Molar Heat Capacity at Constant Pressure given Compressibility Calculator

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

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Formula

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Molar Heat Capacity at Constant Pressure given Compressibility

Formula

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

Example

`"110.3571J/K*mol"=("75m²/N"/"70m²/N")*"103J/K*mol"`

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Molar Heat Capacity at Constant Pressure given Compressibility Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Isothermal Compressibility - (Measured in Square Meter per Newton) - The isothermal compressibility is the change in volume due to change in pressure at constant temperature.
Isentropic Compressibility - (Measured in Square Meter per Newton) - The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.
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.

STEP 1: Convert Input(s) to Base Unit

Isothermal Compressibility: 75 Square Meter per Newton --> 75 Square Meter per Newton No Conversion Required
Isentropic Compressibility: 70 Square Meter per Newton --> 70 Square Meter per Newton No Conversion Required
Molar Specific Heat Capacity at Constant Volume: 103 Joule Per Kelvin Per Mole --> 103 Joule Per Kelvin Per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = (K_T/K_S)*C_v --> (75/70)*103

Evaluating ... ...

C_p = 110.357142857143

STEP 3: Convert Result to Output's Unit

110.357142857143 Joule Per Kelvin Per Mole --> No Conversion Required

FINAL ANSWER

110.357142857143 ≈ 110.3571 Joule Per Kelvin Per Mole <-- Molar Specific Heat Capacity at Constant Pressure

(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]

< 20 Important Formulae on Equipartition Principle and Heat Capacity Calculators

Internal Molar Energy of Non-Linear Molecule

Go Molar Internal Energy = ((3/2)*[R]*Temperature)+((0.5*Moment of Inertia along Y-axis*(Angular Velocity along Y-axis^2))+(0.5*Moment of Inertia along Z-axis*(Angular Velocity along Z-axis^2))+(0.5*Moment of Inertia along X-axis*(Angular Velocity along X-axis^2)))+((3*Atomicity)-6)*([R]*Temperature)

Internal Molar Energy of Linear Molecule

Atomicity given Molar Heat Capacity at Constant Pressure and Volume of Linear Molecule

Go Atomicity = ((2.5*( Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-1.5)/((3*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-3)

Translational Energy

Go Translational Energy = ((Momentum along X-axis^2)/(2*Mass))+((Momentum along Y-axis^2)/(2*Mass))+((Momentum along Z-axis^2)/(2*Mass))

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

Ratio of Molar Heat Capacity of Linear Molecule

Go Ratio of Molar Heat Capacity = ((((3*Atomicity)-2.5)*[R])+[R])/(((3*Atomicity)-2.5)*[R])

Average Thermal Energy of Non-linear polyatomic Gas Molecule given Atomicity

Go Thermal Energy given Atomicity = ((6*Atomicity)-6)*(0.5*[BoltZ]*Temperature)

Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity

Go Thermal Energy given Atomicity = ((6*Atomicity)-5)*(0.5*[BoltZ]*Temperature)

Total Kinetic Energy

Go Total Energy = Translational Energy+Rotational Energy+Vibrational Energy

Internal Molar Energy of Non-Linear Molecule given Atomicity

Go Molar Internal Energy = ((6*Atomicity)-6)*(0.5*[R]*Temperature)

Internal Molar Energy of Linear Molecule given Atomicity

Go Molar Internal Energy = ((6*Atomicity)-5)*(0.5*[R]*Temperature)

Atomicity given Molar Vibrational Energy of Non-Linear Molecule

Go Atomicity = ((Molar Vibrational Energy/([R]*Temperature))+6)/3

Molar Vibrational Energy of Non-Linear Molecule

Go Vibrational Molar Energy = ((3*Atomicity)-6)*([R]*Temperature)

Molar Vibrational Energy of Linear Molecule

Go Vibrational Molar Energy = ((3*Atomicity)-5)*([R]*Temperature)

Atomicity given Ratio of Molar Heat Capacity of Linear Molecule

Go Atomicity = ((2.5*Ratio of Molar Heat Capacity)-1.5)/((3*Ratio of Molar Heat Capacity)-3)

Number of Modes in Non-Linear Molecule

Go Number of Normal modes for Non Linear = (6*Atomicity)-6

Ratio of Molar Heat Capacity given Degree of Freedom

Go Ratio of Molar Heat Capacity = 1+(2/Degree of Freedom)

Degree of Freedom given Ratio of Molar Heat Capacity

Go Degree of Freedom = 2/(Ratio of Molar Heat Capacity-1)

Vibrational Mode of Linear Molecule

Go Number of Normal modes = (3*Atomicity)-5

Atomicity given Vibrational Degree of Freedom in Non-Linear Molecule

Go Atomicity = (Degree of Freedom+6)/3

Molar Heat Capacity at Constant Pressure given Compressibility Formula

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

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 Pressure given Compressibility?

Molar Heat Capacity at Constant Pressure given Compressibility calculator uses Molar Specific Heat Capacity at Constant Pressure = (Isothermal Compressibility/Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Volume to calculate the Molar Specific Heat Capacity at Constant Pressure, The Molar Heat Capacity at constant Pressure given Compressibility is the amount of heat required to raise the temperature of 1 mole of the gas by 1 °C at the constant pressure. Molar Specific Heat Capacity at Constant Pressure is denoted by C_p symbol.

How to calculate Molar Heat Capacity at Constant Pressure given Compressibility using this online calculator? To use this online calculator for Molar Heat Capacity at Constant Pressure given Compressibility, enter Isothermal Compressibility (K_T), Isentropic Compressibility (K_S) & Molar Specific Heat Capacity at Constant Volume (C_v) and hit the calculate button. Here is how the Molar Heat Capacity at Constant Pressure given Compressibility calculation can be explained with given input values -> 110.3571 = (75/70)*103.

FAQ

What is Molar Heat Capacity at Constant Pressure given Compressibility?

The Molar Heat Capacity at constant Pressure given Compressibility is the amount of heat required to raise the temperature of 1 mole of the gas by 1 °C at the constant pressure and is represented as C_p = (K_T/K_S)*C_v or Molar Specific Heat Capacity at Constant Pressure = (Isothermal Compressibility/Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Volume. The isothermal compressibility is the change in volume due to change in pressure at constant temperature, The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy & 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.

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

The Molar Heat Capacity at constant Pressure given Compressibility is the amount of heat required to raise the temperature of 1 mole of the gas by 1 °C at the constant pressure is calculated using Molar Specific Heat Capacity at Constant Pressure = (Isothermal Compressibility/Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Volume. To calculate Molar Heat Capacity at Constant Pressure given Compressibility, you need Isothermal Compressibility (K_T), Isentropic Compressibility (K_S) & Molar Specific Heat Capacity at Constant Volume (C_v). With our tool, you need to enter the respective value for Isothermal Compressibility, Isentropic Compressibility & Molar Specific Heat Capacity at Constant Volume 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 Pressure?

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

Molar Specific Heat Capacity at Constant Pressure = ((Degree of Freedom*[R])/2)+[R]
Molar Specific Heat Capacity at Constant Pressure = (((3*Atomicity)-2.5)*[R])+[R]
Molar Specific Heat Capacity at Constant Pressure = (((3*Atomicity)-3)*[R])+[R]
Molar Specific Heat Capacity at Constant Pressure = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density)
Molar Specific Heat Capacity at Constant Pressure = (((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density))+[R]

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