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

GoTemperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv Formula

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Temperature given Coefficient of Thermal Expansion s the degree or intensity of heat present in a substance or object. Check FAQs

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

T_TE - Temperature given Coefficient of Thermal Expansion?K_T - Isothermal Compressibility?K_S - Isentropic Compressibility?ρ - Density?C_p - Molar Specific Heat Capacity at Constant Pressure?α - Volumetric Coefficient of Thermal Expansion?

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

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

973.072 = \frac{(75 - 70) \cdot 997 \cdot 122}{25^{2}}

973.072K = \frac{(75m²/N - 70m²/N) \cdot 997kg/m³ \cdot 122J/K*mol}{{25K⁻¹}^{2}}

973.072 = \frac{(75 - 70) \cdot 997 \cdot 122}{25^{2}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T TE = \frac{(75m²/N - 70m²/N) \cdot 997kg/m³ \cdot 122J/K*mol}{{25K⁻¹}^{2}}

Next Step Prepare to Evaluate

∴

T TE = \frac{(75 - 70) \cdot 997 \cdot 122}{25^{2}}

LAST Step Evaluate

∴

T TE = 973.072K

Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cp Formula Elements

Variables

Temperature given Coefficient of Thermal Expansion

Temperature given Coefficient of Thermal Expansion s the degree or intensity of heat present in a substance or object.

Symbol: T_TE

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature given Coefficient of Thermal Expansion

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

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

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

Other Formulas to find Temperature given Coefficient of Thermal Expansion

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

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

Other formulas in Important Calculator of Compressibility category

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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 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}}

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

Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cp evaluator uses Temperature given Coefficient of Thermal Expansion = ((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/(Volumetric Coefficient of Thermal Expansion^2) to evaluate the Temperature given Coefficient of Thermal Expansion, The Temperature given coefficient of thermal expansion, 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 Coefficient of Thermal Expansion is denoted by T_TE symbol.

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

FAQs on Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cp

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

The formula of Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cp is expressed as Temperature given Coefficient of Thermal Expansion = ((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/(Volumetric Coefficient of Thermal Expansion^2). Here is an example- 973.072 = ((75-70)*997*122)/(25^2).

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

With Isothermal Compressibility (K_T), Isentropic Compressibility (K_S), Density (ρ), Molar Specific Heat Capacity at Constant Pressure (C_p) & Volumetric Coefficient of Thermal Expansion (α) we can find Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cp using the formula - Temperature given Coefficient of Thermal Expansion = ((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/(Volumetric Coefficient of Thermal Expansion^2).

What are the other ways to Calculate Temperature given Coefficient of Thermal Expansion?

Here are the different ways to Calculate Temperature given Coefficient of Thermal Expansion-

Temperature given Coefficient of Thermal Expansion=((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]))/(Volumetric Coefficient of Thermal Expansion^2)

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

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

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

Temperature given Coefficient of Thermal Expansion, 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 Coefficient of Thermal Expansion, Compressibility Factors and Cp can be measured.

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

​GoTemperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv Formula

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

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

Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cp Formula Elements

Other Formulas to find Temperature given Coefficient of Thermal Expansion

Other formulas in Important Calculator of Compressibility category

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

FAQs on Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cp

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GoTemperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv Formula