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Berthelot parameter b of Real Gas Formula

GoBerthelot Parameter b of Real Gas given Critical and Reduced Parameters Formula

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Berthelot parameter b is an empirical parameter characteristic to equation obtained from Berthelot model of real gas. Check FAQs

b = V m - (\frac{[R] \cdot T}{p + (\frac{a}{T \cdot ({V m}^{2})})})

b - Berthelot Parameter b?V_m - Molar Volume?T - Temperature?p - Pressure?a - Berthelot Parameter a?[R] - Universal gas constant?

Berthelot parameter b of Real Gas Example

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Here is how the Berthelot parameter b of Real Gas equation looks like with Values.

Here is how the Berthelot parameter b of Real Gas equation looks like with Units.

Here is how the Berthelot parameter b of Real Gas equation looks like.

21.5166 = 22.4 - (\frac{8.3145 \cdot 85}{800 + (\frac{0.1}{85 \cdot ({22.4}^{2})})})

21.5166 = 22.4m³/mol - (\frac{8.3145 \cdot 85K}{800Pa + (\frac{0.1}{85K \cdot ({22.4m³/mol}^{2})})})

21.5166 = 22.4 - (\frac{8.3145 \cdot 85}{800 + (\frac{0.1}{85 \cdot ({22.4}^{2})})})

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Berthelot parameter b of Real Gas Solution

Follow our step by step solution on how to calculate Berthelot parameter b of Real Gas?

FIRST Step Consider the formula

b = V m - (\frac{[R] \cdot T}{p + (\frac{a}{T \cdot ({V m}^{2})})})

Next Step Substitute values of Variables

∴

b = 22.4m³/mol - (\frac{[R] \cdot 85K}{800Pa + (\frac{0.1}{85K \cdot ({22.4m³/mol}^{2})})})

Next Step Substitute values of Constants

∴

b = 22.4m³/mol - (\frac{8.3145 \cdot 85K}{800Pa + (\frac{0.1}{85K \cdot ({22.4m³/mol}^{2})})})

Next Step Prepare to Evaluate

∴

b = 22.4 - (\frac{8.3145 \cdot 85}{800 + (\frac{0.1}{85 \cdot ({22.4}^{2})})})

Next Step Evaluate

∴

b = 21.5165883494104

LAST Step Rounding Answer

∴

b = 21.5166

Berthelot parameter b of Real Gas Formula Elements

Variables

Constants

Berthelot Parameter b

Berthelot parameter b is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Berthelot Parameter b

Molar Volume

Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.

Symbol: V_m

Measurement: Molar Magnetic SusceptibilityUnit: m³/mol

Note: Value can be positive or negative.

Formulas to find Molar 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

Pressure

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: p

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure

Berthelot Parameter a

Berthelot parameter a is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Berthelot Parameter a

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Other Formulas to find Berthelot Parameter b

Go Berthelot Parameter b of Real Gas given Critical and Reduced Parameters

b = (V m,r \cdot V m,c) - (\frac{[R] \cdot (T r \cdot T c)}{(P r \cdot P c) + (\frac{a}{(T r \cdot T c) \cdot ({(V m,r \cdot V m,c)}^{2})})})

Other formulas in Berthelot and Modified Berthelot Model of Real Gas category

Go Pressure of Real Gas using Berthelot Equation

p = (\frac{[R] \cdot T}{V m - b}) - (\frac{a}{T \cdot ({V m}^{2})})

Go Temperature of Real Gas using Berthelot Equation

T = \frac{p + (\frac{a}{V m})}{\frac{[R]}{V m - b}}

Go Molar Volume of Real Gas using Berthelot Equation

V m = \frac{(\frac{1}{p}) + (\frac{b}{[R] \cdot T})}{(\frac{1}{[R] \cdot T}) - (\frac{T}{a})}

Go Berthelot Parameter of Real Gas

a = ((\frac{[R] \cdot T}{V m - b}) - p) \cdot (T \cdot ({V m}^{2}))

How to Evaluate Berthelot parameter b of Real Gas?

Berthelot parameter b of Real Gas evaluator uses Berthelot Parameter b = Molar Volume-(([R]*Temperature)/(Pressure+(Berthelot Parameter a/(Temperature*(Molar Volume^2))))) to evaluate the Berthelot Parameter b, The Berthelot parameter b of Real Gas formula is defined as an empirical parameter characteristic to equation obtained from Berthelot model of real gas. Berthelot Parameter b is denoted by b symbol.

How to evaluate Berthelot parameter b of Real Gas using this online evaluator? To use this online evaluator for Berthelot parameter b of Real Gas, enter Molar Volume (V_m), Temperature (T), Pressure (p) & Berthelot Parameter a (a) and hit the calculate button.

FAQs on Berthelot parameter b of Real Gas

What is the formula to find Berthelot parameter b of Real Gas?

The formula of Berthelot parameter b of Real Gas is expressed as Berthelot Parameter b = Molar Volume-(([R]*Temperature)/(Pressure+(Berthelot Parameter a/(Temperature*(Molar Volume^2))))). Here is an example- 21.51659 = 22.4-(([R]*85)/(800+(0.1/(85*(22.4^2))))).

How to calculate Berthelot parameter b of Real Gas?

With Molar Volume (V_m), Temperature (T), Pressure (p) & Berthelot Parameter a (a) we can find Berthelot parameter b of Real Gas using the formula - Berthelot Parameter b = Molar Volume-(([R]*Temperature)/(Pressure+(Berthelot Parameter a/(Temperature*(Molar Volume^2))))). This formula also uses Universal gas constant .

What are the other ways to Calculate Berthelot Parameter b?

Here are the different ways to Calculate Berthelot Parameter b-

Berthelot Parameter b=(Reduced Molar Volume*Critical Molar Volume)-(([R]*(Reduced Temperature*Critical Temperature))/((Reduced Pressure*Critical Pressure)+(Berthelot Parameter a/((Reduced Temperature*Critical Temperature)*((Reduced Molar Volume*Critical Molar Volume)^2)))))

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Berthelot parameter b of Real Gas Formula

​GoBerthelot Parameter b of Real Gas given Critical and Reduced Parameters Formula

Berthelot parameter b of Real Gas Example

Berthelot parameter b of Real Gas Solution

Berthelot parameter b of Real Gas Formula Elements

Other Formulas to find Berthelot Parameter b

Other formulas in Berthelot and Modified Berthelot Model of Real Gas category

How to Evaluate Berthelot parameter b of Real Gas?

FAQs on Berthelot parameter b of Real Gas

Variable Name

GoBerthelot Parameter b of Real Gas given Critical and Reduced Parameters Formula