fusion
Refrigerating Effect(for given h1 and h4)
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Enthalpy of the vapour refrigerant at T4
Refrigerating Effect given Enthalpy at Inlet of Compressor and Exit of Condenser
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3

8 Theoretical Vapour compression cycle with Superheated vapour after compression Calculators

Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3)
Go Theoretical Coefficient of Performance = (Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3)/(Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1)
Entropy at point 1
Go Entropy at Point 1 = Liquid Entropy at Point 1+((Dryness Fraction at point 1*Latent Heat of Fusion)/Temperature at the suction of compressor)
Entropy at point 2
Go Entropy at point 2 = Liquid entropy at point 2+((Dryness Fraction at point 2*Latent Heat of Fusion)/Temperature at Discharge of Compressor)
Enthalpy at Point 4 given Liquid Enthalpy at Point 4
Go Enthalpy of the vapour refrigerant at T4 = Liquid Enthalpy at Point 4+(Dryness Fraction at point 4*Latent Heat of Fusion)
Enthalpy at point 2
Go Enthalpy of the vapour refrigerant at T2 = Liquid Enthalpy at Point 2+(Dryness Fraction at point 2*Latent Heat of Fusion)
Enthalpy at point 1 given Liquid enthalpy at point 1
Go Enthalpy of the Vapour Refrigerant at T1 = Liquid Enthalpy at Point 1+Dryness Fraction at point 1*Latent Heat of Fusion
Refrigerating Effect(for given h1 and h4)
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Enthalpy of the vapour refrigerant at T4
Refrigerating Effect given Enthalpy at Inlet of Compressor and Exit of Condenser
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3

8 Theoretical Vapour compression cycle with Superheated vapour before compression Calculators

Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3)
Go Theoretical Coefficient of Performance = (Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3)/(Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1)
Entropy at point 1
Go Entropy at Point 1 = Liquid Entropy at Point 1+((Dryness Fraction at point 1*Latent Heat of Fusion)/Temperature at the suction of compressor)
Entropy at point 2
Go Entropy at point 2 = Liquid entropy at point 2+((Dryness Fraction at point 2*Latent Heat of Fusion)/Temperature at Discharge of Compressor)
Enthalpy at Point 4 given Liquid Enthalpy at Point 4
Go Enthalpy of the vapour refrigerant at T4 = Liquid Enthalpy at Point 4+(Dryness Fraction at point 4*Latent Heat of Fusion)
Enthalpy at point 2
Go Enthalpy of the vapour refrigerant at T2 = Liquid Enthalpy at Point 2+(Dryness Fraction at point 2*Latent Heat of Fusion)
Enthalpy at point 1 given Liquid enthalpy at point 1
Go Enthalpy of the Vapour Refrigerant at T1 = Liquid Enthalpy at Point 1+Dryness Fraction at point 1*Latent Heat of Fusion
Refrigerating Effect(for given h1 and h4)
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Enthalpy of the vapour refrigerant at T4
Refrigerating Effect given Enthalpy at Inlet of Compressor and Exit of Condenser
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3

8 Theoretical Vapour compression cycle with Under-cooling or sub-cooling if refrigerant Calculators

Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3)
Go Theoretical Coefficient of Performance = (Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3)/(Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1)
Entropy at point 1
Go Entropy at Point 1 = Liquid Entropy at Point 1+((Dryness Fraction at point 1*Latent Heat of Fusion)/Temperature at the suction of compressor)
Entropy at point 2
Go Entropy at point 2 = Liquid entropy at point 2+((Dryness Fraction at point 2*Latent Heat of Fusion)/Temperature at Discharge of Compressor)
Enthalpy at Point 4 given Liquid Enthalpy at Point 4
Go Enthalpy of the vapour refrigerant at T4 = Liquid Enthalpy at Point 4+(Dryness Fraction at point 4*Latent Heat of Fusion)
Enthalpy at point 2
Go Enthalpy of the vapour refrigerant at T2 = Liquid Enthalpy at Point 2+(Dryness Fraction at point 2*Latent Heat of Fusion)
Enthalpy at point 1 given Liquid enthalpy at point 1
Go Enthalpy of the Vapour Refrigerant at T1 = Liquid Enthalpy at Point 1+Dryness Fraction at point 1*Latent Heat of Fusion
Refrigerating Effect(for given h1 and h4)
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Enthalpy of the vapour refrigerant at T4
Refrigerating Effect given Enthalpy at Inlet of Compressor and Exit of Condenser
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3

Entropy at point 2 Formula

Entropy at point 2 = Liquid entropy at point 2+((Dryness Fraction at point 2*Latent Heat of Fusion)/Temperature at Discharge of Compressor)
s2 = sf2+((x2*hfg)/T2)

What is Entropy?

The amount of entropy is also a measure of the molecular disorder, or randomness, of a system. In refrigeration, Entropy measures the energy dispersion in a system divided by temperature. This ratio represents the tendency of energy to spread out, to diffuse, to become less concentrated in one physical location or one energetic state.

How to Calculate Entropy at point 2?

Entropy at point 2 calculator uses Entropy at point 2 = Liquid entropy at point 2+((Dryness Fraction at point 2*Latent Heat of Fusion)/Temperature at Discharge of Compressor) to calculate the Entropy at point 2, The Entropy at point 2 formula is defined as sum of liquid entropy at point 2 and the latent heat of fusion at point 2 to the temperature at the suction of compressor. Entropy at point 2 is denoted by s2 symbol.

How to calculate Entropy at point 2 using this online calculator? To use this online calculator for Entropy at point 2, enter Liquid entropy at point 2 (sf2), Dryness Fraction at point 2 (x2), Latent Heat of Fusion (hfg) & Temperature at Discharge of Compressor (T2) and hit the calculate button. Here is how the Entropy at point 2 calculation can be explained with given input values -> 0.007444 = 7000+((0.2*1000000)/450).

FAQ

What is Entropy at point 2?
The Entropy at point 2 formula is defined as sum of liquid entropy at point 2 and the latent heat of fusion at point 2 to the temperature at the suction of compressor and is represented as s2 = sf2+((x2*hfg)/T2) or Entropy at point 2 = Liquid entropy at point 2+((Dryness Fraction at point 2*Latent Heat of Fusion)/Temperature at Discharge of Compressor). Liquid entropy at point 2 is the entropy of refrigerant on the saturated vapor line, Dryness Fraction at point 2 is used to quantify the amount of water within the steam at point 2, Latent Heat of Fusion is the amount of heat required to convert one unit amount of substance from the solid phase to the liquid phase — leaving the temperature of the system unaltered & Temperature at discharge of compressor is same as inlet temperature of condenser.
How to calculate Entropy at point 2?
The Entropy at point 2 formula is defined as sum of liquid entropy at point 2 and the latent heat of fusion at point 2 to the temperature at the suction of compressor is calculated using Entropy at point 2 = Liquid entropy at point 2+((Dryness Fraction at point 2*Latent Heat of Fusion)/Temperature at Discharge of Compressor). To calculate Entropy at point 2, you need Liquid entropy at point 2 (sf2), Dryness Fraction at point 2 (x2), Latent Heat of Fusion (hfg) & Temperature at Discharge of Compressor (T2). With our tool, you need to enter the respective value for Liquid entropy at point 2, Dryness Fraction at point 2, Latent Heat of Fusion & Temperature at Discharge of Compressor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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