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Specific Volume of Real Gas given Heat Capacities Formula

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

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

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

v - Specific Volume?C_p - Heat Capacity Constant Pressure?C_v - Heat Capacity Constant Volume?K_T - Isothermal Compressibility?T - Temperature?α - Coefficient of Thermal Expansion?

Specific Volume of Real Gas given Heat Capacities Example

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Here is how the Specific Volume of Real Gas given Heat Capacities equation looks like with Values.

Here is how the Specific Volume of Real Gas given Heat Capacities equation looks like with Units.

Here is how the Specific Volume of Real Gas given Heat Capacities equation looks like.

24970.5882 = \frac{(1001 - 718) \cdot 75}{85 \cdot ({0.1}^{2})}

24970.5882m³/kg = \frac{(1001J/(kg*K) - 718J/(kg*K)) \cdot 75m²/N}{85K \cdot ({0.1K⁻¹}^{2})}

24970.5882 = \frac{(1001 - 718) \cdot 75}{85 \cdot ({0.1}^{2})}

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Specific Volume of Real Gas given Heat Capacities Solution

Follow our step by step solution on how to calculate Specific Volume of Real Gas given Heat Capacities?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v = \frac{(1001J/(kg*K) - 718J/(kg*K)) \cdot 75m²/N}{85K \cdot ({0.1K⁻¹}^{2})}

Next Step Prepare to Evaluate

∴

v = \frac{(1001 - 718) \cdot 75}{85 \cdot ({0.1}^{2})}

Next Step Evaluate

∴

v = 24970.5882352941m³/kg

LAST Step Rounding Answer

∴

v = 24970.5882m³/kg

Specific Volume of Real Gas given Heat Capacities 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

Heat Capacity Constant Pressure

Heat capacity constant pressure is the amount of heat energy absorbed/released per unit mass of a substance where the pressure does not change.

Symbol: C_p

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

Note: Value should be greater than 0.

Formulas to find Heat Capacity Constant Pressure

Heat Capacity Constant Volume

Heat capacity constant volume is the amount of heat energy absorbed/released per unit mass of a substance where the volume does not change.

Symbol: C_v

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

Note: Value should be greater than 0.

Formulas to find Heat Capacity Constant Volume

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 Difference between Cp and Cv

v = \frac{δC pv \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 Heat Capacities?

Specific Volume of Real Gas given Heat Capacities evaluator uses Specific Volume = ((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Temperature*(Coefficient of Thermal Expansion^2)) to evaluate the Specific Volume, The Specific Volume of real gas given Heat Capacities 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 Heat Capacities using this online evaluator? To use this online evaluator for Specific Volume of Real Gas given Heat Capacities, enter Heat Capacity Constant Pressure (C_p), Heat Capacity Constant Volume (C_v), Isothermal Compressibility (K_T), Temperature (T) & Coefficient of Thermal Expansion (α) and hit the calculate button.

FAQs on Specific Volume of Real Gas given Heat Capacities

What is the formula to find Specific Volume of Real Gas given Heat Capacities?

The formula of Specific Volume of Real Gas given Heat Capacities is expressed as Specific Volume = ((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Temperature*(Coefficient of Thermal Expansion^2)). Here is an example- 24970.59 = ((1001-718)*75)/(85*(0.1^2)).

How to calculate Specific Volume of Real Gas given Heat Capacities?

With Heat Capacity Constant Pressure (C_p), Heat Capacity Constant Volume (C_v), Isothermal Compressibility (K_T), Temperature (T) & Coefficient of Thermal Expansion (α) we can find Specific Volume of Real Gas given Heat Capacities using the formula - Specific Volume = ((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*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=(Difference in Heat Capacities*Isothermal Compressibility)/(Temperature*(Coefficient of Thermal Expansion^2))

Can the Specific Volume of Real Gas given Heat Capacities be negative?

No, the Specific Volume of Real Gas given Heat Capacities, measured in Specific Volume cannot be negative.

Which unit is used to measure Specific Volume of Real Gas given Heat Capacities?

Specific Volume of Real Gas given Heat Capacities 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 Heat Capacities can be measured.

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Specific Volume of Real Gas given Heat Capacities Formula

​GoSpecific Volume of Real Gas given Difference between Cp and Cv Formula

Specific Volume of Real Gas given Heat Capacities Example

Specific Volume of Real Gas given Heat Capacities Solution

Specific Volume of Real Gas given Heat Capacities Formula Elements

Other Formulas to find Specific Volume

Other formulas in Specific Heat Capacity category

How to Evaluate Specific Volume of Real Gas given Heat Capacities?

FAQs on Specific Volume of Real Gas given Heat Capacities

Variable Name

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