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Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv Formula

GoVolumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp Formula

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Volumetric Coefficient of Compressibility is the tendency of matter to change its volume in response to a change in temperature. Check FAQs

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

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

Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv Example

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

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

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

80.7977 = \sqrt{\frac{(75 - 70) \cdot 997 \cdot (103 + 8.3145)}{85}}

80.7977K⁻¹ = \sqrt{\frac{(75m²/N - 70m²/N) \cdot 997kg/m³ \cdot (103J/K*mol + 8.3145)}{85K}}

80.7977 = \sqrt{\frac{(75 - 70) \cdot 997 \cdot (103 + 8.3145)}{85}}

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Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

α comp = \sqrt{\frac{(75m²/N - 70m²/N) \cdot 997kg/m³ \cdot (103J/K*mol + [R])}{85K}}

Next Step Substitute values of Constants

∴

α comp = \sqrt{\frac{(75m²/N - 70m²/N) \cdot 997kg/m³ \cdot (103J/K*mol + 8.3145)}{85K}}

Next Step Prepare to Evaluate

∴

α comp = \sqrt{\frac{(75 - 70) \cdot 997 \cdot (103 + 8.3145)}{85}}

Next Step Evaluate

∴

α comp = 80.7976846021988K⁻¹

LAST Step Rounding Answer

∴

α comp = 80.7977K⁻¹

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

Variables

Constants

Functions

Volumetric Coefficient of Compressibility

Volumetric Coefficient of Compressibility is the tendency of matter to change its volume in response to a change in temperature.

Symbol: α_comp

Measurement: Thermal ExpansionUnit: K⁻¹

Note: Value can be positive or negative.

Formulas to find Volumetric Coefficient of 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

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Volumetric Coefficient of Compressibility

Go Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp

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

Other formulas in Important Calculator of Compressibility category

Go Compressibility Factor given Molar Volume of Gases

Z ktog = \frac{V m}{V m (ideal)}

Go Molar Volume of Real Gas given Compressibility Factor

V molar = z \cdot V m (ideal)

Go Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cp

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

Go Thermal Pressure Coefficient given Compressibility Factors and Cp

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

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

Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv evaluator uses Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]))/Temperature) to evaluate the Volumetric Coefficient of Compressibility, The Volumetric coefficient of thermal expansion given compressibility factors and Cv is given is the change in volume due to change in pressure at constant temperature. Volumetric Coefficient of Compressibility is denoted by α_comp symbol.

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

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

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

The formula of Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv is expressed as Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]))/Temperature). Here is an example- 80.79768 = sqrt(((75-70)*997*(103+[R]))/85).

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

With Isothermal Compressibility (K_T), Isentropic Compressibility (K_S), Density (ρ), Molar Specific Heat Capacity at Constant Volume (C_v) & Temperature (T) we can find Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv using the formula - Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]))/Temperature). This formula also uses Universal gas constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Volumetric Coefficient of Compressibility?

Here are the different ways to Calculate Volumetric Coefficient of Compressibility-

Volumetric Coefficient of Compressibility=sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/Temperature)

Can the Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv be negative?

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

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

Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv is usually measured using the 1 Per Kelvin[K⁻¹] for Thermal Expansion. 1 Per Rankine[K⁻¹], 1 Per Celsius[K⁻¹], 1 Per Fahrenheit[K⁻¹] are the few other units in which Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv can be measured.

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Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv Formula

​GoVolumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp Formula

Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv Example

Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv Solution

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

Other Formulas to find Volumetric Coefficient of Compressibility

Other formulas in Important Calculator of Compressibility category

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

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

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GoVolumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp Formula