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Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Formula

GoIsentropic Compressibility given Molar Heat Capacity Ratio Formula

GoIsentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume 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 p})

K_S - Isentropic Compressibility?K_T - Isothermal Compressibility?α - Volumetric Coefficient of Thermal Expansion?T - Temperature?ρ - Density?C_p - Molar Specific Heat Capacity at Constant Pressure?

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Example

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

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

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

74.5632 = 75 - (\frac{(25^{2}) \cdot 85}{997 \cdot 122})

74.5632m²/N = 75m²/N - (\frac{({25K⁻¹}^{2}) \cdot 85K}{997kg/m³ \cdot 122J/K*mol})

74.5632 = 75 - (\frac{(25^{2}) \cdot 85}{997 \cdot 122})

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Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K S = 75m²/N - (\frac{({25K⁻¹}^{2}) \cdot 85K}{997kg/m³ \cdot 122J/K*mol})

Next Step Prepare to Evaluate

∴

K S = 75 - (\frac{(25^{2}) \cdot 85}{997 \cdot 122})

Next Step Evaluate

∴

K S = 74.5632388970189m²/N

LAST Step Rounding Answer

∴

K S = 74.5632m²/N

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

Variables

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 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

Other Formulas to find Isentropic Compressibility

Go Isentropic Compressibility given Molar Heat Capacity Ratio

K S = \frac{K T}{γ}

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])})}

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 Volumetric Coefficient of Thermal Expansion and Cp?

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

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

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

The formula of Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp is expressed as Isentropic Compressibility = Isothermal Compressibility-(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Pressure)). Here is an example- 74.56324 = 75-(((25^2)*85)/(997*122)).

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

With Isothermal Compressibility (K_T), Volumetric Coefficient of Thermal Expansion (α), Temperature (T), Density (ρ) & Molar Specific Heat Capacity at Constant Pressure (C_p) we can find Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp using the formula - Isentropic Compressibility = Isothermal Compressibility-(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Pressure)).

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=(Molar Specific Heat Capacity at Constant Volume/Molar Specific Heat Capacity at Constant Pressure)*Isothermal Compressibility
Isentropic Compressibility=1/((1/Isothermal Compressibility)+(((Thermal Pressure Coefficient^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Pressure-[R]))))

Can the Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp be negative?

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

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

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

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Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Formula

​GoIsentropic Compressibility given Molar Heat Capacity Ratio Formula

​GoIsentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume Formula

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Example

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Solution

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp 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 Cp?

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

Variable Name

GoIsentropic Compressibility given Molar Heat Capacity Ratio Formula

GoIsentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume Formula