Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Molar Specific Heat Capacity at Constant Volume = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density)
Cv = ((Λ^2)*T)/(((1/KS)-(1/KT))*ρ)
This formula uses 6 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.
Thermal Pressure Coefficient - (Measured in Pascal per Kelvin) - 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.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
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.
Density - (Measured in Kilogram per Cubic Meter) - 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.
STEP 1: Convert Input(s) to Base Unit
Thermal Pressure Coefficient: 0.01 Pascal per Kelvin --> 0.01 Pascal per Kelvin No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
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
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cv = ((Λ^2)*T)/(((1/KS)-(1/KT))*ρ) --> ((0.01^2)*85)/(((1/70)-(1/75))*997)
Evaluating ... ...
Cv = 0.00895185556670011
STEP 3: Convert Result to Output's Unit
0.00895185556670011 Joule Per Kelvin Per Mole --> No Conversion Required
FINAL ANSWER
0.00895185556670011 0.008952 Joule Per Kelvin Per Mole <-- Molar Specific Heat Capacity at Constant Volume
(Calculation completed in 00.004 seconds)

Credits

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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National Institute of Information Technology (NIIT), Neemrana
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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 Thermal Pressure Coefficient Formula

Molar Specific Heat Capacity at Constant Volume = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density)
Cv = ((Λ^2)*T)/(((1/KS)-(1/KT))*ρ)

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 Thermal Pressure Coefficient?

Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient calculator uses Molar Specific Heat Capacity at Constant Volume = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density) to calculate 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 Cv symbol.

How to calculate Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient using this online calculator? To use this online calculator for Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient, enter Thermal Pressure Coefficient (Λ), Temperature (T), Isentropic Compressibility (KS), Isothermal Compressibility (KT) & Density (ρ) and hit the calculate button. Here is how the Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient calculation can be explained with given input values -> 0.008952 = ((0.01^2)*85)/(((1/70)-(1/75))*997).

FAQ

What is Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient?
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 and is represented as Cv = ((Λ^2)*T)/(((1/KS)-(1/KT))*ρ) or Molar Specific Heat Capacity at Constant Volume = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density). 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, Temperature is the degree or intensity of heat present in a substance or object, 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 & 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.
How to calculate Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient?
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 is calculated using Molar Specific Heat Capacity at Constant Volume = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density). To calculate Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient, you need Thermal Pressure Coefficient (Λ), Temperature (T), Isentropic Compressibility (KS), Isothermal Compressibility (KT) & Density (ρ). With our tool, you need to enter the respective value for Thermal Pressure Coefficient, Temperature, Isentropic Compressibility, Isothermal Compressibility & Density 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 Thermal Pressure Coefficient, Temperature, Isentropic Compressibility, Isothermal Compressibility & Density. 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 = (Isentropic Compressibility/Isothermal Compressibility)*Molar Specific Heat Capacity at Constant Pressure
  • Molar Specific Heat Capacity at Constant Volume = (((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density))-[R]
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