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Temperature of Real Gas given Difference between Cp and Cv Formula

GoTemperature of Real Gas given Heat Capacities Formula

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

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

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

Temperature of Real Gas given Difference between Cp and Cv Example

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

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

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

3409.0909 = \frac{5 \cdot 75}{11 \cdot ({0.1}^{2})}

3409.0909K = \frac{5J/(kg*K) \cdot 75m²/N}{11m³/kg \cdot ({0.1K⁻¹}^{2})}

3409.0909 = \frac{5 \cdot 75}{11 \cdot ({0.1}^{2})}

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Real Gas » fx Temperature of Real Gas given Difference between Cp and Cv

Temperature of Real Gas given Difference between Cp and Cv Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = \frac{5J/(kg*K) \cdot 75m²/N}{11m³/kg \cdot ({0.1K⁻¹}^{2})}

Next Step Prepare to Evaluate

∴

T = \frac{5 \cdot 75}{11 \cdot ({0.1}^{2})}

Next Step Evaluate

∴

T = 3409.09090909091K

LAST Step Rounding Answer

∴

T = 3409.0909K

Temperature of Real Gas given Difference between Cp and Cv Formula Elements

Variables

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

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

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

Other Formulas to find Temperature

Go Temperature of Real Gas given Heat Capacities

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

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 Coefficient of Thermal Expansion of Real Gas

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

How to Evaluate Temperature of Real Gas given Difference between Cp and Cv?

Temperature of Real Gas given Difference between Cp and Cv evaluator uses Temperature = (Difference in Heat Capacities*Isothermal Compressibility)/(Specific Volume*(Coefficient of Thermal Expansion^2)) to evaluate the Temperature, The Temperature of real gas given difference between Cp and Cv is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale. Temperature is denoted by T symbol.

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

FAQs on Temperature of Real Gas given Difference between Cp and Cv

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

The formula of Temperature of Real Gas given Difference between Cp and Cv is expressed as Temperature = (Difference in Heat Capacities*Isothermal Compressibility)/(Specific Volume*(Coefficient of Thermal Expansion^2)). Here is an example- 3409.091 = (5*75)/(11*(0.1^2)).

How to calculate Temperature of Real Gas given Difference between Cp and Cv?

With Difference in Heat Capacities (δC_pv), Isothermal Compressibility (K_T), Specific Volume (v) & Coefficient of Thermal Expansion (α) we can find Temperature of Real Gas given Difference between Cp and Cv using the formula - Temperature = (Difference in Heat Capacities*Isothermal Compressibility)/(Specific Volume*(Coefficient of Thermal Expansion^2)).

What are the other ways to Calculate Temperature?

Here are the different ways to Calculate Temperature-

Temperature=((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Specific Volume*(Coefficient of Thermal Expansion^2))

Can the Temperature of Real Gas given Difference between Cp and Cv be negative?

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

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

Temperature of Real Gas given Difference between Cp 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 of Real Gas given Difference between Cp and Cv can be measured.

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Temperature of Real Gas given Difference between Cp and Cv Formula

​GoTemperature of Real Gas given Heat Capacities Formula

Temperature of Real Gas given Difference between Cp and Cv Example

Temperature of Real Gas given Difference between Cp and Cv Solution

Temperature of Real Gas given Difference between Cp and Cv Formula Elements

Other Formulas to find Temperature

Other formulas in Specific Heat Capacity category

How to Evaluate Temperature of Real Gas given Difference between Cp and Cv?

FAQs on Temperature of Real Gas given Difference between Cp and Cv

Variable Name

GoTemperature of Real Gas given Heat Capacities Formula