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

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

Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cv Example

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

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

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

70.4787 = 70 + (\frac{(25^{2}) \cdot 85}{997 \cdot (103 + 8.3145)})

70.4787m²/N = 70m²/N + (\frac{({25K⁻¹}^{2}) \cdot 85K}{997kg/m³ \cdot (103J/K*mol + 8.3145)})

70.4787 = 70 + (\frac{(25^{2}) \cdot 85}{997 \cdot (103 + 8.3145)})

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Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cv Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K T = 70m²/N + (\frac{({25K⁻¹}^{2}) \cdot 85K}{997kg/m³ \cdot (103J/K*mol + [R])})

Next Step Substitute values of Constants

∴

K T = 70m²/N + (\frac{({25K⁻¹}^{2}) \cdot 85K}{997kg/m³ \cdot (103J/K*mol + 8.3145)})

Next Step Prepare to Evaluate

∴

K T = 70 + (\frac{(25^{2}) \cdot 85}{997 \cdot (103 + 8.3145)})

Next Step Evaluate

∴

K T = 70.478687614443m²/N

LAST Step Rounding Answer

∴

K T = 70.4787m²/N

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

Variables

Constants

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

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 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 Volumetric Coefficient of Thermal Expansion and Cv?

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

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

The formula of Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cv is expressed as Isothermal Compressibility = Isentropic Compressibility+(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Volume+[R]))). Here is an example- 70.47869 = 70+(((25^2)*85)/(997*(103+[R]))).

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

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

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

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

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

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Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion 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 Volumetric Coefficient of Thermal Expansion and Cv Example

Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cv Solution

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

Other Formulas to find Isothermal Compressibility

Other formulas in Isothermal Compressibility category

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

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

Variable Name

GoIsothermal Compressibility given Molar Heat Capacity Ratio Formula

GoIsothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Formula