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Isentropic Compressibility given Thermal Pressure Coefficient and Cp Formula

GoIsentropic Compressibility given Molar Heat Capacity Ratio Formula

GoIsentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Formula

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The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy. Check FAQs

K S = \frac{1}{(\frac{1}{K T}) + (\frac{(Λ^{2}) \cdot T}{ρ \cdot (C p - [R])})}

K_S - Isentropic Compressibility?K_T - Isothermal Compressibility?Λ - Thermal Pressure Coefficient?T - Temperature?ρ - Density?C_p - Molar Specific Heat Capacity at Constant Pressure?[R] - Universal gas constant?

Isentropic Compressibility given Thermal Pressure Coefficient and Cp Example

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Here is how the Isentropic Compressibility given Thermal Pressure Coefficient and Cp equation looks like with Values.

Here is how the Isentropic Compressibility given Thermal Pressure Coefficient and Cp equation looks like with Units.

Here is how the Isentropic Compressibility given Thermal Pressure Coefficient and Cp equation looks like.

74.9996 = \frac{1}{(\frac{1}{75}) + (\frac{({0.01}^{2}) \cdot 85}{997 \cdot (122 - 8.3145)})}

74.9996m²/N = \frac{1}{(\frac{1}{75m²/N}) + (\frac{({0.01Pa/K}^{2}) \cdot 85K}{997kg/m³ \cdot (122J/K*mol - 8.3145)})}

74.9996 = \frac{1}{(\frac{1}{75}) + (\frac{({0.01}^{2}) \cdot 85}{997 \cdot (122 - 8.3145)})}

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Isentropic Compressibility given Thermal Pressure Coefficient and Cp Solution

Follow our step by step solution on how to calculate Isentropic Compressibility given Thermal Pressure Coefficient and Cp?

FIRST Step Consider the formula

K S = \frac{1}{(\frac{1}{K T}) + (\frac{(Λ^{2}) \cdot T}{ρ \cdot (C p - [R])})}

Next Step Substitute values of Variables

∴

K S = \frac{1}{(\frac{1}{75m²/N}) + (\frac{({0.01Pa/K}^{2}) \cdot 85K}{997kg/m³ \cdot (122J/K*mol - [R])})}

Next Step Substitute values of Constants

∴

K S = \frac{1}{(\frac{1}{75m²/N}) + (\frac{({0.01Pa/K}^{2}) \cdot 85K}{997kg/m³ \cdot (122J/K*mol - 8.3145)})}

Next Step Prepare to Evaluate

∴

K S = \frac{1}{(\frac{1}{75}) + (\frac{({0.01}^{2}) \cdot 85}{997 \cdot (122 - 8.3145)})}

Next Step Evaluate

∴

K S = 74.999578168864m²/N

LAST Step Rounding Answer

∴

K S = 74.9996m²/N

Isentropic Compressibility given Thermal Pressure Coefficient and Cp Formula Elements

Variables

Constants

Isentropic Compressibility

The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.

Symbol: K_S

Measurement: CompressibilityUnit: m²/N

Note: Value can be positive or negative.

Formulas to find Isentropic Compressibility

Isothermal Compressibility

The isothermal compressibility is the change in volume due to change in pressure at constant temperature.

Symbol: K_T

Measurement: CompressibilityUnit: m²/N

Note: Value can be positive or negative.

Formulas to find Isothermal Compressibility

Thermal Pressure Coefficient

Thermal Pressure Coefficient is a measure of the relative pressure change of a fluid or a solid as a response to a temperature change at constant volume.

Symbol: Λ

Measurement: Slope of Coexistence CurveUnit: Pa/K

Note: Value can be positive or negative.

Formulas to find Thermal Pressure Coefficient

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Density

The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Molar Specific Heat Capacity at Constant Pressure

Molar Specific Heat Capacity at Constant Pressure of a gas is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.

Symbol: C_p

Measurement: Molar Specific Heat Capacity at Constant PressureUnit: J/K*mol

Note: Value should be greater than 0.

