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Berthelot Parameter of Real Gas given Critical and Reduced Parameters Formula

GoBerthelot Parameter of Real Gas Formula

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

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

a - Berthelot Parameter a?T_r - Reduced Temperature?T_c - Critical Temperature?V_m,r - Reduced Molar Volume?V_m,c - Critical Molar Volume?b - Berthelot Parameter b?P_r - Reduced Pressure?P_c - Critical Pressure?[R] - Universal gas constant?

Berthelot Parameter of Real Gas given Critical and Reduced Parameters Example

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Here is how the Berthelot Parameter of Real Gas given Critical and Reduced Parameters equation looks like with Values.

Here is how the Berthelot Parameter of Real Gas given Critical and Reduced Parameters equation looks like with Units.

Here is how the Berthelot Parameter of Real Gas given Critical and Reduced Parameters equation looks like.

4.5E+10 = ((\frac{8.3145 \cdot (10 \cdot 647)}{(11.2 \cdot 11.5) - 0.2}) - (3.7E-5 \cdot 218)) \cdot ((10 \cdot 647) \cdot ({(11.2 \cdot 11.5)}^{2}))

4.5E+10 = ((\frac{8.3145 \cdot (10 \cdot 647K)}{(11.2 \cdot 11.5m³/mol) - 0.2}) - (3.7E-5 \cdot 218Pa)) \cdot ((10 \cdot 647K) \cdot ({(11.2 \cdot 11.5m³/mol)}^{2}))

4.5E+10 = ((\frac{8.3145 \cdot (10 \cdot 647)}{(11.2 \cdot 11.5) - 0.2}) - (3.7E-5 \cdot 218)) \cdot ((10 \cdot 647) \cdot ({(11.2 \cdot 11.5)}^{2}))

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Berthelot Parameter of Real Gas given Critical and Reduced Parameters Solution

Follow our step by step solution on how to calculate Berthelot Parameter of Real Gas given Critical and Reduced Parameters?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = ((\frac{[R] \cdot (10 \cdot 647K)}{(11.2 \cdot 11.5m³/mol) - 0.2}) - (3.7E-5 \cdot 218Pa)) \cdot ((10 \cdot 647K) \cdot ({(11.2 \cdot 11.5m³/mol)}^{2}))

Next Step Substitute values of Constants

∴

a = ((\frac{8.3145 \cdot (10 \cdot 647K)}{(11.2 \cdot 11.5m³/mol) - 0.2}) - (3.7E-5 \cdot 218Pa)) \cdot ((10 \cdot 647K) \cdot ({(11.2 \cdot 11.5m³/mol)}^{2}))

Next Step Prepare to Evaluate

∴

a = ((\frac{8.3145 \cdot (10 \cdot 647)}{(11.2 \cdot 11.5) - 0.2}) - (3.7E-5 \cdot 218)) \cdot ((10 \cdot 647) \cdot ({(11.2 \cdot 11.5)}^{2}))

Next Step Evaluate

∴

a = 44897812934.0698

LAST Step Rounding Answer

∴

a = 4.5E+10

Berthelot Parameter of Real Gas given Critical and Reduced Parameters Formula Elements

Variables

Constants

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

Reduced Temperature

Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.

Symbol: T_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reduced Temperature

Critical Temperature

Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.

Symbol: T_c

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Critical Temperature

Reduced Molar Volume

Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.

Symbol: V_m,r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reduced Molar Volume

Critical Molar Volume

Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.

Symbol: V_m,c

Measurement: Molar Magnetic SusceptibilityUnit: m³/mol

Note: Value can be positive or negative.

Formulas to find Critical Molar Volume

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

Reduced Pressure

Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.

Symbol: P_r

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Reduced Pressure

Critical Pressure

Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.

Symbol: P_c

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Critical Pressure

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 a

Go Berthelot Parameter of Real Gas

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

How to Evaluate Berthelot Parameter of Real Gas given Critical and Reduced Parameters?

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

How to evaluate Berthelot Parameter of Real Gas given Critical and Reduced Parameters using this online evaluator? To use this online evaluator for Berthelot Parameter of Real Gas given Critical and Reduced Parameters, enter Reduced Temperature (T_r), Critical Temperature (T_c), Reduced Molar Volume (V_m,r), Critical Molar Volume (V_m,c), Berthelot Parameter b (b), Reduced Pressure (P_r) & Critical Pressure (P_c) and hit the calculate button.

FAQs on Berthelot Parameter of Real Gas given Critical and Reduced Parameters

What is the formula to find Berthelot Parameter of Real Gas given Critical and Reduced Parameters?

The formula of Berthelot Parameter of Real Gas given Critical and Reduced Parameters is expressed as Berthelot Parameter a = ((([R]*(Reduced Temperature*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Berthelot Parameter b))-(Reduced Pressure*Critical Pressure))*((Reduced Temperature*Critical Temperature)*((Reduced Molar Volume*Critical Molar Volume)^2)). Here is an example- 4.5E+10 = ((([R]*(10*647))/((11.2*11.5)-0.2))-(3.675E-05*218))*((10*647)*((11.2*11.5)^2)).

How to calculate Berthelot Parameter of Real Gas given Critical and Reduced Parameters?

With Reduced Temperature (T_r), Critical Temperature (T_c), Reduced Molar Volume (V_m,r), Critical Molar Volume (V_m,c), Berthelot Parameter b (b), Reduced Pressure (P_r) & Critical Pressure (P_c) we can find Berthelot Parameter of Real Gas given Critical and Reduced Parameters using the formula - Berthelot Parameter a = ((([R]*(Reduced Temperature*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Berthelot Parameter b))-(Reduced Pressure*Critical Pressure))*((Reduced Temperature*Critical Temperature)*((Reduced Molar Volume*Critical Molar Volume)^2)). This formula also uses Universal gas constant .

What are the other ways to Calculate Berthelot Parameter a?

Here are the different ways to Calculate Berthelot Parameter a-

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

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Berthelot Parameter of Real Gas given Critical and Reduced Parameters Formula

​GoBerthelot Parameter of Real Gas Formula

Berthelot Parameter of Real Gas given Critical and Reduced Parameters Example

Berthelot Parameter of Real Gas given Critical and Reduced Parameters Solution

Berthelot Parameter of Real Gas given Critical and Reduced Parameters Formula Elements

Other Formulas to find Berthelot Parameter a

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

How to Evaluate Berthelot Parameter of Real Gas given Critical and Reduced Parameters?

FAQs on Berthelot Parameter of Real Gas given Critical and Reduced Parameters

Variable Name

GoBerthelot Parameter of Real Gas Formula