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Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient 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{(Λ^{2}) \cdot T}{((\frac{1}{K S}) - (\frac{1}{K T})) \cdot ρ}

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

Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient Example

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

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

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

0.009 = \frac{({0.01}^{2}) \cdot 85}{((\frac{1}{70}) - (\frac{1}{75})) \cdot 997}

0.009J/K*mol = \frac{({0.01Pa/K}^{2}) \cdot 85K}{((\frac{1}{70m²/N}) - (\frac{1}{75m²/N})) \cdot 997kg/m³}

0.009 = \frac{({0.01}^{2}) \cdot 85}{((\frac{1}{70}) - (\frac{1}{75})) \cdot 997}

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Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C v = \frac{({0.01Pa/K}^{2}) \cdot 85K}{((\frac{1}{70m²/N}) - (\frac{1}{75m²/N})) \cdot 997kg/m³}

Next Step Prepare to Evaluate

∴

C v = \frac{({0.01}^{2}) \cdot 85}{((\frac{1}{70}) - (\frac{1}{75})) \cdot 997}

Next Step Evaluate

∴

C v = 0.00895185556670011J/K*mol

LAST Step Rounding Answer

∴

C v = 0.009J/K*mol

Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient Formula Elements

Variables

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

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

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

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

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

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 Thermal Pressure Coefficient?

Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient evaluator uses Molar Specific Heat Capacity at Constant Volume = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density) to evaluate the Molar Specific Heat Capacity at Constant Volume, The Molar Heat Capacity at constant Volume given thermal pressure coefficient 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 Thermal Pressure Coefficient using this online evaluator? To use this online evaluator for Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient, enter Thermal Pressure Coefficient (Λ), Temperature (T), Isentropic Compressibility (K_S), Isothermal Compressibility (K_T) & Density (ρ) and hit the calculate button.

FAQs on Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient

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

The formula of Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient is expressed as Molar Specific Heat Capacity at Constant Volume = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density). Here is an example- 0.008952 = ((0.01^2)*85)/(((1/70)-(1/75))*997).

How to calculate Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient?

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

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 Thermal Pressure Coefficient be negative?

No, the Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient, 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 Thermal Pressure Coefficient?

Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient 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 Thermal Pressure Coefficient can be measured.

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Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient 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 Thermal Pressure Coefficient Example

Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient Solution

Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient 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 Thermal Pressure Coefficient?

FAQs on Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient

Variable Name

GoMolar Heat Capacity at Constant Volume given Degree of Freedom Formula

GoMolar Heat Capacity at Constant Volume of Linear Molecule Formula