FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Heat Capacity at Constant Volume of Real Gas Formula

Fx Copy

LaTeX Copy

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

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

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

Heat Capacity at Constant Volume of Real Gas Example

With values

With units

Only example

Here is how the Heat Capacity at Constant Volume of Real Gas equation looks like with Values.

Here is how the Heat Capacity at Constant Volume of Real Gas equation looks like with Units.

Here is how the Heat Capacity at Constant Volume of Real Gas equation looks like.

1000.8753 = 1001 - (\frac{11 \cdot 85 \cdot ({0.1}^{2})}{75})

1000.8753J/(kg*K) = 1001J/(kg*K) - (\frac{11m³/kg \cdot 85K \cdot ({0.1K⁻¹}^{2})}{75m²/N})

1000.8753 = 1001 - (\frac{11 \cdot 85 \cdot ({0.1}^{2})}{75})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Kinetic Theory of Gases » Category

Real Gas » fx Heat Capacity at Constant Volume of Real Gas

Heat Capacity at Constant Volume of Real Gas Solution

Follow our step by step solution on how to calculate Heat Capacity at Constant Volume of Real Gas?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C v = 1001J/(kg*K) - (\frac{11m³/kg \cdot 85K \cdot ({0.1K⁻¹}^{2})}{75m²/N})

Next Step Prepare to Evaluate

∴

C v = 1001 - (\frac{11 \cdot 85 \cdot ({0.1}^{2})}{75})

Next Step Evaluate

∴

C v = 1000.87533333333J/(kg*K)

LAST Step Rounding Answer

∴

C v = 1000.8753J/(kg*K)

Heat Capacity at Constant Volume of Real Gas Formula Elements

Variables

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

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

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 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 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 Heat Capacity at Constant Volume of Real Gas?

Heat Capacity at Constant Volume of Real Gas evaluator uses Heat Capacity Constant Volume = Heat Capacity Constant Pressure-((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility) to evaluate the Heat Capacity Constant Volume, The Heat Capacity at constant Volume of real gas is the amount of heat energy absorbed/released per unit mass of a substance where the volume does not change. Heat Capacity Constant Volume is denoted by C_v symbol.

How to evaluate Heat Capacity at Constant Volume of Real Gas using this online evaluator? To use this online evaluator for Heat Capacity at Constant Volume of Real Gas, enter Heat Capacity Constant Pressure (C_p), Specific Volume (v), Temperature (T), Coefficient of Thermal Expansion (α) & Isothermal Compressibility (K_T) and hit the calculate button.

FAQs on Heat Capacity at Constant Volume of Real Gas

What is the formula to find Heat Capacity at Constant Volume of Real Gas?

The formula of Heat Capacity at Constant Volume of Real Gas is expressed as Heat Capacity Constant Volume = Heat Capacity Constant Pressure-((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility). Here is an example- 1000.875 = 1001-((11*85*(0.1^2))/75).

How to calculate Heat Capacity at Constant Volume of Real Gas?

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

Can the Heat Capacity at Constant Volume of Real Gas be negative?

No, the Heat Capacity at Constant Volume of Real Gas, measured in Specific Heat Capacity cannot be negative.

Which unit is used to measure Heat Capacity at Constant Volume of Real Gas?

Heat Capacity at Constant Volume 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 Heat Capacity at Constant Volume of Real Gas can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Heat Capacity at Constant Volume of Real Gas Formula

Heat Capacity at Constant Volume of Real Gas Example

Heat Capacity at Constant Volume of Real Gas Solution

Heat Capacity at Constant Volume of Real Gas Formula Elements

Other formulas in Specific Heat Capacity category

How to Evaluate Heat Capacity at Constant Volume of Real Gas?

FAQs on Heat Capacity at Constant Volume of Real Gas

Variable Name