Enthalpy for Pumps using Volume Expansivity for Pump Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
ΔH = (Cpk*ΔT)+(VSpecific*(1-(β*T))*ΔP)
This formula uses 7 Variables
Variables Used
Change in Enthalpy - (Measured in Joule per Kilogram) - Change in enthalpy is the thermodynamic quantity equivalent to the total difference between the heat content of a system.
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.
Overall Difference in Temperature - (Measured in Kelvin) - Overall difference in temperature is the difference of overall temperature values.
Specific Volume - (Measured in Cubic Meter per Kilogram) - Specific Volume is the amount of space that a substance or object occupies or that is enclosed within a container per kilogram.
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.
Temperature of Liquid - (Measured in Kelvin) - The temperature of liquid is the degree or intensity of heat present in a liquid.
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
Overall Difference in Temperature: 20 Kelvin --> 20 Kelvin No Conversion Required
Specific Volume: 63.6 Cubic Meter per Kilogram --> 63.6 Cubic Meter per Kilogram No Conversion Required
Volume Expansivity: 0.1 Per Degree Celsius --> 0.1 Per Kelvin (Check conversion here)
Temperature of Liquid: 85 Kelvin --> 85 Kelvin No Conversion Required
Difference in Pressure: 10 Pascal --> 10 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔH = (Cpk*ΔT)+(VSpecific*(1-(β*T))*ΔP) --> (5000*20)+(63.6*(1-(0.1*85))*10)
Evaluating ... ...
ΔH = 95230
STEP 3: Convert Result to Output's Unit
95230 Joule per Kilogram --> No Conversion Required
FINAL ANSWER
95230 Joule per Kilogram <-- Change in Enthalpy
(Calculation completed in 00.004 seconds)

Credits

Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
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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

Enthalpy for Pumps using Volume Expansivity for Pump Formula

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)
ΔH = (Cpk*ΔT)+(VSpecific*(1-(β*T))*ΔP)

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 enthalpy.

Enthalpy is a property of a thermodynamic system, defined as the sum of the system's internal energy and the product of its pressure and volume. It is a convenient state function standardly used in many measurements in chemical, biological, and physical systems at a constant pressure. The pressure-volume term expresses the work required to establish the system's physical dimensions, i.e. to make room for it by displacing its surroundings. As a state function, enthalpy depends only on the final configuration of internal energy, pressure, and volume, not on the path taken to achieve it.

How to Calculate Enthalpy for Pumps using Volume Expansivity for Pump?

Enthalpy for Pumps using Volume Expansivity for Pump calculator uses 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) to calculate the Change in Enthalpy, The Enthalpy for Pumps using Volume Expansivity for Pump formula is defined as the function of specific heat capacity, the difference in temperature, volume, volume expansivity, temperature, and the difference in pressure for a pump. Change in Enthalpy is denoted by ΔH symbol.

How to calculate Enthalpy for Pumps using Volume Expansivity for Pump using this online calculator? To use this online calculator for Enthalpy for Pumps using Volume Expansivity for Pump, enter Specific Heat Capacity at Constant Pressure per K (Cpk), Overall Difference in Temperature (ΔT), Specific Volume (VSpecific), Volume Expansivity (β), Temperature of Liquid (T) & Difference in Pressure (ΔP) and hit the calculate button. Here is how the Enthalpy for Pumps using Volume Expansivity for Pump calculation can be explained with given input values -> 95230 = (5000*20)+(63.6*(1-(0.1*85))*10).

FAQ

What is Enthalpy for Pumps using Volume Expansivity for Pump?
The Enthalpy for Pumps using Volume Expansivity for Pump formula is defined as the function of specific heat capacity, the difference in temperature, volume, volume expansivity, temperature, and the difference in pressure for a pump and is represented as ΔH = (Cpk*ΔT)+(VSpecific*(1-(β*T))*ΔP) or 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). 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, Overall difference in temperature is the difference of overall temperature values, Specific Volume is the amount of space that a substance or object occupies or that is enclosed within a container per kilogram, Volume Expansivity is the fractional increase in the volume of a solid, liquid, or gas per unit rise in temperature, The temperature of liquid is the degree or intensity of heat present in a liquid & Difference in Pressure is the difference between the pressures.
How to calculate Enthalpy for Pumps using Volume Expansivity for Pump?
The Enthalpy for Pumps using Volume Expansivity for Pump formula is defined as the function of specific heat capacity, the difference in temperature, volume, volume expansivity, temperature, and the difference in pressure for a pump is calculated using 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). To calculate Enthalpy for Pumps using Volume Expansivity for Pump, you need Specific Heat Capacity at Constant Pressure per K (Cpk), Overall Difference in Temperature (ΔT), Specific Volume (VSpecific), Volume Expansivity (β), Temperature of Liquid (T) & Difference in Pressure (ΔP). With our tool, you need to enter the respective value for Specific Heat Capacity at Constant Pressure per K, Overall Difference in Temperature, Specific Volume, Volume Expansivity, Temperature of Liquid & 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 Change in Enthalpy?
In this formula, Change in Enthalpy uses Specific Heat Capacity at Constant Pressure per K, Overall Difference in Temperature, Specific Volume, Volume Expansivity, Temperature of Liquid & Difference in Pressure. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Change in Enthalpy = Work Done Rate/Mass Flow Rate
  • Change in Enthalpy = Change in Enthalpy (Isentropic)/Compressor Efficiency
  • Change in Enthalpy = Turbine Efficiency*Change in Enthalpy (Isentropic)
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