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Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp Formula

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Temperature given Cp is the degree or intensity of heat present in a substance or object. Check FAQs

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

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

Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp Example

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

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

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

1.1E+6 = \frac{((\frac{1}{70}) - (\frac{1}{75})) \cdot 997 \cdot (122 - 8.3145)}{{0.01}^{2}}

1.1E+6K = \frac{((\frac{1}{70m²/N}) - (\frac{1}{75m²/N})) \cdot 997kg/m³ \cdot (122J/K*mol - 8.3145)}{{0.01Pa/K}^{2}}

1.1E+6 = \frac{((\frac{1}{70}) - (\frac{1}{75})) \cdot 997 \cdot (122 - 8.3145)}{{0.01}^{2}}

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Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T Cp = \frac{((\frac{1}{70m²/N}) - (\frac{1}{75m²/N})) \cdot 997kg/m³ \cdot (122J/K*mol - [R])}{{0.01Pa/K}^{2}}

Next Step Substitute values of Constants

∴

T Cp = \frac{((\frac{1}{70m²/N}) - (\frac{1}{75m²/N})) \cdot 997kg/m³ \cdot (122J/K*mol - 8.3145)}{{0.01Pa/K}^{2}}

Next Step Prepare to Evaluate

∴

T Cp = \frac{((\frac{1}{70}) - (\frac{1}{75})) \cdot 997 \cdot (122 - 8.3145)}{{0.01}^{2}}

Next Step Evaluate

∴

T Cp = 1079471.24542572K

LAST Step Rounding Answer

∴

T Cp = 1.1E+6K

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

Variables

Constants

Temperature given Cp

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

Symbol: T_Cp

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature given Cp

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

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

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 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 Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp?

Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp evaluator uses Temperature given Cp = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*(Molar Specific Heat Capacity at Constant Pressure-[R]))/(Thermal Pressure Coefficient^2) to evaluate the Temperature given Cp, The Temperature given thermal pressure coefficient, compressibility factors and Cp is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale. Temperature given Cp is denoted by T_Cp symbol.

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

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

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

The formula of Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp is expressed as Temperature given Cp = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*(Molar Specific Heat Capacity at Constant Pressure-[R]))/(Thermal Pressure Coefficient^2). Here is an example- 1.1E+6 = (((1/70)-(1/75))*997*(122-[R]))/(0.01^2).

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

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

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

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

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

Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp can be measured.

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Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp Formula

Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp Example

Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp Solution

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

Other formulas in Important Calculator of Compressibility category

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

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

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