Density given Thermal Pressure Coefficient, Compressibility Factors and Cp Solution

STEP 0: Pre-Calculation Summary
Formula Used
Density = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*(Molar Specific Heat Capacity at Constant Pressure-[R]))
ρ = ((Λ^2)*T)/(((1/KS)-(1/KT))*(Cp-[R]))
This formula uses 1 Constants, 6 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324 Joule / Kelvin * Mole
Variables Used
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.
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.
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
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
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
ρ = ((Λ^2)*T)/(((1/KS)-(1/KT))*(Cp-[R])) --> ((0.01^2)*85)/(((1/70)-(1/75))*(122-[R]))
Evaluating ... ...
ρ = 0.0785060281680575
STEP 3: Convert Result to Output's Unit
0.0785060281680575 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
0.0785060281680575 Kilogram per Cubic Meter <-- Density
(Calculation completed in 00.016 seconds)

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Created by Prerana Bakli
National Institute of Technology (NIT), Meghalaya
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Density = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*(Molar Specific Heat Capacity at Constant Pressure-[R]))
ρ = ((Λ^2)*T)/(((1/KS)-(1/KT))*(Cp-[R]))

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How to Calculate Density given Thermal Pressure Coefficient, Compressibility Factors and Cp?

Density given Thermal Pressure Coefficient, Compressibility Factors and Cp calculator uses Density = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*(Molar Specific Heat Capacity at Constant Pressure-[R])) to calculate the Density, The Density given thermal pressure coefficient, compressibility factors and Cp is defined as material mass per unit volume and designated by the symbol ρ (rho). Density is denoted by ρ symbol.

How to calculate Density given Thermal Pressure Coefficient, Compressibility Factors and Cp using this online calculator? To use this online calculator for Density given Thermal Pressure Coefficient, Compressibility Factors and Cp, enter Thermal Pressure Coefficient (Λ), Temperature (T), Isentropic Compressibility (KS), Isothermal Compressibility (KT) & Molar Specific Heat Capacity at Constant Pressure (Cp) and hit the calculate button. Here is how the Density given Thermal Pressure Coefficient, Compressibility Factors and Cp calculation can be explained with given input values -> 0.078506 = ((0.01^2)*85)/(((1/70)-(1/75))*(122-[R])).

FAQ

What is Density given Thermal Pressure Coefficient, Compressibility Factors and Cp?
The Density given thermal pressure coefficient, compressibility factors and Cp is defined as material mass per unit volume and designated by the symbol ρ (rho) and is represented as ρ = ((Λ^2)*T)/(((1/KS)-(1/KT))*(Cp-[R])) or Density = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*(Molar Specific Heat Capacity at Constant Pressure-[R])). 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 & 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 Density given Thermal Pressure Coefficient, Compressibility Factors and Cp?
The Density given thermal pressure coefficient, compressibility factors and Cp is defined as material mass per unit volume and designated by the symbol ρ (rho) is calculated using Density = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*(Molar Specific Heat Capacity at Constant Pressure-[R])). To calculate Density given Thermal Pressure Coefficient, Compressibility Factors and Cp, you need Thermal Pressure Coefficient (Λ), Temperature (T), Isentropic Compressibility (KS), Isothermal Compressibility (KT) & Molar Specific Heat Capacity at Constant Pressure (Cp). With our tool, you need to enter the respective value for Thermal Pressure Coefficient, Temperature, 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 Density?
In this formula, Density uses Thermal Pressure Coefficient, Temperature, 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 -
  • Density = 1/(Isentropic Compressibility*(Speed of Sound^2))
  • Density = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Pressure)
  • Density = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*(Molar Specific Heat Capacity at Constant Volume+[R]))
  • Density = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Molar Specific Heat Capacity at Constant Volume)
  • Density = sqrt(((Relative Size of Fluctuations/Volume))/([BoltZ]*Isothermal Compressibility*Temperature))
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