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Isothermal Compressibility given Thermal Pressure Coefficient and Cv Formula

GoIsothermal Compressibility given Molar Heat Capacity Ratio Formula

GoIsothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Formula

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

K T = \frac{1}{(\frac{1}{K S}) - (\frac{(Λ^{2}) \cdot T}{ρ \cdot C v})}

K_T - Isothermal Compressibility?K_S - Isentropic Compressibility?Λ - Thermal Pressure Coefficient?T - Temperature?ρ - Density?C_v - Molar Specific Heat Capacity at Constant Volume?

Isothermal Compressibility given Thermal Pressure Coefficient and Cv Example

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

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

Here is how the Isothermal Compressibility given Thermal Pressure Coefficient and Cv equation looks like.

70.0004 = \frac{1}{(\frac{1}{70}) - (\frac{({0.01}^{2}) \cdot 85}{997 \cdot 103})}

70.0004m²/N = \frac{1}{(\frac{1}{70m²/N}) - (\frac{({0.01Pa/K}^{2}) \cdot 85K}{997kg/m³ \cdot 103J/K*mol})}

70.0004 = \frac{1}{(\frac{1}{70}) - (\frac{({0.01}^{2}) \cdot 85}{997 \cdot 103})}

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Isothermal Compressibility given Thermal Pressure Coefficient and Cv Solution

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

FIRST Step Consider the formula

K T = \frac{1}{(\frac{1}{K S}) - (\frac{(Λ^{2}) \cdot T}{ρ \cdot C v})}

Next Step Substitute values of Variables

∴

K T = \frac{1}{(\frac{1}{70m²/N}) - (\frac{({0.01Pa/K}^{2}) \cdot 85K}{997kg/m³ \cdot 103J/K*mol})}

Next Step Prepare to Evaluate

∴

K T = \frac{1}{(\frac{1}{70}) - (\frac{({0.01}^{2}) \cdot 85}{997 \cdot 103})}

Next Step Evaluate

∴

K T = 70.0004055880391m²/N

LAST Step Rounding Answer

∴

K T = 70.0004m²/N

Isothermal Compressibility given Thermal Pressure Coefficient and Cv Formula Elements

Variables

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

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

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 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

Other Formulas to find Isothermal Compressibility

Go Isothermal Compressibility given Molar Heat Capacity Ratio

K T = γ \cdot K S

Go Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp

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

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

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

Go Isothermal Compressibility given Thermal Pressure Coefficient and Cp

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

Other formulas in Isothermal Compressibility category

Go Isothermal Compressibility given Relative Size of Fluctuations in Particle Density

K iso_comp = \frac{(\frac{ΔN 2}{V})}{[BoltZ] \cdot T \cdot (ρ^{2})}

How to Evaluate Isothermal Compressibility given Thermal Pressure Coefficient and Cv?

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

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

FAQs on Isothermal Compressibility given Thermal Pressure Coefficient and Cv

What is the formula to find Isothermal Compressibility given Thermal Pressure Coefficient and Cv?

The formula of Isothermal Compressibility given Thermal Pressure Coefficient and Cv is expressed as Isothermal Compressibility = 1/((1/Isentropic Compressibility)-(((Thermal Pressure Coefficient^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Volume))). Here is an example- 70.00041 = 1/((1/70)-(((0.01^2)*85)/(997*103))).

How to calculate Isothermal Compressibility given Thermal Pressure Coefficient and Cv?

With Isentropic Compressibility (K_S), Thermal Pressure Coefficient (Λ), Temperature (T), Density (ρ) & Molar Specific Heat Capacity at Constant Volume (C_v) we can find Isothermal Compressibility given Thermal Pressure Coefficient and Cv using the formula - Isothermal Compressibility = 1/((1/Isentropic Compressibility)-(((Thermal Pressure Coefficient^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Volume))).

What are the other ways to Calculate Isothermal Compressibility?

Here are the different ways to Calculate Isothermal Compressibility-

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

Can the Isothermal Compressibility given Thermal Pressure Coefficient and Cv be negative?

Yes, the Isothermal Compressibility given Thermal Pressure Coefficient and Cv, measured in Compressibility can be negative.

Which unit is used to measure Isothermal Compressibility given Thermal Pressure Coefficient and Cv?

Isothermal Compressibility given Thermal Pressure Coefficient 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 Isothermal Compressibility given Thermal Pressure Coefficient and Cv can be measured.

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Isothermal Compressibility given Thermal Pressure Coefficient and Cv Formula

​GoIsothermal Compressibility given Molar Heat Capacity Ratio Formula

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

Isothermal Compressibility given Thermal Pressure Coefficient and Cv Example

Isothermal Compressibility given Thermal Pressure Coefficient and Cv Solution

Isothermal Compressibility given Thermal Pressure Coefficient and Cv Formula Elements

Other Formulas to find Isothermal Compressibility

Other formulas in Isothermal Compressibility category

How to Evaluate Isothermal Compressibility given Thermal Pressure Coefficient and Cv?

FAQs on Isothermal Compressibility given Thermal Pressure Coefficient and Cv

Variable Name

GoIsothermal Compressibility given Molar Heat Capacity Ratio Formula

GoIsothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Formula