Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp Calculator

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✖Volumetric coefficient of thermal expansion is the tendency of matter to change its volume in response to a change in temperature.ⓘ Volumetric Coefficient of Thermal Expansion [α]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+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 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 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 Specific Heat Capacity at Constant Pressure [C_p]			+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 given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp [ρ]

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Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp

Formula

`"ρ" = (("α"^2)*"T")/(("K"_{"T"}-"K"_{"S"})*"C"_{"p"})`

Example

`"1.4E^-7kg/m³"=((("0.001K⁻¹")^2)*"85K")/(("75m²/N"-"70m²/N")*"122J/K*mol")`

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Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Pressure)
ρ = ((α^2)*T)/((K_T-K_S)*C_p)
This formula uses 6 Variables

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.
Volumetric Coefficient of Thermal Expansion - (Measured in 1 Per Kelvin) - Volumetric coefficient of thermal expansion is the tendency of matter to change its volume in response to a change in temperature.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
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 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

Volumetric Coefficient of Thermal Expansion: 0.001 1 Per Kelvin --> 0.001 1 Per Kelvin No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
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 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 = ((α^2)*T)/((K_T-K_S)*C_p) --> ((0.001^2)*85)/((75-70)*122)

Evaluating ... ...

ρ = 1.39344262295082E-07

STEP 3: Convert Result to Output's Unit

1.39344262295082E-07 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

1.39344262295082E-07 Kilogram per Cubic Meter <-- Density

(Calculation completed in 00.000 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Density of Gas » Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp

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< 13 Density of Gas Calculators

Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv

Go Density = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*(Molar Specific Heat Capacity at Constant Volume+[R]))

Density given Thermal Pressure Coefficient, Compressibility Factors and Cp

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

Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp

Go Density = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Pressure)

Density given Thermal Pressure Coefficient, Compressibility Factors and Cv

Go Density = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Molar Specific Heat Capacity at Constant Volume)

Density given Relative Size of Fluctuations in Particle Density

Go Density = sqrt(((Relative Size of Fluctuations/Volume))/([BoltZ]*Isothermal Compressibility*Temperature))

Density of Gas given Average Velocity and Pressure in 2D

Go Density of Gas = (pi*Pressure of Gas)/(2*((Average Velocity of Gas)^2))

Density of Gas given Average Velocity and Pressure

Go Density of Gas = (8*Pressure of Gas)/(pi*((Average Velocity of Gas)^2))

Density of Gas given Root Mean Square Speed and Pressure in 2D

Go Density of Gas = (2*Pressure of Gas)/((Root Mean Square Speed)^2)

Density of Gas given Root Mean Square Speed and Pressure

Go Density of Gas = (3*Pressure of Gas)/((Root Mean Square Speed)^2)

Density of Gas given Most Probable Speed Pressure

Go Density of Gas = (2*Pressure of Gas)/((Most Probable Velocity)^2)

Density of Gas given Root Mean Square Speed and Pressure in 1D

Go Density of Gas = (Pressure of Gas)/((Root Mean Square Speed)^2)

Density of Gas given Most Probable Speed Pressure in 2D

Go Density of Gas = (Pressure of Gas)/((Most Probable Velocity)^2)

Density of Material given Isentropic Compressibility

Go Density = 1/(Isentropic Compressibility*(Speed of Sound^2))

Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp 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 Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp?

Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp calculator uses Density = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Pressure) to calculate the Density, The Density given volumetric coefficient of thermal expansion, 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 Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp using this online calculator? To use this online calculator for Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp, enter Volumetric Coefficient of Thermal Expansion (α), Temperature (T), Isothermal Compressibility (K_T), Isentropic Compressibility (K_S) & Molar Specific Heat Capacity at Constant Pressure (C_p) and hit the calculate button. Here is how the Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp calculation can be explained with given input values -> 1.4E-7 = ((0.001^2)*85)/((75-70)*122).

FAQ

What is Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp?

The Density given volumetric coefficient of thermal expansion, compressibility factors and Cp is defined as material mass per unit volume and designated by the symbol ρ (rho) and is represented as ρ = ((α^2)*T)/((K_T-K_S)*C_p) or Density = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Pressure). Volumetric coefficient of thermal expansion is the tendency of matter to change its volume in response to a change in temperature, Temperature is the degree or intensity of heat present in a substance or object, 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 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 Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp?

The Density given volumetric coefficient of thermal expansion, compressibility factors and Cp is defined as material mass per unit volume and designated by the symbol ρ (rho) is calculated using Density = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Pressure). To calculate Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp, you need Volumetric Coefficient of Thermal Expansion (α), Temperature (T), Isothermal Compressibility (K_T), Isentropic Compressibility (K_S) & Molar Specific Heat Capacity at Constant Pressure (C_p). With our tool, you need to enter the respective value for Volumetric Coefficient of Thermal Expansion, Temperature, Isothermal Compressibility, Isentropic 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 Volumetric Coefficient of Thermal Expansion, Temperature, Isothermal Compressibility, Isentropic 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 = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*(Molar Specific Heat Capacity at Constant Pressure-[R]))
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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