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Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp Formula

GoVolumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv 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 p}{T}}

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

Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp Example

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

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

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

84.5869 = \sqrt{\frac{(75 - 70) \cdot 997 \cdot 122}{85}}

84.5869K⁻¹ = \sqrt{\frac{(75m²/N - 70m²/N) \cdot 997kg/m³ \cdot 122J/K*mol}{85K}}

84.5869 = \sqrt{\frac{(75 - 70) \cdot 997 \cdot 122}{85}}

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Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

α comp = \sqrt{\frac{(75m²/N - 70m²/N) \cdot 997kg/m³ \cdot 122J/K*mol}{85K}}

Next Step Prepare to Evaluate

∴

α comp = \sqrt{\frac{(75 - 70) \cdot 997 \cdot 122}{85}}

Next Step Evaluate

∴

α comp = 84.5868853692497K⁻¹

LAST Step Rounding Answer

∴

α comp = 84.5869K⁻¹

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

Variables

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 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

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

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 Cv

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

Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp evaluator uses Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/Temperature) to evaluate the Volumetric Coefficient of Compressibility, The Volumetric coefficient of thermal expansion given compressibility factors and Cp is the tendency of matter to change its volume in response to a change in temperature. Volumetric Coefficient of Compressibility is denoted by α_comp symbol.

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

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

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

The formula of Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp is expressed as Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/Temperature). Here is an example- 84.58689 = sqrt(((75-70)*997*122)/85).

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

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

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

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

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

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

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Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp Formula

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

Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp Example

Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp Solution

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

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

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GoVolumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv Formula