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Difference between Cp and Cv of Real Gas Formula

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

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

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

Difference between Cp and Cv of Real Gas Example

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

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

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

0.1247 = \frac{11 \cdot 85 \cdot ({0.1}^{2})}{75}

0.1247J/(kg*K) = \frac{11m³/kg \cdot 85K \cdot ({0.1K⁻¹}^{2})}{75m²/N}

0.1247 = \frac{11 \cdot 85 \cdot ({0.1}^{2})}{75}

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Difference between Cp and Cv of Real Gas Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δC pv = \frac{11m³/kg \cdot 85K \cdot ({0.1K⁻¹}^{2})}{75m²/N}

Next Step Prepare to Evaluate

∴

δC pv = \frac{11 \cdot 85 \cdot ({0.1}^{2})}{75}

Next Step Evaluate

∴

δC pv = 0.124666666666667J/(kg*K)

LAST Step Rounding Answer

∴

δC pv = 0.1247J/(kg*K)

Difference between Cp and Cv of Real Gas Formula Elements

Variables

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

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

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

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

Other formulas in Specific Heat Capacity category

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}}

Go Isothermal Compressibility of Real Gas

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

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

Difference between Cp and Cv of Real Gas evaluator uses Difference in Heat Capacities = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility to evaluate the Difference in Heat Capacities, The Difference between Cp and Cv of real gas is the difference between Molar Heat Capacity at constant Pressure and Molar Heat Capacity at constant Volume. Difference in Heat Capacities is denoted by δC_pv symbol.

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

FAQs on Difference between Cp and Cv of Real Gas

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

The formula of Difference between Cp and Cv of Real Gas is expressed as Difference in Heat Capacities = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility. Here is an example- 0.124667 = (11*85*(0.1^2))/75.

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

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

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

Yes, the Difference between Cp and Cv of Real Gas, measured in Specific Heat Capacity can be negative.

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

Difference between Cp and Cv of Real Gas is usually measured using the Joule per Kilogram per K[J/(kg*K)] for Specific Heat Capacity. Joule per Kilogram per Celcius[J/(kg*K)], Kilojoule per Kilogram per K[J/(kg*K)], Kilojoule per Kilogram per Celcius[J/(kg*K)] are the few other units in which Difference between Cp and Cv of Real Gas can be measured.

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Difference between Cp and Cv of Real Gas Formula

Difference between Cp and Cv of Real Gas Example

Difference between Cp and Cv of Real Gas Solution

Difference between Cp and Cv of Real Gas Formula Elements

Other formulas in Specific Heat Capacity category

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

FAQs on Difference between Cp and Cv of Real Gas

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