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Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion Formula

GoMolar Heat Capacity at Constant Volume given Degree of Freedom Formula

GoMolar Heat Capacity at Constant Volume of Linear Molecule Formula

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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. Check FAQs

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

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

Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion Example

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Here is how the Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion equation looks like with Values.

Here is how the Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion equation looks like with Units.

Here is how the Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion equation looks like.

2.3425 = (\frac{(25^{2}) \cdot 85}{(75 - 70) \cdot 997}) - 8.3145

2.3425J/K*mol = (\frac{({25K⁻¹}^{2}) \cdot 85K}{(75m²/N - 70m²/N) \cdot 997kg/m³}) - 8.3145

2.3425 = (\frac{(25^{2}) \cdot 85}{(75 - 70) \cdot 997}) - 8.3145

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Equipartition Principle and Heat Capacity » fx Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion

Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion Solution

Follow our step by step solution on how to calculate Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C v = (\frac{({25K⁻¹}^{2}) \cdot 85K}{(75m²/N - 70m²/N) \cdot 997kg/m³}) - [R]

Next Step Substitute values of Constants

∴

C v = (\frac{({25K⁻¹}^{2}) \cdot 85K}{(75m²/N - 70m²/N) \cdot 997kg/m³}) - 8.3145

Next Step Prepare to Evaluate

∴

C v = (\frac{(25^{2}) \cdot 85}{(75 - 70) \cdot 997}) - 8.3145

Next Step Evaluate

∴

C v = 2.34250829458498J/K*mol

LAST Step Rounding Answer

∴

C v = 2.3425J/K*mol

Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion Formula Elements

Variables

Constants

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

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

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

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 Molar Specific Heat Capacity at Constant Volume

Go Molar Heat Capacity at Constant Volume given Degree of Freedom

C v = \frac{F \cdot [R]}{2}

Go Molar Heat Capacity at Constant Volume of Linear Molecule

C v = ((3 \cdot N) - 2.5) \cdot [R]

Go Molar Heat Capacity at Constant Volume of Non-Linear Molecule

C v = ((3 \cdot N) - 3) \cdot [R]

Go Molar Heat Capacity at Constant Volume given Compressibility

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

Other formulas in Molar Heat Capacity category

Go Molar Heat Capacity at Constant Pressure given Degree of Freedom

C p = (\frac{F \cdot [R]}{2}) + [R]

Go Molar Heat Capacity at Constant Pressure of Linear Molecule

C p = (((3 \cdot N) - 2.5) \cdot [R]) + [R]

Go Molar Heat Capacity at Constant Pressure of Non-Linear Molecule

C p = (((3 \cdot N) - 3) \cdot [R]) + [R]

Go Molar Heat Capacity at Constant Pressure given Compressibility

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

How to Evaluate Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion?

Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion evaluator uses Molar Specific Heat Capacity at Constant Volume = (((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density))-[R] to evaluate the Molar Specific Heat Capacity at Constant Volume, The Molar Heat Capacity at constant Volume given volumetric coefficient of thermal expansion is the amount of heat required to raise the temperature of 1 mole of the gas by 1 °C at the constant volume. Molar Specific Heat Capacity at Constant Volume is denoted by C_v symbol.

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

FAQs on Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion

What is the formula to find Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion?

The formula of Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion is expressed as Molar Specific Heat Capacity at Constant Volume = (((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density))-[R]. Here is an example- 2.342508 = (((25^2)*85)/((75-70)*997))-[R].

How to calculate Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion?

With Volumetric Coefficient of Thermal Expansion (α), Temperature (T), Isothermal Compressibility (K_T), Isentropic Compressibility (K_S) & Density (ρ) we can find Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion using the formula - Molar Specific Heat Capacity at Constant Volume = (((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density))-[R]. This formula also uses Universal gas constant .

What are the other ways to Calculate Molar Specific Heat Capacity at Constant Volume?

Here are the different ways to Calculate Molar Specific Heat Capacity at Constant Volume-

Molar Specific Heat Capacity at Constant Volume=(Degree of Freedom*[R])/2
Molar Specific Heat Capacity at Constant Volume=((3*Atomicity)-2.5)*[R]
Molar Specific Heat Capacity at Constant Volume=((3*Atomicity)-3)*[R]

Can the Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion be negative?

No, the Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion, measured in Molar Specific Heat Capacity at Constant Volume cannot be negative.

Which unit is used to measure Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion?

Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion is usually measured using the Joule Per Kelvin Per Mole[J/K*mol] for Molar Specific Heat Capacity at Constant Volume. Joule Per Fahrenheit Per Mole[J/K*mol], Joule Per Celsius Per Mole[J/K*mol], Joule Per Reaumur Per Mole[J/K*mol] are the few other units in which Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion can be measured.

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Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion Formula

​GoMolar Heat Capacity at Constant Volume given Degree of Freedom Formula

​GoMolar Heat Capacity at Constant Volume of Linear Molecule Formula

Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion Example

Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion Solution

Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion Formula Elements

Other Formulas to find Molar Specific Heat Capacity at Constant Volume

Other formulas in Molar Heat Capacity category

How to Evaluate Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion?

FAQs on Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion

Variable Name

GoMolar Heat Capacity at Constant Volume given Degree of Freedom Formula

GoMolar Heat Capacity at Constant Volume of Linear Molecule Formula