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Enthalpy for Pumps using Volume Expansivity for Pump Formula

GoChange in Enthalpy in Turbine (Expanders) Formula

GoActual Enthalpy Change using Isentropic Compression Efficieny Formula

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Change in enthalpy is the thermodynamic quantity equivalent to the total difference between the heat content of a system. Check FAQs

ΔH = (C pk \cdot ΔT) + (V Specific \cdot (1 - (β \cdot T)) \cdot ΔP)

ΔH - Change in Enthalpy?C_pk - Specific Heat Capacity at Constant Pressure per K?ΔT - Overall Difference in Temperature?V_Specific - Specific Volume?β - Volume Expansivity?T - Temperature of Liquid?ΔP - Difference in Pressure?

Enthalpy for Pumps using Volume Expansivity for Pump Example

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Here is how the Enthalpy for Pumps using Volume Expansivity for Pump equation looks like with Values.

Here is how the Enthalpy for Pumps using Volume Expansivity for Pump equation looks like with Units.

Here is how the Enthalpy for Pumps using Volume Expansivity for Pump equation looks like.

95230 = (5000 \cdot 20) + (63.6 \cdot (1 - (0.1 \cdot 85)) \cdot 10)

95230J/kg = (5000J/(kg*K) \cdot 20K) + (63.6m³/kg \cdot (1 - (0.1°C⁻¹ \cdot 85K)) \cdot 10Pa)

95230 = (5000 \cdot 20) + (63.6 \cdot (1 - (0.1 \cdot 85)) \cdot 10)

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Enthalpy for Pumps using Volume Expansivity for Pump Solution

Follow our step by step solution on how to calculate Enthalpy for Pumps using Volume Expansivity for Pump?

FIRST Step Consider the formula

ΔH = (C pk \cdot ΔT) + (V Specific \cdot (1 - (β \cdot T)) \cdot ΔP)

Next Step Substitute values of Variables

∴

ΔH = (5000J/(kg*K) \cdot 20K) + (63.6m³/kg \cdot (1 - (0.1°C⁻¹ \cdot 85K)) \cdot 10Pa)

Next Step Convert Units

∴

ΔH = (5000J/(kg*K) \cdot 20K) + (63.6m³/kg \cdot (1 - (0.11/K \cdot 85K)) \cdot 10Pa)

Next Step Prepare to Evaluate

∴

ΔH = (5000 \cdot 20) + (63.6 \cdot (1 - (0.1 \cdot 85)) \cdot 10)

LAST Step Evaluate

∴

ΔH = 95230J/kg

Enthalpy for Pumps using Volume Expansivity for Pump Formula Elements

Variables

Change in Enthalpy

Change in enthalpy is the thermodynamic quantity equivalent to the total difference between the heat content of a system.

Symbol: ΔH

Measurement: Heat of Combustion (per Mass)Unit: J/kg

Note: Value can be positive or negative.

Formulas to find Change in Enthalpy

Specific Heat Capacity at Constant Pressure 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.

Symbol: C_pk

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value should be greater than 0.

Formulas to find Specific Heat Capacity at Constant Pressure per K

Overall Difference in Temperature

Overall difference in temperature is the difference of overall temperature values.

Symbol: ΔT

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Overall Difference in Temperature

Specific Volume

Specific Volume is the amount of space that a substance or object occupies or that is enclosed within a container per kilogram.

Symbol: V_Specific

Measurement: Specific VolumeUnit: m³/kg

Note: Value can be positive or negative.

Formulas to find Specific Volume

Volume Expansivity

Volume Expansivity is the fractional increase in the volume of a solid, liquid, or gas per unit rise in temperature.

Symbol: β

Measurement: Temperature Coefficient of ResistanceUnit: °C⁻¹

Note: Value can be positive or negative.

Formulas to find Volume Expansivity

Temperature of Liquid

The temperature of liquid is the degree or intensity of heat present in a liquid.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Liquid

Difference in Pressure

Difference in Pressure is the difference between the pressures.

Symbol: ΔP

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Difference in Pressure

Other Formulas to find Change in Enthalpy

Go Change in Enthalpy in Turbine (Expanders)

ΔH = \frac{W rate}{m}

Go Actual Enthalpy Change using Isentropic Compression Efficieny

ΔH = \frac{ΔH S}{η c}

Other formulas in Application of Thermodynamics to Flow Processes category

Go Isentropic Work done rate for Adiabatic Compression Process using Cp

W s isentropic = c \cdot T 1 \cdot ({(\frac{P 2}{P 1})}^{\frac{[R]}{c}} - 1)

Go Isentropic Work Done Rate for Adiabatic Compression Process using Gamma

W s isentropic = [R] \cdot (\frac{T 1}{\frac{γ - 1}{γ}}) \cdot ({(\frac{P 2}{P 1})}^{\frac{γ - 1}{γ}} - 1)

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

Enthalpy for Pumps using Volume Expansivity for Pump evaluator 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 evaluate 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 evaluate Enthalpy for Pumps using Volume Expansivity for Pump using this online evaluator? To use this online evaluator for Enthalpy for Pumps using Volume Expansivity for Pump, enter Specific Heat Capacity at Constant Pressure per K (C_pk), Overall Difference in Temperature (ΔT), Specific Volume (V_Specific), Volume Expansivity (β), Temperature of Liquid (T) & Difference in Pressure (ΔP) and hit the calculate button.

FAQs on Enthalpy for Pumps using Volume Expansivity for Pump

What is the formula to find Enthalpy for Pumps using Volume Expansivity for Pump?

The formula of Enthalpy for Pumps using Volume Expansivity for Pump is expressed as 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). Here is an example- 95230 = (5000*20)+(63.6*(1-(0.1*85))*10).

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

With Specific Heat Capacity at Constant Pressure per K (C_pk), Overall Difference in Temperature (ΔT), Specific Volume (V_Specific), Volume Expansivity (β), Temperature of Liquid (T) & Difference in Pressure (ΔP) we can find Enthalpy for Pumps using Volume Expansivity for Pump using the 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).

What are the other ways to Calculate Change in Enthalpy?

Here are the different ways to Calculate Change in Enthalpy-

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)

Can the Enthalpy for Pumps using Volume Expansivity for Pump be negative?

Yes, the Enthalpy for Pumps using Volume Expansivity for Pump, measured in Heat of Combustion (per Mass) can be negative.

Which unit is used to measure Enthalpy for Pumps using Volume Expansivity for Pump?

Enthalpy for Pumps using Volume Expansivity for Pump is usually measured using the Joule per Kilogram[J/kg] for Heat of Combustion (per Mass). Kilojoule per Kilogram[J/kg], Calorie (IT) per Gram[J/kg] are the few other units in which Enthalpy for Pumps using Volume Expansivity for Pump can be measured.

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Enthalpy for Pumps using Volume Expansivity for Pump Formula

​GoChange in Enthalpy in Turbine (Expanders) Formula

​GoActual Enthalpy Change using Isentropic Compression Efficieny Formula

Enthalpy for Pumps using Volume Expansivity for Pump Example

Enthalpy for Pumps using Volume Expansivity for Pump Solution

Enthalpy for Pumps using Volume Expansivity for Pump Formula Elements

Other Formulas to find Change in Enthalpy

Other formulas in Application of Thermodynamics to Flow Processes category

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

FAQs on Enthalpy for Pumps using Volume Expansivity for Pump

Variable Name

GoChange in Enthalpy in Turbine (Expanders) Formula

GoActual Enthalpy Change using Isentropic Compression Efficieny Formula