Volume Expansivity for Pumps using Entropy Calculator

✖Specific Heat Capacity at Constant Pressure per K is the amount of heat that is required to raise the temperature of a unit mass of substance by 1 degree at constant pressure.ⓘ Specific Heat Capacity at Constant Pressure per K [C_pk]			+10% -10%
✖Temperature of Surface 2 is the temperature of the 2nd surface.ⓘ Temperature of Surface 2 [T₂]			+10% -10%
✖Temperature of Surface 1 is the temperature of the 1st surface.ⓘ Temperature of Surface 1 [T₁]			+10% -10%
✖Change in entropy is the thermodynamic quantity equivalent to the total difference between the entropy of a system.ⓘ Change in Entropy [ΔS]			+10% -10%
✖Volume is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume [V_T]			+10% -10%
✖Difference in Pressure is the difference between the pressures.ⓘ Difference in Pressure [ΔP]			+10% -10%

✖Volume Expansivity is the fractional increase in the volume of a solid, liquid, or gas per unit rise in temperature.ⓘ Volume Expansivity for Pumps using Entropy [β]

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Volume Expansivity for Pumps using Entropy

Formula

`"β" = (("C"_{"pk"}*ln("T"_{"2"}/"T"_{"1"}))-"ΔS")/("V"_{"T"}*"ΔP")`

Example

`"2.842534°C⁻¹"=(("5000J/(kg*K)"*ln("151K"/"101K"))-"220J/kg*K")/("63m³"*"10Pa")`

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Volume Expansivity for Pumps using Entropy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume Expansivity = ((Specific Heat Capacity at Constant Pressure per K*ln(Temperature of Surface 2/Temperature of Surface 1))-Change in Entropy)/(Volume*Difference in Pressure)
β = ((C_pk*ln(T₂/T₁))-ΔS)/(V_T*ΔP)
This formula uses 1 Functions, 7 Variables

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

Volume Expansivity - (Measured in Per Kelvin) - Volume Expansivity is the fractional increase in the volume of a solid, liquid, or gas per unit rise in temperature.
Specific Heat Capacity at Constant Pressure per K - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure per K is the amount of heat that is required to raise the temperature of a unit mass of substance by 1 degree at constant pressure.
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.
Change in Entropy - (Measured in Joule per Kilogram K) - Change in entropy is the thermodynamic quantity equivalent to the total difference between the entropy of a system.
Volume - (Measured in Cubic Meter) - Volume is the amount of space that a substance or object occupies or that is enclosed within a container.
Difference in Pressure - (Measured in Pascal) - Difference in Pressure is the difference between the pressures.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Capacity at Constant Pressure per K: 5000 Joule per Kilogram per K --> 5000 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
Change in Entropy: 220 Joule per Kilogram K --> 220 Joule per Kilogram K No Conversion Required
Volume: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
Difference in Pressure: 10 Pascal --> 10 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β = ((C_pk*ln(T₂/T₁))-ΔS)/(V_T*ΔP) --> ((5000*ln(151/101))-220)/(63*10)

Evaluating ... ...

β = 2.84253428550528

STEP 3: Convert Result to Output's Unit

2.84253428550528 Per Kelvin -->2.84253428550528 Per Degree Celsius (Check conversion here)

FINAL ANSWER

2.84253428550528 ≈ 2.842534 Per Degree Celsius <-- Volume Expansivity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Thermodynamics » Application of Thermodynamics to Flow Processes » Volume Expansivity for Pumps using Entropy

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Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

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College Of Engineering (COEP), Pune

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< 23 Application of Thermodynamics to Flow Processes Calculators

Isentropic Work Done Rate for Adiabatic Compression Process using Gamma

Go Shaft Work (Isentropic) = [R]*(Temperature of Surface 1/((Heat Capacity Ratio-1)/Heat Capacity Ratio))*((Pressure 2/Pressure 1)^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)

Volume Expansivity for Pumps using Entropy

Go Volume Expansivity = ((Specific Heat Capacity at Constant Pressure per K*ln(Temperature of Surface 2/Temperature of Surface 1))-Change in Entropy)/(Volume*Difference in Pressure)

