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Density given Thermal Pressure Coefficient, Compressibility Factors and Cp Formula

GoDensity given Thermal Pressure Coefficient, Compressibility Factors and Cv Formula

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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. Check FAQs

ρ TPC = \frac{(Λ^{2}) \cdot T}{((\frac{1}{K S}) - (\frac{1}{K T})) \cdot (C p - [R])}

ρ_TPC - Density given TPC?Λ - Thermal Pressure Coefficient?T - Temperature?K_S - Isentropic Compressibility?K_T - Isothermal Compressibility?C_p - Molar Specific Heat Capacity at Constant Pressure?[R] - Universal gas constant?

Density given Thermal Pressure Coefficient, Compressibility Factors and Cp Example

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Here is how the Density given Thermal Pressure Coefficient, Compressibility Factors and Cp equation looks like with Units.

Here is how the Density given Thermal Pressure Coefficient, Compressibility Factors and Cp equation looks like.

0.0785 = \frac{({0.01}^{2}) \cdot 85}{((\frac{1}{70}) - (\frac{1}{75})) \cdot (122 - 8.3145)}

0.0785kg/m³ = \frac{({0.01Pa/K}^{2}) \cdot 85K}{((\frac{1}{70m²/N}) - (\frac{1}{75m²/N})) \cdot (122J/K*mol - 8.3145)}

0.0785 = \frac{({0.01}^{2}) \cdot 85}{((\frac{1}{70}) - (\frac{1}{75})) \cdot (122 - 8.3145)}

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Density given Thermal Pressure Coefficient, Compressibility Factors and Cp Solution

Follow our step by step solution on how to calculate Density given Thermal Pressure Coefficient, Compressibility Factors and Cp?

FIRST Step Consider the formula

ρ TPC = \frac{(Λ^{2}) \cdot T}{((\frac{1}{K S}) - (\frac{1}{K T})) \cdot (C p - [R])}

Next Step Substitute values of Variables

∴

ρ TPC = \frac{({0.01Pa/K}^{2}) \cdot 85K}{((\frac{1}{70m²/N}) - (\frac{1}{75m²/N})) \cdot (122J/K*mol - [R])}

Next Step Substitute values of Constants

∴

ρ TPC = \frac{({0.01Pa/K}^{2}) \cdot 85K}{((\frac{1}{70m²/N}) - (\frac{1}{75m²/N})) \cdot (122J/K*mol - 8.3145)}

Next Step Prepare to Evaluate

∴

ρ TPC = \frac{({0.01}^{2}) \cdot 85}{((\frac{1}{70}) - (\frac{1}{75})) \cdot (122 - 8.3145)}

Next Step Evaluate

∴

ρ TPC = 0.0785060281680575kg/m³

LAST Step Rounding Answer

∴

ρ TPC = 0.0785kg/m³

Density given Thermal Pressure Coefficient, Compressibility Factors and Cp Formula Elements

Variables

Constants

Density given TPC

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.

Symbol: ρ_TPC

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Density given TPC

Thermal Pressure Coefficient

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.

Symbol: Λ

Measurement: Slope of Coexistence CurveUnit: Pa/K

Note: Value can be positive or negative.

Formulas to find Thermal Pressure Coefficient

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

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

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

Molar Specific Heat Capacity at Constant Pressure

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.

Symbol: C_p

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

Note: Value should be greater than 0.

Formulas to find Molar Specific Heat Capacity at Constant Pressure

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 TPC

Go Density given Thermal Pressure Coefficient, Compressibility Factors and Cv

ρ TPC = \frac{(Λ^{2}) \cdot T}{((\frac{1}{K S}) - (\frac{1}{K T})) \cdot C v}

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 Thermal Pressure Coefficient, Compressibility Factors and Cp?

Density given Thermal Pressure Coefficient, Compressibility Factors and Cp evaluator uses Density given TPC = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*(Molar Specific Heat Capacity at Constant Pressure-[R])) to evaluate the Density given TPC, 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 given TPC is denoted by ρ_TPC symbol.

How to evaluate Density given Thermal Pressure Coefficient, Compressibility Factors and Cp using this online evaluator? To use this online evaluator for Density given Thermal Pressure Coefficient, Compressibility Factors and Cp, enter Thermal Pressure Coefficient (Λ), Temperature (T), Isentropic Compressibility (K_S), Isothermal Compressibility (K_T) & Molar Specific Heat Capacity at Constant Pressure (C_p) and hit the calculate button.

FAQs on Density given Thermal Pressure Coefficient, Compressibility Factors and Cp

What is the formula to find Density given Thermal Pressure Coefficient, Compressibility Factors and Cp?

The formula of Density given Thermal Pressure Coefficient, Compressibility Factors and Cp is expressed as Density given TPC = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*(Molar Specific Heat Capacity at Constant Pressure-[R])). Here is an example- 0.078506 = ((0.01^2)*85)/(((1/70)-(1/75))*(122-[R])).

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

With Thermal Pressure Coefficient (Λ), Temperature (T), Isentropic Compressibility (K_S), Isothermal Compressibility (K_T) & Molar Specific Heat Capacity at Constant Pressure (C_p) we can find Density given Thermal Pressure Coefficient, Compressibility Factors and Cp using the formula - Density given TPC = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*(Molar Specific Heat Capacity at Constant Pressure-[R])). This formula also uses Universal gas constant .

What are the other ways to Calculate Density given TPC?

Here are the different ways to Calculate Density given TPC-

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

Can the Density given Thermal Pressure Coefficient, Compressibility Factors and Cp be negative?

Yes, the Density given Thermal Pressure Coefficient, Compressibility Factors and Cp, measured in Density can be negative.

Which unit is used to measure Density given Thermal Pressure Coefficient, Compressibility Factors and Cp?

Density given Thermal Pressure Coefficient, Compressibility Factors and Cp 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 Thermal Pressure Coefficient, Compressibility Factors and Cp can be measured.

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Density given Thermal Pressure Coefficient, Compressibility Factors and Cp Formula

​GoDensity given Thermal Pressure Coefficient, Compressibility Factors and Cv Formula

Density given Thermal Pressure Coefficient, Compressibility Factors and Cp Example

Density given Thermal Pressure Coefficient, Compressibility Factors and Cp Solution

Density given Thermal Pressure Coefficient, Compressibility Factors and Cp Formula Elements

Other Formulas to find Density given TPC

Other formulas in Density of Gas category

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

FAQs on Density given Thermal Pressure Coefficient, Compressibility Factors and Cp

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GoDensity given Thermal Pressure Coefficient, Compressibility Factors and Cv Formula