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Volume Expansivity for Pumps using Entropy Formula

GoVolume Expansivity for Pumps using Enthalpy Formula

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

β = \frac{(C pk \cdot \ln (\frac{T 2}{T 1})) - ΔS}{V T \cdot ΔP}

β - Volume Expansivity?C_pk - Specific Heat Capacity at Constant Pressure per K?T₂ - Temperature of Surface 2?T₁ - Temperature of Surface 1?ΔS - Change in Entropy?V_T - Volume?ΔP - Difference in Pressure?

Volume Expansivity for Pumps using Entropy Example

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

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

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

2.8425 = \frac{(5000 \cdot \ln (\frac{151}{101})) - 220}{63 \cdot 10}

2.8425°C⁻¹ = \frac{(5000J/(kg*K) \cdot \ln (\frac{151K}{101K})) - 220J/kg*K}{63m³ \cdot 10Pa}

2.8425 = \frac{(5000 \cdot \ln (\frac{151}{101})) - 220}{63 \cdot 10}

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Volume Expansivity for Pumps using Entropy Solution

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

FIRST Step Consider the formula

β = \frac{(C pk \cdot \ln (\frac{T 2}{T 1})) - ΔS}{V T \cdot ΔP}

Next Step Substitute values of Variables

∴

β = \frac{(5000J/(kg*K) \cdot \ln (\frac{151K}{101K})) - 220J/kg*K}{63m³ \cdot 10Pa}

Next Step Prepare to Evaluate

∴

β = \frac{(5000 \cdot \ln (\frac{151}{101})) - 220}{63 \cdot 10}

Next Step Evaluate

∴

β = 2.842534285505281/K

Next Step Convert to Output's Unit

∴

β = 2.84253428550528°C⁻¹

LAST Step Rounding Answer

∴

β = 2.8425°C⁻¹

Volume Expansivity for Pumps using Entropy Formula Elements

Variables

Functions

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

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

Temperature of Surface 2

Temperature of Surface 2 is the temperature of the 2nd surface.

Symbol: T₂

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Surface 2

Temperature of Surface 1

Temperature of Surface 1 is the temperature of the 1st surface.

Symbol: T₁

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Surface 1

Change in Entropy

Change in entropy is the thermodynamic quantity equivalent to the total difference between the entropy of a system.

Symbol: ΔS

Measurement: Specific EntropyUnit: J/kg*K

Note: Value can be positive or negative.

Formulas to find Change in Entropy

Volume

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

Symbol: V_T

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume

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

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Volume Expansivity

Go Volume Expansivity for Pumps using Enthalpy

β = \frac{(\frac{(C p \cdot ΔT) - ΔH}{V T \cdot ΔP}) + 1}{T}

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 Volume Expansivity for Pumps using Entropy?

Volume Expansivity for Pumps using Entropy evaluator 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 evaluate 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 evaluate Volume Expansivity for Pumps using Entropy using this online evaluator? To use this online evaluator 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.

FAQs on Volume Expansivity for Pumps using Entropy

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

The formula of Volume Expansivity for Pumps using Entropy is expressed as 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). Here is an example- 2.842534 = ((5000*ln(151/101))-220)/(63*10).

How to calculate Volume Expansivity for Pumps using Entropy?

With 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) we can find Volume Expansivity for Pumps using Entropy using the formula - 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). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Volume Expansivity?

Here are the different ways to Calculate Volume Expansivity-

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

Can the Volume Expansivity for Pumps using Entropy be negative?

Yes, the Volume Expansivity for Pumps using Entropy, measured in Temperature Coefficient of Resistance can be negative.

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

Volume Expansivity for Pumps using Entropy is usually measured using the Per Degree Celsius[°C⁻¹] for Temperature Coefficient of Resistance. Per Kelvin[°C⁻¹] are the few other units in which Volume Expansivity for Pumps using Entropy can be measured.

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Volume Expansivity for Pumps using Entropy Formula

​GoVolume Expansivity for Pumps using Enthalpy Formula

Volume Expansivity for Pumps using Entropy Example

Volume Expansivity for Pumps using Entropy Solution

Volume Expansivity for Pumps using Entropy Formula Elements

Other Formulas to find Volume Expansivity

Other formulas in Application of Thermodynamics to Flow Processes category

How to Evaluate Volume Expansivity for Pumps using Entropy?

FAQs on Volume Expansivity for Pumps using Entropy

Variable Name

GoVolume Expansivity for Pumps using Enthalpy Formula