Enthalpy for Pumps using Volume Expansivity for Pump

Go Change in Enthalpy = (Specific Heat Capacity at Constant Pressure per K*Overall Difference in Temperature)+(Specific Volume*(1-(Volume Expansivity*Temperature of Liquid))*Difference in Pressure)

Volume Expansivity for Pumps using Enthalpy

Go Volume Expansivity = ((((Specific Heat Capacity at Constant Pressure*Overall Difference in Temperature)-Change in Enthalpy)/(Volume*Difference in Pressure))+1)/Temperature of Liquid

Entropy for Pumps using Volume Expansivity for Pump

Go Change in Entropy = (Specific Heat Capacity*ln(Temperature of Surface 2/Temperature of Surface 1))-(Volume Expansivity*Volume*Difference in Pressure)

Isentropic Work done rate for Adiabatic Compression Process using Cp

Go Shaft Work (Isentropic) = Specific Heat Capacity*Temperature of Surface 1*((Pressure 2/Pressure 1)^([R]/Specific Heat Capacity)-1)

Overall Efficiency given Boiler, Cycle, Turbine, Generator, and Auxiliary Efficiency

Go Overall Efficiency = Boiler Efficiency*Cycle Efficiency*Turbine Efficiency*Generator Efficiency*Auxiliary Efficiency

Shaft Power

Go Shaft Power = 2*pi*Revolutions per Second*Torque Exerted on Wheel

Isentropic Change in Enthalpy using Compressor Efficiency and Actual Change in Enthalpy

Go Change in Enthalpy (Isentropic) = Compressor Efficiency*Change in Enthalpy

Compressor Efficiency using Actual and Isentropic Change in Enthalpy

Go Compressor Efficiency = Change in Enthalpy (Isentropic)/Change in Enthalpy

Actual Enthalpy Change using Isentropic Compression Efficieny

Go Change in Enthalpy = Change in Enthalpy (Isentropic)/Compressor Efficiency

Isentropic Change in Enthalpy using Turbine Efficiency and Actual Change in Enthalpy

Go Change in Enthalpy (Isentropic) = Change in Enthalpy/Turbine Efficiency

Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy

Go Change in Enthalpy = Turbine Efficiency*Change in Enthalpy (Isentropic)

Actual Work done using Compressor Efficiency and Isentropic Shaft Work

Go Actual Shaft Work = Shaft Work (Isentropic)/Compressor Efficiency

Isentropic Work Done using Compressor Efficiency and Actual Shaft Work

Go Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work

Compressor Efficiency using Actual and Isentropic Shaft Work

Go Compressor Efficiency = Shaft Work (Isentropic)/Actual Shaft Work

Actual Work Done using Turbine Efficiency and Isentropic Shaft Work

Go Actual Shaft Work = Turbine Efficiency*Shaft Work (Isentropic)

Isentropic Work Done using Turbine Efficiency and Actual Shaft Work

Go Shaft Work (Isentropic) = Actual Shaft Work/Turbine Efficiency

Turbine Efficiency using Actual and Isentropic Shaft Work

Go Turbine Efficiency = Actual Shaft Work/Shaft Work (Isentropic)

Nozzle Efficiency

Go Nozzle Efficiency = Change in Kinetic Energy/Kinetic Energy

Mass Flow Rate of Stream in Turbine (Expanders)

Go Mass Flow Rate = Work Done Rate/Change in Enthalpy

Change in Enthalpy in Turbine (Expanders)

Go Change in Enthalpy = Work Done Rate/Mass Flow Rate

Work Done Rate by Turbine (Expanders)

Go Work Done Rate = Change in Enthalpy*Mass Flow Rate

Volume Expansivity for Pumps using Entropy Formula

Define pump.

A pump is a device that moves fluids (liquids or gases), or sometimes slurries, by mechanical action, typically converted from electrical energy into Hydraulic energy. Pumps can be classified into three major groups according to the method they use to move the fluid: direct lift, displacement, and gravity pumps. Pumps operate by some mechanism (typically reciprocating or rotary), and consume energy to perform mechanical work moving the fluid. Pumps operate via many energy sources, including manual operation, electricity, engines, or wind power, and come in many sizes, from microscopic for use in medical applications, to large industrial pumps.

