Molar Heat Capacity at Constant Volume given Compressibility Calculator

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✖The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.ⓘ Isentropic Compressibility [K_S]			+10% -10%
✖The isothermal compressibility is the change in volume due to change in pressure at constant temperature.ⓘ Isothermal Compressibility [K_T]			+10% -10%
✖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.ⓘ Molar Specific Heat Capacity at Constant Pressure [C_p]			+10% -10%

✖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.ⓘ Molar Heat Capacity at Constant Volume given Compressibility [C_v]

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Formula

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Molar Heat Capacity at Constant Volume given Compressibility

Formula

`"C"_{"v"} = ("K"_{"S"}/"K"_{"T"})*"C"_{"p"}`

Example

`"113.8667J/K*mol"=("70m²/N"/"75m²/N")*"122J/K*mol"`

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Molar Heat Capacity at Constant Volume given Compressibility Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Specific Heat Capacity at Constant Volume = (Isentropic Compressibility/Isothermal Compressibility)*Molar Specific Heat Capacity at Constant Pressure
C_v = (K_S/K_T)*C_p
This formula uses 4 Variables

Variables Used

Molar Specific Heat Capacity at Constant Volume - (Measured in Joule Per Kelvin Per Mole) - 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.
Isentropic Compressibility - (Measured in Square Meter per Newton) - The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.
Isothermal Compressibility - (Measured in Square Meter per Newton) - The isothermal compressibility is the change in volume due to change in pressure at constant temperature.
Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - 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.

STEP 1: Convert Input(s) to Base Unit

Isentropic Compressibility: 70 Square Meter per Newton --> 70 Square Meter per Newton No Conversion Required
Isothermal Compressibility: 75 Square Meter per Newton --> 75 Square Meter per Newton No Conversion Required
Molar Specific Heat Capacity at Constant Pressure: 122 Joule Per Kelvin Per Mole --> 122 Joule Per Kelvin Per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_v = (K_S/K_T)*C_p --> (70/75)*122

Evaluating ... ...

C_v = 113.866666666667

STEP 3: Convert Result to Output's Unit

113.866666666667 Joule Per Kelvin Per Mole --> No Conversion Required

FINAL ANSWER

113.866666666667 ≈ 113.8667 Joule Per Kelvin Per Mole <-- Molar Specific Heat Capacity at Constant Volume

(Calculation completed in 00.004 seconds)

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< 12 Molar Heat Capacity Calculators

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

Go Molar Specific Heat Capacity at Constant Volume = (((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density))-[R]

Molar Heat Capacity at Constant Pressure given Thermal Pressure Coefficient

Go Molar Specific Heat Capacity at Constant Pressure = (((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density))+[R]

Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion

Go Molar Specific Heat Capacity at Constant Pressure = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density)

Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient

Go Molar Specific Heat Capacity at Constant Volume = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density)

Molar Heat Capacity at Constant Pressure given Compressibility

Go Molar Specific Heat Capacity at Constant Pressure = (Isothermal Compressibility/Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Volume

Molar Heat Capacity at Constant Volume given Compressibility

Go Molar Specific Heat Capacity at Constant Volume = (Isentropic Compressibility/Isothermal Compressibility)*Molar Specific Heat Capacity at Constant Pressure

Molar Heat Capacity at Constant Pressure given Degree of Freedom

Go Molar Specific Heat Capacity at Constant Pressure = ((Degree of Freedom*[R])/2)+[R]

Molar Heat Capacity at Constant Pressure of Linear Molecule

Go Molar Specific Heat Capacity at Constant Pressure = (((3*Atomicity)-2.5)*[R])+[R]

Molar Heat Capacity at Constant Pressure of Non-Linear Molecule

Go Molar Specific Heat Capacity at Constant Pressure = (((3*Atomicity)-3)*[R])+[R]

Molar Heat Capacity at Constant Volume given Degree of Freedom

Go Molar Specific Heat Capacity at Constant Volume = (Degree of Freedom*[R])/2

Molar Heat Capacity at Constant Volume of Linear Molecule

Go Molar Specific Heat Capacity at Constant Volume = ((3*Atomicity)-2.5)*[R]

Molar Heat Capacity at Constant Volume of Non-Linear Molecule

Go Molar Specific Heat Capacity at Constant Volume = ((3*Atomicity)-3)*[R]

Molar Heat Capacity at Constant Volume given Compressibility Formula

Molar Specific Heat Capacity at Constant Volume = (Isentropic Compressibility/Isothermal Compressibility)*Molar Specific Heat Capacity at Constant Pressure
C_v = (K_S/K_T)*C_p

What are the postulates of kinetic theory of gases?

1) Actual volume of gas molecules is negligible in comparison to the total volume of the gas. 2) no force of attraction between the gas molecules. 3) Particles of gas are in constant random motion. 4) Particles of gas collide with each other and with the walls of the container. 5)Collisions are perfectly elastic. 6) Different particles of the gas, have different speeds. 7) The average kinetic energy of the gas molecule is directly proportional to the absolute temperature.

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

Molar Heat Capacity at Constant Volume given Compressibility calculator uses Molar Specific Heat Capacity at Constant Volume = (Isentropic Compressibility/Isothermal Compressibility)*Molar Specific Heat Capacity at Constant Pressure to calculate 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 calculate Molar Heat Capacity at Constant Volume given Compressibility using this online calculator? To use this online calculator 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. Here is how the Molar Heat Capacity at Constant Volume given Compressibility calculation can be explained with given input values -> 113.8667 = (70/75)*122.

FAQ

What is Molar Heat Capacity at Constant Volume given Compressibility?

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 and is represented as C_v = (K_S/K_T)*C_p or Molar Specific Heat Capacity at Constant Volume = (Isentropic Compressibility/Isothermal Compressibility)*Molar Specific Heat Capacity at Constant Pressure. The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy, The isothermal compressibility is the change in volume due to change in pressure at constant temperature & 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.

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

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 is calculated using Molar Specific Heat Capacity at Constant Volume = (Isentropic Compressibility/Isothermal Compressibility)*Molar Specific Heat Capacity at Constant Pressure. To calculate Molar Heat Capacity at Constant Volume given Compressibility, you need Isentropic Compressibility (K_S), Isothermal Compressibility (K_T) & Molar Specific Heat Capacity at Constant Pressure (C_p). With our tool, you need to enter the respective value for Isentropic Compressibility, Isothermal Compressibility & Molar Specific Heat Capacity at Constant Pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Molar Specific Heat Capacity at Constant Volume?

In this formula, Molar Specific Heat Capacity at Constant Volume uses Isentropic Compressibility, Isothermal Compressibility & Molar Specific Heat Capacity at Constant Pressure. We can use 5 other way(s) to calculate the same, which is/are as follows -

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]
Molar Specific Heat Capacity at Constant Volume = (((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density))-[R]
Molar Specific Heat Capacity at Constant Volume = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density)

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