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Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv 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 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 VC 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 Cv [ρ_vC]

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

STEP 0: Pre-Calculation Summary

Formula Used

Density given VC = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*(Molar Specific Heat Capacity at Constant Volume+[R]))
ρ_vC = ((α^2)*T)/((K_T-K_S)*(C_v+[R]))
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

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

Volumetric Coefficient of Thermal Expansion: 25 1 Per Kelvin --> 25 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 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_vC = ((α^2)*T)/((K_T-K_S)*(C_v+[R])) --> ((25^2)*85)/((75-70)*(103+[R]))

Evaluating ... ...

ρ_vC = 95.4503103199392

STEP 3: Convert Result to Output's Unit

95.4503103199392 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

95.4503103199392 ≈ 95.45031 Kilogram per Cubic Meter <-- Density given VC

(Calculation completed in 00.008 seconds)

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

Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv calculator uses Density given VC = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*(Molar Specific Heat Capacity at Constant Volume+[R])) to calculate the Density given VC, The Density given volumetric coefficient of thermal expansion, compressibility factors and Cv is defined as material mass per unit volume and designated by the symbol ρ (rho). Density given VC is denoted by ρ_vC symbol.

How to calculate Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv using this online calculator? To use this online calculator for Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv, enter Volumetric Coefficient of Thermal Expansion (α), Temperature (T), Isothermal Compressibility (K_T), Isentropic Compressibility (K_S) & Molar Specific Heat Capacity at Constant Volume (C_v) and hit the calculate button. Here is how the Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv calculation can be explained with given input values -> 95.45031 = ((25^2)*85)/((75-70)*(103+[R])).

FAQ

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

The Density given volumetric coefficient of thermal expansion, compressibility factors and Cv is defined as material mass per unit volume and designated by the symbol ρ (rho) and is represented as ρ_vC = ((α^2)*T)/((K_T-K_S)*(C_v+[R])) or Density given VC = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*(Molar Specific Heat Capacity at Constant Volume+[R])). 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 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 Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv?

The Density given volumetric coefficient of thermal expansion, compressibility factors and Cv is defined as material mass per unit volume and designated by the symbol ρ (rho) is calculated using Density given VC = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*(Molar Specific Heat Capacity at Constant Volume+[R])). To calculate Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv, you need Volumetric Coefficient of Thermal Expansion (α), Temperature (T), Isothermal Compressibility (K_T), Isentropic Compressibility (K_S) & Molar Specific Heat Capacity at Constant Volume (C_v). 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 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 VC?

In this formula, Density given VC uses Volumetric Coefficient of Thermal Expansion, Temperature, Isothermal Compressibility, Isentropic 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 VC = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Pressure)

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