Formulas to find Molar Specific Heat Capacity at Constant Pressure

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Other Formulas to find Isentropic Compressibility

Go Isentropic Compressibility given Molar Heat Capacity Ratio

K S = \frac{K T}{γ}

Go Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp

K S = K T - (\frac{(α^{2}) \cdot T}{ρ \cdot C p})

Go Isentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume

K S = (\frac{C v}{C p}) \cdot K T

Go Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv

K S = K T - (\frac{(α^{2}) \cdot T}{ρ \cdot (C v + [R])})

Other formulas in Isentropic Compressibility category

Go Isentropic Compressibility

K comp = \frac{1}{ρ \cdot (c^{2})}

Go Molar Volume of Perfect Gas given Compressibility Factor

V m_CE = \frac{V m}{z}

How to Evaluate Isentropic Compressibility given Thermal Pressure Coefficient and Cp?

Isentropic Compressibility given Thermal Pressure Coefficient and Cp evaluator uses Isentropic Compressibility = 1/((1/Isothermal Compressibility)+(((Thermal Pressure Coefficient^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Pressure-[R])))) to evaluate the Isentropic Compressibility, The Isentropic compressibility given thermal pressure coefficient and Cp is the change in volume due to change in pressure at constant entropy. Isentropic Compressibility is denoted by K_S symbol.

How to evaluate Isentropic Compressibility given Thermal Pressure Coefficient and Cp using this online evaluator? To use this online evaluator for Isentropic Compressibility given Thermal Pressure Coefficient and Cp, enter Isothermal Compressibility (K_T), Thermal Pressure Coefficient (Λ), Temperature (T), Density (ρ) & Molar Specific Heat Capacity at Constant Pressure (C_p) and hit the calculate button.

FAQs on Isentropic Compressibility given Thermal Pressure Coefficient and Cp

What is the formula to find Isentropic Compressibility given Thermal Pressure Coefficient and Cp?

The formula of Isentropic Compressibility given Thermal Pressure Coefficient and Cp is expressed as Isentropic Compressibility = 1/((1/Isothermal Compressibility)+(((Thermal Pressure Coefficient^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Pressure-[R])))). Here is an example- 74.99958 = 1/((1/75)+(((0.01^2)*85)/(997*(122-[R])))).

How to calculate Isentropic Compressibility given Thermal Pressure Coefficient and Cp?

With Isothermal Compressibility (K_T), Thermal Pressure Coefficient (Λ), Temperature (T), Density (ρ) & Molar Specific Heat Capacity at Constant Pressure (C_p) we can find Isentropic Compressibility given Thermal Pressure Coefficient and Cp using the formula - Isentropic Compressibility = 1/((1/Isothermal Compressibility)+(((Thermal Pressure Coefficient^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Pressure-[R])))). This formula also uses Universal gas constant .

What are the other ways to Calculate Isentropic Compressibility?

Here are the different ways to Calculate Isentropic Compressibility-

Isentropic Compressibility=Isothermal Compressibility/Ratio of Molar Heat Capacity
Isentropic Compressibility=Isothermal Compressibility-(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Pressure))
Isentropic Compressibility=(Molar Specific Heat Capacity at Constant Volume/Molar Specific Heat Capacity at Constant Pressure)*Isothermal Compressibility

Can the Isentropic Compressibility given Thermal Pressure Coefficient and Cp be negative?

Yes, the Isentropic Compressibility given Thermal Pressure Coefficient and Cp, measured in Compressibility can be negative.

Which unit is used to measure Isentropic Compressibility given Thermal Pressure Coefficient and Cp?

Isentropic Compressibility given Thermal Pressure Coefficient and Cp is usually measured using the Square Meter per Newton[m²/N] for Compressibility. Square Centimeter per Newton[m²/N] are the few other units in which Isentropic Compressibility given Thermal Pressure Coefficient and Cp can be measured.

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Isentropic Compressibility given Thermal Pressure Coefficient and Cp Formula

​GoIsentropic Compressibility given Molar Heat Capacity Ratio Formula

​GoIsentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Formula

Isentropic Compressibility given Thermal Pressure Coefficient and Cp Example

Isentropic Compressibility given Thermal Pressure Coefficient and Cp Solution

Isentropic Compressibility given Thermal Pressure Coefficient and Cp Formula Elements

Other Formulas to find Isentropic Compressibility

Other formulas in Isentropic Compressibility category

How to Evaluate Isentropic Compressibility given Thermal Pressure Coefficient and Cp?

FAQs on Isentropic Compressibility given Thermal Pressure Coefficient and Cp

Variable Name

GoIsentropic Compressibility given Molar Heat Capacity Ratio Formula

GoIsentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Formula