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Specific Volume of Real Gas given Difference between Cp and Cv Formula

GoSpecific Volume of Real Gas given Heat Capacities Formula

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

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

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

Specific Volume of Real Gas given Difference between Cp and Cv Example

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

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

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

441.1765 = \frac{5 \cdot 75}{85 \cdot ({0.1}^{2})}

441.1765m³/kg = \frac{5J/(kg*K) \cdot 75m²/N}{85K \cdot ({0.1K⁻¹}^{2})}

441.1765 = \frac{5 \cdot 75}{85 \cdot ({0.1}^{2})}

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Real Gas » fx Specific Volume of Real Gas given Difference between Cp and Cv

Specific Volume of Real Gas given Difference between Cp and Cv Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v = \frac{5J/(kg*K) \cdot 75m²/N}{85K \cdot ({0.1K⁻¹}^{2})}

Next Step Prepare to Evaluate

∴

v = \frac{5 \cdot 75}{85 \cdot ({0.1}^{2})}

Next Step Evaluate

∴

v = 441.176470588235m³/kg

LAST Step Rounding Answer

∴

v = 441.1765m³/kg

Specific Volume of Real Gas given Difference between Cp and Cv Formula Elements

Variables

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

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

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

Other Formulas to find Specific Volume

Go Specific Volume of Real Gas given Heat Capacities

v = \frac{(C p - C v) \cdot K T}{T \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 Specific Volume of Real Gas given Difference between Cp and Cv?

Specific Volume of Real Gas given Difference between Cp and Cv evaluator uses Specific Volume = (Difference in Heat Capacities*Isothermal Compressibility)/(Temperature*(Coefficient of Thermal Expansion^2)) to evaluate the Specific Volume, The Specific Volume of real gas given difference between Cp and Cv is a property of materials, defined as the number of cubic meters occupied by one kilogram of a particular substance. Specific Volume is denoted by v symbol.

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

FAQs on Specific Volume of Real Gas given Difference between Cp and Cv

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

The formula of Specific Volume of Real Gas given Difference between Cp and Cv is expressed as Specific Volume = (Difference in Heat Capacities*Isothermal Compressibility)/(Temperature*(Coefficient of Thermal Expansion^2)). Here is an example- 441.1765 = (5*75)/(85*(0.1^2)).

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

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

What are the other ways to Calculate Specific Volume?

Here are the different ways to Calculate Specific Volume-

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

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

No, the Specific Volume of Real Gas given Difference between Cp and Cv, measured in Specific Volume cannot be negative.

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

Specific Volume of Real Gas given Difference between Cp and Cv is usually measured using the Cubic Meter per Kilogram[m³/kg] for Specific Volume. Cubic Centimeter per Gram[m³/kg], Liter per Kilogram[m³/kg], Liter per Gram[m³/kg] are the few other units in which Specific Volume of Real Gas given Difference between Cp and Cv can be measured.

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Specific Volume of Real Gas given Difference between Cp and Cv Formula

​GoSpecific Volume of Real Gas given Heat Capacities Formula

Specific Volume of Real Gas given Difference between Cp and Cv Example

Specific Volume of Real Gas given Difference between Cp and Cv Solution

Specific Volume of Real Gas given Difference between Cp and Cv Formula Elements

Other Formulas to find Specific Volume

Other formulas in Specific Heat Capacity category

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

FAQs on Specific Volume of Real Gas given Difference between Cp and Cv

Variable Name

GoSpecific Volume of Real Gas given Heat Capacities Formula