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

GoDensity given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp Formula

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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. Check FAQs

ρ vC = \frac{(α^{2}) \cdot T}{(K T - K S) \cdot (C v + [R])}

ρ_vC - Density given VC?α - Volumetric Coefficient of Thermal Expansion?T - Temperature?K_T - Isothermal Compressibility?K_S - Isentropic Compressibility?C_v - Molar Specific Heat Capacity at Constant Volume?[R] - Universal gas constant?

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

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Here is how the Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv equation looks like with Values.

Here is how the Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv equation looks like with Units.

Here is how the Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv equation looks like.

95.4503 = \frac{(25^{2}) \cdot 85}{(75 - 70) \cdot (103 + 8.3145)}

95.4503kg/m³ = \frac{({25K⁻¹}^{2}) \cdot 85K}{(75m²/N - 70m²/N) \cdot (103J/K*mol + 8.3145)}

95.4503 = \frac{(25^{2}) \cdot 85}{(75 - 70) \cdot (103 + 8.3145)}

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

Follow our step by step solution on how to calculate Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv?

FIRST Step Consider the formula

ρ vC = \frac{(α^{2}) \cdot T}{(K T - K S) \cdot (C v + [R])}

Next Step Substitute values of Variables

∴

ρ vC = \frac{({25K⁻¹}^{2}) \cdot 85K}{(75m²/N - 70m²/N) \cdot (103J/K*mol + [R])}

Next Step Substitute values of Constants

∴

ρ vC = \frac{({25K⁻¹}^{2}) \cdot 85K}{(75m²/N - 70m²/N) \cdot (103J/K*mol + 8.3145)}

Next Step Prepare to Evaluate

∴

ρ vC = \frac{(25^{2}) \cdot 85}{(75 - 70) \cdot (103 + 8.3145)}

Next Step Evaluate

∴

ρ vC = 95.4503103199392kg/m³

LAST Step Rounding Answer

∴

ρ vC = 95.4503kg/m³

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

Variables

Constants

Density given VC

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.

Symbol: ρ_vC

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Density given VC

Volumetric Coefficient of Thermal Expansion

Volumetric coefficient of thermal expansion is the tendency of matter to change its volume in response to a change in temperature.

Symbol: α

Measurement: Thermal ExpansionUnit: K⁻¹

Note: Value can be positive or negative.

Formulas to find Volumetric Coefficient of Thermal Expansion

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Isothermal Compressibility

The isothermal compressibility is the change in volume due to change in pressure at constant temperature.

Symbol: K_T

Measurement: CompressibilityUnit: m²/N

Note: Value can be positive or negative.

Formulas to find Isothermal Compressibility

Isentropic Compressibility

The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.

Symbol: K_S

Measurement: CompressibilityUnit: m²/N

Note: Value can be positive or negative.

Formulas to find Isentropic Compressibility

Molar Specific Heat Capacity at Constant Volume

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.

Symbol: C_v

Measurement: Molar Specific Heat Capacity at Constant VolumeUnit: J/K*mol

Note: Value should be greater than 0.

Formulas to find Molar Specific Heat Capacity at Constant Volume

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Other Formulas to find Density given VC

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

ρ vC = \frac{(α^{2}) \cdot T}{(K T - K S) \cdot C p}

Other formulas in Density of Gas category

Go Density of Gas given Root Mean Square Speed and Pressure

ρ RMS_P = \frac{3 \cdot P gas}{{(C RMS)}^{2}}

Go Density of Gas given Average Velocity and Pressure

ρ AV_P = \frac{8 \cdot P gas}{π \cdot ({(C av)}^{2})}

Go Density of Gas given Most Probable Speed Pressure

ρ MPS = \frac{2 \cdot P gas}{{(C mp)}^{2}}

Go Density of Gas given Average Velocity and Pressure in 2D

ρ AV_P = \frac{π \cdot P gas}{2 \cdot ({(C av)}^{2})}

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

Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv evaluator uses Density given VC = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*(Molar Specific Heat Capacity at Constant Volume+[R])) to evaluate 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 evaluate Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv?

The formula of Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv is expressed as Density given VC = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*(Molar Specific Heat Capacity at Constant Volume+[R])). Here is an example- 95.45031 = ((25^2)*85)/((75-70)*(103+[R])).

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

With 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) we can find Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv using the formula - Density given VC = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*(Molar Specific Heat Capacity at Constant Volume+[R])). This formula also uses Universal gas constant .

What are the other ways to Calculate Density given VC?

Here are the different ways to Calculate Density given VC-

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

Can the Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv be negative?

Yes, the Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv, measured in Density can be negative.

Which unit is used to measure Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv?

Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv can be measured.

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

​GoDensity given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp Formula

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

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

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

Other Formulas to find Density given VC

Other formulas in Density of Gas category

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

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

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GoDensity given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp Formula