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Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters Formula

GoPressure of Real Gas using Berthelot Equation Formula

GoPressure using Modified Berthelot Equation given Reduced and Actual Parameters Formula

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

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

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

Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters Example

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

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

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

418.3093 = (\frac{8.3145 \cdot (10 \cdot 647)}{(11.2 \cdot 11.5) - 0.2}) - (\frac{0.1}{(10 \cdot 647) \cdot ({(11.2 \cdot 11.5)}^{2})})

418.3093Pa = (\frac{8.3145 \cdot (10 \cdot 647K)}{(11.2 \cdot 11.5m³/mol) - 0.2}) - (\frac{0.1}{(10 \cdot 647K) \cdot ({(11.2 \cdot 11.5m³/mol)}^{2})})

418.3093 = (\frac{8.3145 \cdot (10 \cdot 647)}{(11.2 \cdot 11.5) - 0.2}) - (\frac{0.1}{(10 \cdot 647) \cdot ({(11.2 \cdot 11.5)}^{2})})

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Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

p = (\frac{[R] \cdot (10 \cdot 647K)}{(11.2 \cdot 11.5m³/mol) - 0.2}) - (\frac{0.1}{(10 \cdot 647K) \cdot ({(11.2 \cdot 11.5m³/mol)}^{2})})

Next Step Substitute values of Constants

∴

p = (\frac{8.3145 \cdot (10 \cdot 647K)}{(11.2 \cdot 11.5m³/mol) - 0.2}) - (\frac{0.1}{(10 \cdot 647K) \cdot ({(11.2 \cdot 11.5m³/mol)}^{2})})

Next Step Prepare to Evaluate

∴

p = (\frac{8.3145 \cdot (10 \cdot 647)}{(11.2 \cdot 11.5) - 0.2}) - (\frac{0.1}{(10 \cdot 647) \cdot ({(11.2 \cdot 11.5)}^{2})})

Next Step Evaluate

∴

p = 418.309277910822Pa

LAST Step Rounding Answer

∴

p = 418.3093Pa

Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters Formula Elements

Variables

Constants

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

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

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 Pressure

Go Pressure of Real Gas using Berthelot Equation

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

Go Pressure using Modified Berthelot Equation given Reduced and Actual Parameters

p = ([R] \cdot \frac{T}{V m}) \cdot (1 + ((\frac{9 \cdot P r}{128 \cdot T r}) \cdot (1 - (\frac{6}{({T r}^{2})}))))

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

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})}

How to Evaluate Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters?

Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters evaluator uses Pressure = (([R]*(Reduced Temperature*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Berthelot Parameter b))-(Berthelot Parameter a/((Reduced Temperature*Critical Temperature)*((Reduced Molar Volume*Critical Molar Volume)^2))) to evaluate the Pressure, The Pressure of Real Gas using Berthelot equation given critical and reduced parameters is the stress on the walls of its container that the gas exerts. Pressure is denoted by p symbol.

How to evaluate Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters using this online evaluator? To use this online evaluator for Pressure of Real Gas using Berthelot Equation 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) & Berthelot Parameter a (a) and hit the calculate button.

FAQs on Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters

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

The formula of Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters is expressed as Pressure = (([R]*(Reduced Temperature*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Berthelot Parameter b))-(Berthelot Parameter a/((Reduced Temperature*Critical Temperature)*((Reduced Molar Volume*Critical Molar Volume)^2))). Here is an example- 418.3093 = (([R]*(10*647))/((11.2*11.5)-0.2))-(0.1/((10*647)*((11.2*11.5)^2))).

How to calculate Pressure of Real Gas using Berthelot Equation 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) & Berthelot Parameter a (a) we can find Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters using the formula - Pressure = (([R]*(Reduced Temperature*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Berthelot Parameter b))-(Berthelot Parameter a/((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 Pressure?

Here are the different ways to Calculate Pressure-

Pressure=(([R]*Temperature)/(Molar Volume-Berthelot Parameter b))-(Berthelot Parameter a/(Temperature*(Molar Volume^2)))
Pressure=([R]*Temperature/Molar Volume)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2))))))

Can the Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters be negative?

Yes, the Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters, measured in Pressure can be negative.

Which unit is used to measure Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters?

Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters can be measured.

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Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters Formula

​GoPressure of Real Gas using Berthelot Equation Formula

​GoPressure using Modified Berthelot Equation given Reduced and Actual Parameters Formula

Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters Example

Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters Solution

Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters Formula Elements

Other Formulas to find Pressure

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

How to Evaluate Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters?

FAQs on Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters

Variable Name

GoPressure of Real Gas using Berthelot Equation Formula

GoPressure using Modified Berthelot Equation given Reduced and Actual Parameters Formula