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Thermal Pressure Coefficient given Compressibility Factors and Cv Formula

GoThermal Pressure Coefficient given Compressibility Factors and Cp Formula

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Coefficient of Thermal Pressure is a measure of the relative pressure change of a fluid or a solid as a response to a temperature change at constant volume. Check FAQs

Λ coeff = \sqrt{\frac{((\frac{1}{K S}) - (\frac{1}{K T})) \cdot ρ \cdot C v}{T}}

Λ_coeff - Coefficient of Thermal Pressure?K_S - Isentropic Compressibility?K_T - Isothermal Compressibility?ρ - Density?C_v - Molar Specific Heat Capacity at Constant Volume?T - Temperature?

Thermal Pressure Coefficient given Compressibility Factors and Cv Example

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

Here is how the Thermal Pressure Coefficient given Compressibility Factors and Cv equation looks like.

1.0727 = \sqrt{\frac{((\frac{1}{70}) - (\frac{1}{75})) \cdot 997 \cdot 103}{85}}

1.0727Pa/K = \sqrt{\frac{((\frac{1}{70m²/N}) - (\frac{1}{75m²/N})) \cdot 997kg/m³ \cdot 103J/K*mol}{85K}}

1.0727 = \sqrt{\frac{((\frac{1}{70}) - (\frac{1}{75})) \cdot 997 \cdot 103}{85}}

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Thermal Pressure Coefficient given Compressibility Factors and Cv Solution

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

FIRST Step Consider the formula

Λ coeff = \sqrt{\frac{((\frac{1}{K S}) - (\frac{1}{K T})) \cdot ρ \cdot C v}{T}}

Next Step Substitute values of Variables

∴

Λ coeff = \sqrt{\frac{((\frac{1}{70m²/N}) - (\frac{1}{75m²/N})) \cdot 997kg/m³ \cdot 103J/K*mol}{85K}}

Next Step Prepare to Evaluate

∴

Λ coeff = \sqrt{\frac{((\frac{1}{70}) - (\frac{1}{75})) \cdot 997 \cdot 103}{85}}

Next Step Evaluate

∴

Λ coeff = 1.07265998330128Pa/K

LAST Step Rounding Answer

∴

Λ coeff = 1.0727Pa/K

Thermal Pressure Coefficient given Compressibility Factors and Cv Formula Elements

Variables

Functions

Coefficient of Thermal Pressure

Coefficient of Thermal Pressure 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_coeff

Measurement: Slope of Coexistence CurveUnit: Pa/K

Note: Value can be positive or negative.

Formulas to find Coefficient of Thermal Pressure

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

Density

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.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Coefficient of Thermal Pressure

Go Thermal Pressure Coefficient given Compressibility Factors and Cp

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

Other formulas in Important Calculator of Compressibility category

Go Compressibility Factor given Molar Volume of Gases

Z ktog = \frac{V m}{V m (ideal)}

Go Molar Volume of Real Gas given Compressibility Factor

V molar = z \cdot V m (ideal)

Go Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp

α comp = \sqrt{\frac{(K T - K S) \cdot ρ \cdot C p}{T}}

Go Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cp

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

How to Evaluate Thermal Pressure Coefficient given Compressibility Factors and Cv?

Thermal Pressure Coefficient given Compressibility Factors and Cv evaluator uses Coefficient of Thermal Pressure = sqrt((((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/Temperature) to evaluate the Coefficient of Thermal Pressure, The Thermal pressure coefficient given compressibility factors and Cv is a measure of the relative pressure change of a fluid or a solid as a response to a temperature change at constant volume. Coefficient of Thermal Pressure is denoted by Λ_coeff symbol.

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

FAQs on Thermal Pressure Coefficient given Compressibility Factors and Cv

What is the formula to find Thermal Pressure Coefficient given Compressibility Factors and Cv?

The formula of Thermal Pressure Coefficient given Compressibility Factors and Cv is expressed as Coefficient of Thermal Pressure = sqrt((((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/Temperature). Here is an example- 1.07266 = sqrt((((1/70)-(1/75))*997*103)/85).

How to calculate Thermal Pressure Coefficient given Compressibility Factors and Cv?

With Isentropic Compressibility (K_S), Isothermal Compressibility (K_T), Density (ρ), Molar Specific Heat Capacity at Constant Volume (C_v) & Temperature (T) we can find Thermal Pressure Coefficient given Compressibility Factors and Cv using the formula - Coefficient of Thermal Pressure = sqrt((((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/Temperature). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Coefficient of Thermal Pressure?

Here are the different ways to Calculate Coefficient of Thermal Pressure-

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

Can the Thermal Pressure Coefficient given Compressibility Factors and Cv be negative?

Yes, the Thermal Pressure Coefficient given Compressibility Factors and Cv, measured in Slope of Coexistence Curve can be negative.

Which unit is used to measure Thermal Pressure Coefficient given Compressibility Factors and Cv?

Thermal Pressure Coefficient given Compressibility Factors and Cv is usually measured using the Pascal per Kelvin[Pa/K] for Slope of Coexistence Curve. Pascal per Kilokelvin[Pa/K] are the few other units in which Thermal Pressure Coefficient given Compressibility Factors and Cv can be measured.

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Thermal Pressure Coefficient given Compressibility Factors and Cv Formula

​GoThermal Pressure Coefficient given Compressibility Factors and Cp Formula

Thermal Pressure Coefficient given Compressibility Factors and Cv Example

Thermal Pressure Coefficient given Compressibility Factors and Cv Solution

Thermal Pressure Coefficient given Compressibility Factors and Cv Formula Elements

Other Formulas to find Coefficient of Thermal Pressure

Other formulas in Important Calculator of Compressibility category

How to Evaluate Thermal Pressure Coefficient given Compressibility Factors and Cv?

FAQs on Thermal Pressure Coefficient given Compressibility Factors and Cv

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GoThermal Pressure Coefficient given Compressibility Factors and Cp Formula