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Isothermal Compressibility of Real Gas Formula

GoIsothermal Compressibility of Real Gas given Difference between Cp and Cv Formula

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The isothermal compressibility is the change in volume due to change in pressure at constant temperature. Check FAQs

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

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

Isothermal Compressibility of Real Gas Example

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Here is how the Isothermal Compressibility of Real Gas equation looks like with Values.

Here is how the Isothermal Compressibility of Real Gas equation looks like with Units.

Here is how the Isothermal Compressibility of Real Gas equation looks like.

0.033 = \frac{11 \cdot 85 \cdot ({0.1}^{2})}{1001 - 718}

0.033m²/N = \frac{11m³/kg \cdot 85K \cdot ({0.1K⁻¹}^{2})}{1001J/(kg*K) - 718J/(kg*K)}

0.033 = \frac{11 \cdot 85 \cdot ({0.1}^{2})}{1001 - 718}

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Isothermal Compressibility of Real Gas Solution

Follow our step by step solution on how to calculate Isothermal Compressibility of Real Gas?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K T = \frac{11m³/kg \cdot 85K \cdot ({0.1K⁻¹}^{2})}{1001J/(kg*K) - 718J/(kg*K)}

Next Step Prepare to Evaluate

∴

K T = \frac{11 \cdot 85 \cdot ({0.1}^{2})}{1001 - 718}

Next Step Evaluate

∴

K T = 0.0330388692579505m²/N

LAST Step Rounding Answer

∴

K T = 0.033m²/N

Isothermal Compressibility of Real Gas Formula Elements

Variables

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

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

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

Other Formulas to find Isothermal Compressibility

Go Isothermal Compressibility of Real Gas given Difference between Cp and Cv

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

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 Isothermal Compressibility of Real Gas?

Isothermal Compressibility of Real Gas evaluator uses Isothermal Compressibility = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/(Heat Capacity Constant Pressure-Heat Capacity Constant Volume) to evaluate the Isothermal Compressibility, The Isothermal compressibility of real gas is the change in volume due to change in pressure at constant temperature. Isothermal Compressibility is denoted by K_T symbol.

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

FAQs on Isothermal Compressibility of Real Gas

What is the formula to find Isothermal Compressibility of Real Gas?

The formula of Isothermal Compressibility of Real Gas is expressed as Isothermal Compressibility = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/(Heat Capacity Constant Pressure-Heat Capacity Constant Volume). Here is an example- 0.033039 = (11*85*(0.1^2))/(1001-718).

How to calculate Isothermal Compressibility of Real Gas?

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

What are the other ways to Calculate Isothermal Compressibility?

Here are the different ways to Calculate Isothermal Compressibility-

Isothermal Compressibility=(Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Difference in Heat Capacities

Can the Isothermal Compressibility of Real Gas be negative?

Yes, the Isothermal Compressibility of Real Gas, measured in Compressibility can be negative.

Which unit is used to measure Isothermal Compressibility of Real Gas?

Isothermal Compressibility of Real Gas is usually measured using the Square Meter per Newton[m²/N] for Compressibility. Square Centimeter per Newton[m²/N] are the few other units in which Isothermal Compressibility of Real Gas can be measured.

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Isothermal Compressibility of Real Gas Formula

​GoIsothermal Compressibility of Real Gas given Difference between Cp and Cv Formula

Isothermal Compressibility of Real Gas Example

Isothermal Compressibility of Real Gas Solution

Isothermal Compressibility of Real Gas Formula Elements

Other Formulas to find Isothermal Compressibility

Other formulas in Specific Heat Capacity category

How to Evaluate Isothermal Compressibility of Real Gas?

FAQs on Isothermal Compressibility of Real Gas

Variable Name

GoIsothermal Compressibility of Real Gas given Difference between Cp and Cv Formula