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Thermal Pressure Coefficient given Compressibility Factors and Cv Calculator

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Important Calculator of Compressibility Isentropic Compressibility Isothermal Compressibility

✖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%
✖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.ⓘ Density [ρ]			+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%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%

✖Coefficient of Thermal Pressure is a measure of the relative pressure change of a fluid or a solid as a response to a temperature change at constant volume.ⓘ Thermal Pressure Coefficient given Compressibility Factors and Cv [Λ_coeff]

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Thermal Pressure Coefficient given Compressibility Factors and Cv Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Thermal Pressure = sqrt((((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/Temperature)
Λ_coeff = sqrt((((1/K_S)-(1/K_T))*ρ*C_v)/T)
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Coefficient of Thermal Pressure - (Measured in Pascal per Kelvin) - Coefficient of Thermal Pressure is a measure of the relative pressure change of a fluid or a solid as a response to a temperature change at 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.
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.
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.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.

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
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter 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
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Λ_coeff = sqrt((((1/K_S)-(1/K_T))*ρ*C_v)/T) --> sqrt((((1/70)-(1/75))*997*103)/85)

Evaluating ... ...

Λ_coeff = 1.07265998330128

STEP 3: Convert Result to Output's Unit

1.07265998330128 Pascal per Kelvin --> No Conversion Required

FINAL ANSWER

1.07265998330128 ≈ 1.07266 Pascal per Kelvin <-- Coefficient of Thermal Pressure

(Calculation completed in 00.007 seconds)

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Thermal Pressure Coefficient given Compressibility Factors and Cv Formula

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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 Thermal Pressure Coefficient given Compressibility Factors and Cv?

Thermal Pressure Coefficient given Compressibility Factors and Cv calculator uses Coefficient of Thermal Pressure = sqrt((((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/Temperature) to calculate the Coefficient of Thermal Pressure, The Thermal pressure coefficient given compressibility factors and Cv is a measure of the relative pressure change of a fluid or a solid as a response to a temperature change at constant volume. Coefficient of Thermal Pressure is denoted by Λ_coeff symbol.

How to calculate Thermal Pressure Coefficient given Compressibility Factors and Cv using this online calculator? To use this online calculator for Thermal Pressure Coefficient given Compressibility Factors and Cv, enter Isentropic Compressibility (K_S), Isothermal Compressibility (K_T), Density (ρ), Molar Specific Heat Capacity at Constant Volume (C_v) & Temperature (T) and hit the calculate button. Here is how the Thermal Pressure Coefficient given Compressibility Factors and Cv calculation can be explained with given input values -> 1.07266 = sqrt((((1/70)-(1/75))*997*103)/85).

FAQ

What is Thermal Pressure Coefficient given Compressibility Factors and Cv?

The Thermal pressure coefficient given compressibility factors and Cv is a measure of the relative pressure change of a fluid or a solid as a response to a temperature change at constant volume and is represented as Λ_coeff = sqrt((((1/K_S)-(1/K_T))*ρ*C_v)/T) or Coefficient of Thermal Pressure = sqrt((((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/Temperature). 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, 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 & Temperature is the degree or intensity of heat present in a substance or object.

How to calculate Thermal Pressure Coefficient given Compressibility Factors and Cv?

The Thermal pressure coefficient given compressibility factors and Cv is a measure of the relative pressure change of a fluid or a solid as a response to a temperature change at constant volume is calculated using Coefficient of Thermal Pressure = sqrt((((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/Temperature). To calculate Thermal Pressure Coefficient given Compressibility Factors and Cv, you need Isentropic Compressibility (K_S), Isothermal Compressibility (K_T), Density (ρ), Molar Specific Heat Capacity at Constant Volume (C_v) & Temperature (T). With our tool, you need to enter the respective value for Isentropic Compressibility, Isothermal Compressibility, Density, Molar Specific Heat Capacity at Constant Volume & Temperature 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 Coefficient of Thermal Pressure?

In this formula, Coefficient of Thermal Pressure uses Isentropic Compressibility, Isothermal Compressibility, Density, Molar Specific Heat Capacity at Constant Volume & Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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