Define entropy.

Entropy is a scientific concept, as well as a measurable physical property that is most commonly associated with a state of disorder, randomness, or uncertainty. The term and the concept are used in diverse fields, from classical thermodynamics, where it was first recognized, to the microscopic description of nature in statistical physics, and to the principles of information theory. It has found far-ranging applications in chemistry and physics, in biological systems and their relation to life, in cosmology, economics, sociology, weather science, climate change, and information systems including the transmission of information in telecommunication.

How to Calculate Volume Expansivity for Pumps using Entropy?

Volume Expansivity for Pumps using Entropy calculator uses Volume Expansivity = ((Specific Heat Capacity at Constant Pressure per K*ln(Temperature of Surface 2/Temperature of Surface 1))-Change in Entropy)/(Volume*Difference in Pressure) to calculate the Volume Expansivity, The Volume Expansivity for Pumps using Entropy formula is defined as the function of specific heat capacity, temperature 1 & 2, volume, change in entropy, and the difference in pressure for a pump. Volume Expansivity is denoted by β symbol.

How to calculate Volume Expansivity for Pumps using Entropy using this online calculator? To use this online calculator for Volume Expansivity for Pumps using Entropy, enter Specific Heat Capacity at Constant Pressure per K (C_pk), Temperature of Surface 2 (T₂), Temperature of Surface 1 (T₁), Change in Entropy (ΔS), Volume (V_T) & Difference in Pressure (ΔP) and hit the calculate button. Here is how the Volume Expansivity for Pumps using Entropy calculation can be explained with given input values -> 2.842534 = ((5000*ln(151/101))-220)/(63*10).

FAQ

What is Volume Expansivity for Pumps using Entropy?

The Volume Expansivity for Pumps using Entropy formula is defined as the function of specific heat capacity, temperature 1 & 2, volume, change in entropy, and the difference in pressure for a pump and is represented as β = ((C_pk*ln(T₂/T₁))-ΔS)/(V_T*ΔP) or Volume Expansivity = ((Specific Heat Capacity at Constant Pressure per K*ln(Temperature of Surface 2/Temperature of Surface 1))-Change in Entropy)/(Volume*Difference in Pressure). Specific Heat Capacity at Constant Pressure per K is the amount of heat that is required to raise the temperature of a unit mass of substance by 1 degree at constant pressure, Temperature of Surface 2 is the temperature of the 2nd surface, Temperature of Surface 1 is the temperature of the 1st surface, Change in entropy is the thermodynamic quantity equivalent to the total difference between the entropy of a system, Volume is the amount of space that a substance or object occupies or that is enclosed within a container & Difference in Pressure is the difference between the pressures.

How to calculate Volume Expansivity for Pumps using Entropy?

The Volume Expansivity for Pumps using Entropy formula is defined as the function of specific heat capacity, temperature 1 & 2, volume, change in entropy, and the difference in pressure for a pump is calculated using Volume Expansivity = ((Specific Heat Capacity at Constant Pressure per K*ln(Temperature of Surface 2/Temperature of Surface 1))-Change in Entropy)/(Volume*Difference in Pressure). To calculate Volume Expansivity for Pumps using Entropy, you need Specific Heat Capacity at Constant Pressure per K (C_pk), Temperature of Surface 2 (T₂), Temperature of Surface 1 (T₁), Change in Entropy (ΔS), Volume (V_T) & Difference in Pressure (ΔP). With our tool, you need to enter the respective value for Specific Heat Capacity at Constant Pressure per K, Temperature of Surface 2, Temperature of Surface 1, Change in Entropy, Volume & Difference in Pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume Expansivity?

In this formula, Volume Expansivity uses Specific Heat Capacity at Constant Pressure per K, Temperature of Surface 2, Temperature of Surface 1, Change in Entropy, Volume & Difference in Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -

Volume Expansivity = ((((Specific Heat Capacity at Constant Pressure*Overall Difference in Temperature)-Change in Enthalpy)/(Volume*Difference in Pressure))+1)/Temperature of Liquid

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