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

GoIsothermal Compressibility of Real Gas 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})}{δC pv}

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

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

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

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

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

1.87 = \frac{11 \cdot 85 \cdot ({0.1}^{2})}{5}

1.87m²/N = \frac{11m³/kg \cdot 85K \cdot ({0.1K⁻¹}^{2})}{5J/(kg*K)}

1.87 = \frac{11 \cdot 85 \cdot ({0.1}^{2})}{5}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K T = \frac{11m³/kg \cdot 85K \cdot ({0.1K⁻¹}^{2})}{5J/(kg*K)}

Next Step Prepare to Evaluate

∴

K T = \frac{11 \cdot 85 \cdot ({0.1}^{2})}{5}

LAST Step Evaluate

∴

K T = 1.87m²/N

Isothermal Compressibility of Real Gas given Difference between Cp and Cv 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

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

Other Formulas to find Isothermal Compressibility

Go Isothermal Compressibility of Real Gas

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

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 given Difference between Cp and Cv?

Isothermal Compressibility of Real Gas given Difference between Cp and Cv evaluator uses Isothermal Compressibility = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Difference in Heat Capacities to evaluate the Isothermal Compressibility, The Isothermal compressibility of real gas given difference between Cp and Cv 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 given Difference between Cp and Cv using this online evaluator? To use this online evaluator for Isothermal Compressibility of Real Gas given Difference between Cp and Cv, enter Specific Volume (v), Temperature (T), Coefficient of Thermal Expansion (α) & Difference in Heat Capacities (δC_pv) and hit the calculate button.

FAQs on Isothermal Compressibility of Real Gas given Difference between Cp and Cv

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

The formula of Isothermal Compressibility of Real Gas given Difference between Cp and Cv is expressed as Isothermal Compressibility = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Difference in Heat Capacities. Here is an example- 1.87 = (11*85*(0.1^2))/5.

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

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

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))/(Heat Capacity Constant Pressure-Heat Capacity Constant Volume)

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

Yes, the Isothermal Compressibility of Real Gas given Difference between Cp and Cv, measured in Compressibility can be negative.

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

Isothermal Compressibility of Real Gas given Difference between Cp and Cv 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 given Difference between Cp and Cv can be measured.

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

​GoIsothermal Compressibility of Real Gas Formula

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

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

Isothermal Compressibility of Real Gas given Difference between Cp and Cv Formula Elements

Other Formulas to find Isothermal Compressibility

Other formulas in Specific Heat Capacity category

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

FAQs on Isothermal Compressibility of Real Gas given Difference between Cp and Cv

Variable Name

GoIsothermal Compressibility of Real Gas Formula