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Molar Heat Capacity at Constant Volume given Compressibility 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{K S}{K T}) \cdot C p

C_v - Molar Specific Heat Capacity at Constant Volume?K_S - Isentropic Compressibility?K_T - Isothermal Compressibility?C_p - Molar Specific Heat Capacity at Constant Pressure?

Molar Heat Capacity at Constant Volume given Compressibility Example

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

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

Here is how the Molar Heat Capacity at Constant Volume given Compressibility equation looks like.

113.8667 = (\frac{70}{75}) \cdot 122

113.8667J/K*mol = (\frac{70m²/N}{75m²/N}) \cdot 122J/K*mol

113.8667 = (\frac{70}{75}) \cdot 122

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Equipartition Principle and Heat Capacity » fx Molar Heat Capacity at Constant Volume given Compressibility

Molar Heat Capacity at Constant Volume given Compressibility Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C v = (\frac{70m²/N}{75m²/N}) \cdot 122J/K*mol

Next Step Prepare to Evaluate

∴

C v = (\frac{70}{75}) \cdot 122

Next Step Evaluate

∴

C v = 113.866666666667J/K*mol

LAST Step Rounding Answer

∴

C v = 113.8667J/K*mol

Molar Heat Capacity at Constant Volume given Compressibility 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

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

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

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 Volumetric Coefficient of Thermal Expansion

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

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 Compressibility?

Molar Heat Capacity at Constant Volume given Compressibility evaluator uses Molar Specific Heat Capacity at Constant Volume = (Isentropic Compressibility/Isothermal Compressibility)*Molar Specific Heat Capacity at Constant Pressure to evaluate the Molar Specific Heat Capacity at Constant Volume, The Molar Heat Capacity at constant Volume given Compressibility 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 Compressibility using this online evaluator? To use this online evaluator for Molar Heat Capacity at Constant Volume given Compressibility, enter Isentropic Compressibility (K_S), Isothermal Compressibility (K_T) & Molar Specific Heat Capacity at Constant Pressure (C_p) and hit the calculate button.

FAQs on Molar Heat Capacity at Constant Volume given Compressibility

What is the formula to find Molar Heat Capacity at Constant Volume given Compressibility?

The formula of Molar Heat Capacity at Constant Volume given Compressibility is expressed as Molar Specific Heat Capacity at Constant Volume = (Isentropic Compressibility/Isothermal Compressibility)*Molar Specific Heat Capacity at Constant Pressure. Here is an example- 113.8667 = (70/75)*122.

How to calculate Molar Heat Capacity at Constant Volume given Compressibility?

With Isentropic Compressibility (K_S), Isothermal Compressibility (K_T) & Molar Specific Heat Capacity at Constant Pressure (C_p) we can find Molar Heat Capacity at Constant Volume given Compressibility using the formula - Molar Specific Heat Capacity at Constant Volume = (Isentropic Compressibility/Isothermal Compressibility)*Molar Specific Heat Capacity at Constant Pressure.

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 Compressibility be negative?

No, the Molar Heat Capacity at Constant Volume given Compressibility, 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 Compressibility?

Molar Heat Capacity at Constant Volume given Compressibility 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 Compressibility can be measured.

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