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

GoTemperature given Coefficient of Thermal Expansion, Compressibility Factors and Cp 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 v + [R])}{α^{2}}

T_TE - Temperature given Coefficient of Thermal Expansion?K_T - Isothermal Compressibility?K_S - Isentropic Compressibility?ρ - Density?C_v - Molar Specific Heat Capacity at Constant Volume?α - Volumetric Coefficient of Thermal Expansion?[R] - Universal gas constant?

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

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

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

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

887.8442 = \frac{(75 - 70) \cdot 997 \cdot (103 + 8.3145)}{25^{2}}

887.8442K = \frac{(75m²/N - 70m²/N) \cdot 997kg/m³ \cdot (103J/K*mol + 8.3145)}{{25K⁻¹}^{2}}

887.8442 = \frac{(75 - 70) \cdot 997 \cdot (103 + 8.3145)}{25^{2}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T TE = \frac{(75m²/N - 70m²/N) \cdot 997kg/m³ \cdot (103J/K*mol + [R])}{{25K⁻¹}^{2}}

Next Step Substitute values of Constants

∴

T TE = \frac{(75m²/N - 70m²/N) \cdot 997kg/m³ \cdot (103J/K*mol + 8.3145)}{{25K⁻¹}^{2}}

Next Step Prepare to Evaluate

∴

T TE = \frac{(75 - 70) \cdot 997 \cdot (103 + 8.3145)}{25^{2}}

Next Step Evaluate

∴

T TE = 887.84415384239K

LAST Step Rounding Answer

∴

T TE = 887.8442K

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

Variables

Constants

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 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

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

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 Temperature given Coefficient of Thermal Expansion

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}}

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 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 Cv?

Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv evaluator uses 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) to evaluate the Temperature given Coefficient of Thermal Expansion, The Temperature given coefficient of thermal expansion, compressibility factors and Cv 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 Cv using this online evaluator? To use this online evaluator for Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv, enter Isothermal Compressibility (K_T), Isentropic Compressibility (K_S), Density (ρ), Molar Specific Heat Capacity at Constant Volume (C_v) & Volumetric Coefficient of Thermal Expansion (α) and hit the calculate button.

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

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

The formula of Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv is expressed as 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). Here is an example- 887.8442 = ((75-70)*997*(103+[R]))/(25^2).

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

With Isothermal Compressibility (K_T), Isentropic Compressibility (K_S), Density (ρ), Molar Specific Heat Capacity at Constant Volume (C_v) & Volumetric Coefficient of Thermal Expansion (α) we can find Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv using the formula - 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). This formula also uses Universal gas constant .

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 Pressure)/(Volumetric Coefficient of Thermal Expansion^2)

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

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

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

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

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

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

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

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

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

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

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