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Thermal Pressure Coefficient given Compressibility Factors and Cp Formula

GoThermal Pressure Coefficient given Compressibility Factors and Cv 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 p - [R])}{T}}

Λ_coeff - Coefficient of Thermal Pressure?K_S - Isentropic Compressibility?K_T - Isothermal Compressibility?ρ - Density?C_p - Molar Specific Heat Capacity at Constant Pressure?T - Temperature?[R] - Universal gas constant?

Thermal Pressure Coefficient given Compressibility Factors and Cp Example

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

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

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

1.1269 = \sqrt{\frac{((\frac{1}{70}) - (\frac{1}{75})) \cdot 997 \cdot (122 - 8.3145)}{85}}

1.1269Pa/K = \sqrt{\frac{((\frac{1}{70m²/N}) - (\frac{1}{75m²/N})) \cdot 997kg/m³ \cdot (122J/K*mol - 8.3145)}{85K}}

1.1269 = \sqrt{\frac{((\frac{1}{70}) - (\frac{1}{75})) \cdot 997 \cdot (122 - 8.3145)}{85}}

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Thermal Pressure Coefficient given Compressibility Factors and Cp Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Λ coeff = \sqrt{\frac{((\frac{1}{70m²/N}) - (\frac{1}{75m²/N})) \cdot 997kg/m³ \cdot (122J/K*mol - [R])}{85K}}

Next Step Substitute values of Constants

∴

Λ coeff = \sqrt{\frac{((\frac{1}{70m²/N}) - (\frac{1}{75m²/N})) \cdot 997kg/m³ \cdot (122J/K*mol - 8.3145)}{85K}}

Next Step Prepare to Evaluate

∴

Λ coeff = \sqrt{\frac{((\frac{1}{70}) - (\frac{1}{75})) \cdot 997 \cdot (122 - 8.3145)}{85}}

Next Step Evaluate

∴

Λ coeff = 1.12692775770636Pa/K

LAST Step Rounding Answer

∴

Λ coeff = 1.1269Pa/K

Thermal Pressure Coefficient given Compressibility Factors and Cp Formula Elements

Variables

Constants

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 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

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

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

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 Cv

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

Thermal Pressure Coefficient given Compressibility Factors and Cp evaluator uses Coefficient of Thermal Pressure = sqrt((((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*(Molar Specific Heat Capacity at Constant Pressure-[R]))/Temperature) to evaluate the Coefficient of Thermal Pressure, The Thermal pressure coefficient given compressibility factors and Cp 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 Cp using this online evaluator? To use this online evaluator for Thermal Pressure Coefficient given Compressibility Factors and Cp, enter Isentropic Compressibility (K_S), Isothermal Compressibility (K_T), Density (ρ), Molar Specific Heat Capacity at Constant Pressure (C_p) & Temperature (T) and hit the calculate button.

FAQs on Thermal Pressure Coefficient given Compressibility Factors and Cp

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

The formula of Thermal Pressure Coefficient given Compressibility Factors and Cp is expressed as Coefficient of Thermal Pressure = sqrt((((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*(Molar Specific Heat Capacity at Constant Pressure-[R]))/Temperature). Here is an example- 1.126928 = sqrt((((1/70)-(1/75))*997*(122-[R]))/85).

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

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

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

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

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

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

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Thermal Pressure Coefficient given Compressibility Factors and Cp Formula

​GoThermal Pressure Coefficient given Compressibility Factors and Cv Formula

Thermal Pressure Coefficient given Compressibility Factors and Cp Example

Thermal Pressure Coefficient given Compressibility Factors and Cp Solution

Thermal Pressure Coefficient given Compressibility Factors and Cp 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 Cp?

FAQs on Thermal Pressure Coefficient given Compressibility Factors and Cp

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GoThermal Pressure Coefficient given Compressibility Factors and Cv Formula