Entropy Change at Constant Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Entropy Change Constant Volume = Heat Capacity Constant Volume*ln(Temperature of Surface 2/Temperature of Surface 1)+[R]*ln(Specific Volume at Point 2/Specific Volume at Point 1)
δsvol = Cv*ln(T2/T1)+[R]*ln(ν2/ν1)
This formula uses 1 Constants, 1 Functions, 6 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Entropy Change Constant Volume - (Measured in Joule per Kilogram K) - Entropy change constant volume is the measure of a system’s thermal energy per unit temperature that is unavailable for doing useful work.
Heat Capacity Constant Volume - (Measured in Joule per Kilogram per K) - Heat capacity constant volume is the amount of heat energy absorbed/released per unit mass of a substance where the volume does not change.
Temperature of Surface 2 - (Measured in Kelvin) - Temperature of Surface 2 is the temperature of the 2nd surface.
Temperature of Surface 1 - (Measured in Kelvin) - Temperature of Surface 1 is the temperature of the 1st surface.
Specific Volume at Point 2 - (Measured in Cubic Meter per Kilogram) - Specific Volume at Point 2 is the number of cubic meters occupied by one kilogram of matter. It is the ratio of a material's volume to its mass.
Specific Volume at Point 1 - (Measured in Cubic Meter per Kilogram) - Specific Volume at Point 1 is the number of cubic meters occupied by one kilogram of matter. It is the ratio of a material's volume to its mass.
STEP 1: Convert Input(s) to Base Unit
Heat Capacity Constant Volume: 718 Joule per Kilogram per K --> 718 Joule per Kilogram per K No Conversion Required
Temperature of Surface 2: 151 Kelvin --> 151 Kelvin No Conversion Required
Temperature of Surface 1: 101 Kelvin --> 101 Kelvin No Conversion Required
Specific Volume at Point 2: 0.816 Cubic Meter per Kilogram --> 0.816 Cubic Meter per Kilogram No Conversion Required
Specific Volume at Point 1: 0.001 Cubic Meter per Kilogram --> 0.001 Cubic Meter per Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
δsvol = Cv*ln(T2/T1)+[R]*ln(ν21) --> 718*ln(151/101)+[R]*ln(0.816/0.001)
Evaluating ... ...
δsvol = 344.49399427205
STEP 3: Convert Result to Output's Unit
344.49399427205 Joule per Kilogram K --> No Conversion Required
FINAL ANSWER
344.49399427205 344.494 Joule per Kilogram K <-- Entropy Change Constant Volume
(Calculation completed in 00.004 seconds)

Credits

Created by Suman Ray Pramanik
Indian Institute of Technology (IIT), Kanpur
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10+ Entropy Generation Calculators

Entropy Change at Constant Volume
Go Entropy Change Constant Volume = Heat Capacity Constant Volume*ln(Temperature of Surface 2/Temperature of Surface 1)+[R]*ln(Specific Volume at Point 2/Specific Volume at Point 1)
Entropy Change at Constant Pressure
Go Entropy Change Constant Pressure = Heat Capacity Constant Pressure*ln(Temperature of Surface 2/Temperature of Surface 1)-[R]*ln(Pressure 2/Pressure 1)
Irreversibility
Go Irreversibility = (Temperature*(Entropy at point 2-Entropy at point 1)-Heat input/Input Temperature+Heat output/Output Temperature)
Entropy Change Variable Specific Heat
Go Entropy Change Variable Specific Heat = Standard molar entropy at point 2-Standard molar entropy at point 1-[R]*ln(Pressure 2/Pressure 1)
Entropy Balance Equation
Go Entropy Change Variable Specific Heat = Entropy of System-Entropy of Surrounding+Total Entropy Generation
Temperature using Helmholtz Free Energy
Go Temperature = (Internal Energy-Helmholtz Free Energy)/Entropy
Entropy using Helmholtz Free Energy
Go Entropy = (Internal Energy-Helmholtz Free Energy)/Temperature
Internal Energy using Helmholtz Free Energy
Go Internal Energy = Helmholtz Free Energy+Temperature*Entropy
Helmholtz Free Energy
Go Helmholtz Free Energy = Internal Energy-Temperature*Entropy
Specific Entropy
Go Specific Entropy = Entropy/Mass

Entropy Change at Constant Volume Formula

Entropy Change Constant Volume = Heat Capacity Constant Volume*ln(Temperature of Surface 2/Temperature of Surface 1)+[R]*ln(Specific Volume at Point 2/Specific Volume at Point 1)
δsvol = Cv*ln(T2/T1)+[R]*ln(ν2/ν1)

What is Entropy change at constant volume?

Entropy change constant volume is the measure of a system’s thermal energy per unit temperature that is unavailable for doing useful work. It is a state function and hence depends on the path taken by the system. Entropy is a measure of randomness.

How to Calculate Entropy Change at Constant Volume?

Entropy Change at Constant Volume calculator uses Entropy Change Constant Volume = Heat Capacity Constant Volume*ln(Temperature of Surface 2/Temperature of Surface 1)+[R]*ln(Specific Volume at Point 2/Specific Volume at Point 1) to calculate the Entropy Change Constant Volume, Entropy change at constant volume is the measure of a system’s thermal energy per unit temperature that is unavailable for doing useful work. Entropy Change Constant Volume is denoted by δsvol symbol.

How to calculate Entropy Change at Constant Volume using this online calculator? To use this online calculator for Entropy Change at Constant Volume, enter Heat Capacity Constant Volume (Cv), Temperature of Surface 2 (T2), Temperature of Surface 1 (T1), Specific Volume at Point 2 2) & Specific Volume at Point 1 1) and hit the calculate button. Here is how the Entropy Change at Constant Volume calculation can be explained with given input values -> 344.494 = 718*ln(151/101)+[R]*ln(0.816/0.001).

FAQ

What is Entropy Change at Constant Volume?
Entropy change at constant volume is the measure of a system’s thermal energy per unit temperature that is unavailable for doing useful work and is represented as δsvol = Cv*ln(T2/T1)+[R]*ln(ν21) or Entropy Change Constant Volume = Heat Capacity Constant Volume*ln(Temperature of Surface 2/Temperature of Surface 1)+[R]*ln(Specific Volume at Point 2/Specific Volume at Point 1). Heat capacity constant volume is the amount of heat energy absorbed/released per unit mass of a substance where the volume does not change, Temperature of Surface 2 is the temperature of the 2nd surface, Temperature of Surface 1 is the temperature of the 1st surface, Specific Volume at Point 2 is the number of cubic meters occupied by one kilogram of matter. It is the ratio of a material's volume to its mass & Specific Volume at Point 1 is the number of cubic meters occupied by one kilogram of matter. It is the ratio of a material's volume to its mass.
How to calculate Entropy Change at Constant Volume?
Entropy change at constant volume is the measure of a system’s thermal energy per unit temperature that is unavailable for doing useful work is calculated using Entropy Change Constant Volume = Heat Capacity Constant Volume*ln(Temperature of Surface 2/Temperature of Surface 1)+[R]*ln(Specific Volume at Point 2/Specific Volume at Point 1). To calculate Entropy Change at Constant Volume, you need Heat Capacity Constant Volume (Cv), Temperature of Surface 2 (T2), Temperature of Surface 1 (T1), Specific Volume at Point 2 2) & Specific Volume at Point 1 1). With our tool, you need to enter the respective value for Heat Capacity Constant Volume, Temperature of Surface 2, Temperature of Surface 1, Specific Volume at Point 2 & Specific Volume at Point 1 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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