Density given Thermal Pressure Coefficient, Compressibility Factors and Cv Calculator

✖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.ⓘ Thermal Pressure Coefficient [Λ]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [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%
✖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 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%

✖Density given TPC 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 given Thermal Pressure Coefficient, Compressibility Factors and Cv [ρ_TPC]

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Density given Thermal Pressure Coefficient, Compressibility Factors and Cv

Formula

`"ρ"_{"TPC"} = (("Λ"^2)*"T")/(((1/"K"_{"S"})-(1/"K"_{"T"}))*"C"_{"v"})`

Example

`"0.08665kg/m³"=((("0.01Pa/K")^2)*"85K")/(((1/"70m²/N")-(1/"75m²/N"))*"103J/K*mol")`

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Density given Thermal Pressure Coefficient, Compressibility Factors and Cv Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density given TPC = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Molar Specific Heat Capacity at Constant Volume)
ρ_TPC = ((Λ^2)*T)/(((1/K_S)-(1/K_T))*C_v)
This formula uses 6 Variables

Variables Used

Density given TPC - (Measured in Kilogram per Cubic Meter) - Density given TPC 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 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

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 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

ρ_TPC = ((Λ^2)*T)/(((1/K_S)-(1/K_T))*C_v) --> ((0.01^2)*85)/(((1/70)-(1/75))*103)

Evaluating ... ...

ρ_TPC = 0.0866504854368933

STEP 3: Convert Result to Output's Unit

0.0866504854368933 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

0.0866504854368933 ≈ 0.08665 Kilogram per Cubic Meter <-- Density given TPC

(Calculation completed in 00.004 seconds)

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Density given Thermal Pressure Coefficient, Compressibility Factors and Cv Formula

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 Density given Thermal Pressure Coefficient, Compressibility Factors and Cv?

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

How to calculate Density given Thermal Pressure Coefficient, Compressibility Factors and Cv using this online calculator? To use this online calculator for Density given Thermal Pressure Coefficient, Compressibility Factors and Cv, enter Thermal Pressure Coefficient (Λ), Temperature (T), Isentropic Compressibility (K_S), Isothermal Compressibility (K_T) & Molar Specific Heat Capacity at Constant Volume (C_v) and hit the calculate button. Here is how the Density given Thermal Pressure Coefficient, Compressibility Factors and Cv calculation can be explained with given input values -> 0.08665 = ((0.01^2)*85)/(((1/70)-(1/75))*103).

FAQ

What is Density given Thermal Pressure Coefficient, Compressibility Factors and Cv?

The Density given thermal pressure coefficient, compressibility factors and Cv is defined as material mass per unit volume and designated by the symbol ρ (rho) and is represented as ρ_TPC = ((Λ^2)*T)/(((1/K_S)-(1/K_T))*C_v) or Density given TPC = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Molar Specific Heat Capacity at Constant Volume). 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 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 Density given Thermal Pressure Coefficient, Compressibility Factors and Cv?

The Density given thermal pressure coefficient, compressibility factors and Cv is defined as material mass per unit volume and designated by the symbol ρ (rho) is calculated using Density given TPC = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Molar Specific Heat Capacity at Constant Volume). To calculate Density given Thermal Pressure Coefficient, Compressibility Factors and Cv, you need Thermal Pressure Coefficient (Λ), Temperature (T), Isentropic Compressibility (K_S), Isothermal Compressibility (K_T) & Molar Specific Heat Capacity at Constant Volume (C_v). 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 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 Density given TPC?

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

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

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