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Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv 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 = K T - (\frac{(α^{2}) \cdot T}{ρ \cdot (C v + [R])})

K_S - Isentropic Compressibility?K_T - Isothermal Compressibility?α - Volumetric Coefficient of Thermal Expansion?T - Temperature?ρ - Density?C_v - Molar Specific Heat Capacity at Constant Volume?[R] - Universal gas constant?

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv Example

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Here is how the Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv equation looks like with Values.

Here is how the Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv equation looks like with Units.

Here is how the Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv equation looks like.

74.5213 = 75 - (\frac{(25^{2}) \cdot 85}{997 \cdot (103 + 8.3145)})

74.5213m²/N = 75m²/N - (\frac{({25K⁻¹}^{2}) \cdot 85K}{997kg/m³ \cdot (103J/K*mol + 8.3145)})

74.5213 = 75 - (\frac{(25^{2}) \cdot 85}{997 \cdot (103 + 8.3145)})

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Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv Solution

Follow our step by step solution on how to calculate Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K S = 75m²/N - (\frac{({25K⁻¹}^{2}) \cdot 85K}{997kg/m³ \cdot (103J/K*mol + [R])})

Next Step Substitute values of Constants

∴

K S = 75m²/N - (\frac{({25K⁻¹}^{2}) \cdot 85K}{997kg/m³ \cdot (103J/K*mol + 8.3145)})

Next Step Prepare to Evaluate

∴

K S = 75 - (\frac{(25^{2}) \cdot 85}{997 \cdot (103 + 8.3145)})

Next Step Evaluate

∴

K S = 74.521312385557m²/N

LAST Step Rounding Answer

∴

K S = 74.5213m²/N

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv 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

Volumetric Coefficient of Thermal Expansion

Volumetric coefficient of thermal expansion is the tendency of matter to change its volume in response to a change in temperature.

Symbol: α

Measurement: Thermal ExpansionUnit: K⁻¹

Note: Value can be positive or negative.

Formulas to find Volumetric Coefficient of Thermal Expansion

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 Volume

Molar Specific Heat Capacity at Constant Volume, 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 volume.

Symbol: C_v

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

Note: Value should be greater than 0.

Formulas to find Molar Specific Heat Capacity at Constant Volume

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 Thermal Pressure Coefficient and Cp

K S = \frac{1}{(\frac{1}{K T}) + (\frac{(Λ^{2}) \cdot T}{ρ \cdot (C p - [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 Volumetric Coefficient of Thermal Expansion and Cv?

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv evaluator uses Isentropic Compressibility = Isothermal Compressibility-(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Volume+[R]))) to evaluate the Isentropic Compressibility, The Isentropic compressibility given volumetric coefficient of thermal expansion and Cv 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 Volumetric Coefficient of Thermal Expansion and Cv using this online evaluator? To use this online evaluator for Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv, enter Isothermal Compressibility (K_T), Volumetric Coefficient of Thermal Expansion (α), Temperature (T), Density (ρ) & Molar Specific Heat Capacity at Constant Volume (C_v) and hit the calculate button.

FAQs on Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv

What is the formula to find Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv?

The formula of Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv is expressed as Isentropic Compressibility = Isothermal Compressibility-(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Volume+[R]))). Here is an example- 74.52131 = 75-(((25^2)*85)/(997*(103+[R]))).

How to calculate Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv?

With Isothermal Compressibility (K_T), Volumetric Coefficient of Thermal Expansion (α), Temperature (T), Density (ρ) & Molar Specific Heat Capacity at Constant Volume (C_v) we can find Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv using the formula - Isentropic Compressibility = Isothermal Compressibility-(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Volume+[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 Volumetric Coefficient of Thermal Expansion and Cv be negative?

Yes, the Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv, measured in Compressibility can be negative.

Which unit is used to measure Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv?

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv 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 Volumetric Coefficient of Thermal Expansion and Cv can be measured.

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Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv Formula

​GoIsentropic Compressibility given Molar Heat Capacity Ratio Formula

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

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv Example

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv Solution

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv Formula Elements

Other Formulas to find Isentropic Compressibility

Other formulas in Isentropic Compressibility category

How to Evaluate Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv?

FAQs on Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv

Variable Name

GoIsentropic Compressibility given Molar Heat Capacity Ratio Formula

GoIsentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Formula