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Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv Formula

GoCoefficient of Thermal Expansion of Real Gas Formula

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Coefficient of thermal expansion describes how the size of an object changes with a change in temperature. Check FAQs

α = \sqrt{\frac{δC pv \cdot K T}{v \cdot T}}

α - Coefficient of Thermal Expansion?δC_pv - Difference in Heat Capacities?K_T - Isothermal Compressibility?v - Specific Volume?T - Temperature?

Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv Example

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Here is how the Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv equation looks like with Values.

Here is how the Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv equation looks like with Units.

Here is how the Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv equation looks like.

0.6333 = \sqrt{\frac{5 \cdot 75}{11 \cdot 85}}

0.6333K⁻¹ = \sqrt{\frac{5J/(kg*K) \cdot 75m²/N}{11m³/kg \cdot 85K}}

0.6333 = \sqrt{\frac{5 \cdot 75}{11 \cdot 85}}

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Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv Solution

Follow our step by step solution on how to calculate Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv?

FIRST Step Consider the formula

α = \sqrt{\frac{δC pv \cdot K T}{v \cdot T}}

Next Step Substitute values of Variables

∴

α = \sqrt{\frac{5J/(kg*K) \cdot 75m²/N}{11m³/kg \cdot 85K}}

Next Step Prepare to Evaluate

∴

α = \sqrt{\frac{5 \cdot 75}{11 \cdot 85}}

Next Step Evaluate

∴

α = 0.633300496381124K⁻¹

LAST Step Rounding Answer

∴

α = 0.6333K⁻¹

Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv Formula Elements

Variables

Functions

Coefficient of Thermal Expansion

Coefficient of thermal expansion describes how the size of an object changes with a change in temperature.

Symbol: α

Measurement: Thermal ExpansionUnit: K⁻¹

Note: Value can be positive or negative.

Formulas to find Coefficient of Thermal Expansion

Difference in Heat Capacities

Difference in Heat Capacities is the difference between Heat Capacity at constant Pressure and Heat Capacity at constant Volume.

Symbol: δC_pv

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value can be positive or negative.

Formulas to find Difference in Heat Capacities

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

Specific Volume

Specific Volume of the body is its volume per unit mass.

Symbol: v

Measurement: Specific VolumeUnit: m³/kg

Note: Value should be greater than 0.

Formulas to find Specific 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 Expansion

Go Coefficient of Thermal Expansion of Real Gas

α = \sqrt{\frac{(C p - C v) \cdot K T}{v \cdot T}}

Other formulas in Specific Heat Capacity category

Go Difference between Cp and Cv of Real Gas

δC pv = \frac{v \cdot T \cdot (α^{2})}{K T}

Go Heat Capacity at Constant Pressure of Real Gas

C p = (\frac{v \cdot T \cdot (α^{2})}{K T}) + C v

Go Heat Capacity at Constant Volume of Real Gas

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

Go Isothermal Compressibility of Real Gas

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

How to Evaluate Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv?

Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv evaluator uses Coefficient of Thermal Expansion = sqrt((Difference in Heat Capacities*Isothermal Compressibility)/(Specific Volume*Temperature)) to evaluate the Coefficient of Thermal Expansion, The Coefficient of thermal expansion of real gas given difference between Cp and Cv describes how the size of an object changes with a change in temperature. Coefficient of Thermal Expansion is denoted by α symbol.

How to evaluate Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv using this online evaluator? To use this online evaluator for Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv, enter Difference in Heat Capacities (δC_pv), Isothermal Compressibility (K_T), Specific Volume (v) & Temperature (T) and hit the calculate button.

FAQs on Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv

What is the formula to find Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv?

The formula of Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv is expressed as Coefficient of Thermal Expansion = sqrt((Difference in Heat Capacities*Isothermal Compressibility)/(Specific Volume*Temperature)). Here is an example- 0.6333 = sqrt((5*75)/(11*85)).

How to calculate Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv?

With Difference in Heat Capacities (δC_pv), Isothermal Compressibility (K_T), Specific Volume (v) & Temperature (T) we can find Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv using the formula - Coefficient of Thermal Expansion = sqrt((Difference in Heat Capacities*Isothermal Compressibility)/(Specific Volume*Temperature)). This formula also uses Square Root (sqrt) function(s).

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

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

Coefficient of Thermal Expansion=sqrt(((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Specific Volume*Temperature))

Can the Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv be negative?

Yes, the Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv, measured in Thermal Expansion can be negative.

Which unit is used to measure Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv?

Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv is usually measured using the 1 Per Kelvin[K⁻¹] for Thermal Expansion. 1 Per Rankine[K⁻¹], 1 Per Celsius[K⁻¹], 1 Per Fahrenheit[K⁻¹] are the few other units in which Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv can be measured.

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Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv Formula

​GoCoefficient of Thermal Expansion of Real Gas Formula

Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv Example

Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv Solution

Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv Formula Elements

Other Formulas to find Coefficient of Thermal Expansion

Other formulas in Specific Heat Capacity category

How to Evaluate Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv?

FAQs on Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv

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GoCoefficient of Thermal Expansion of Real Gas Formula