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Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters Formula

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

P c = \frac{9}{128} \cdot (\frac{P rg}{T r}) \cdot (\frac{1 - (\frac{6}{{T r}^{2}})}{(\frac{P rg \cdot V' m}{[R] \cdot T rg}) - 1})

P_c - Critical Pressure?P_rg - Pressure of Gas?T_r - Reduced Temperature?V'_m - Molar Volume of Real Gas?T_rg - Temperature of Real Gas?[R] - Universal gas constant?

Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters Example

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Here is how the Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters equation looks like with Values.

Here is how the Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters equation looks like with Units.

Here is how the Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters equation looks like.

46296.1761 = \frac{9}{128} \cdot (\frac{10132}{0.461}) \cdot (\frac{1 - (\frac{6}{{0.461}^{2}})}{(\frac{10132 \cdot 0.0224}{8.3145 \cdot 300}) - 1})

46296.1761Pa = \frac{9}{128} \cdot (\frac{10132Pa}{0.461}) \cdot (\frac{1 - (\frac{6}{{0.461}^{2}})}{(\frac{10132Pa \cdot 0.0224m³}{8.3145 \cdot 300K}) - 1})

46296.1761 = \frac{9}{128} \cdot (\frac{10132}{0.461}) \cdot (\frac{1 - (\frac{6}{{0.461}^{2}})}{(\frac{10132 \cdot 0.0224}{8.3145 \cdot 300}) - 1})

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Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters Solution

Follow our step by step solution on how to calculate Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters?

FIRST Step Consider the formula

P c = \frac{9}{128} \cdot (\frac{P rg}{T r}) \cdot (\frac{1 - (\frac{6}{{T r}^{2}})}{(\frac{P rg \cdot V' m}{[R] \cdot T rg}) - 1})

Next Step Substitute values of Variables

∴

P c = \frac{9}{128} \cdot (\frac{10132Pa}{0.461}) \cdot (\frac{1 - (\frac{6}{{0.461}^{2}})}{(\frac{10132Pa \cdot 0.0224m³}{[R] \cdot 300K}) - 1})

Next Step Substitute values of Constants

∴

P c = \frac{9}{128} \cdot (\frac{10132Pa}{0.461}) \cdot (\frac{1 - (\frac{6}{{0.461}^{2}})}{(\frac{10132Pa \cdot 0.0224m³}{8.3145 \cdot 300K}) - 1})

Next Step Prepare to Evaluate

∴

P c = \frac{9}{128} \cdot (\frac{10132}{0.461}) \cdot (\frac{1 - (\frac{6}{{0.461}^{2}})}{(\frac{10132 \cdot 0.0224}{8.3145 \cdot 300}) - 1})

Next Step Evaluate

∴

P c = 46296.1760557535Pa

LAST Step Rounding Answer

∴

P c = 46296.1761Pa

Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters Formula Elements

Variables

Constants

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

Pressure of Gas

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

Symbol: P_rg

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure of Gas

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

Molar Volume of Real Gas

Molar Volume of Real Gas or Molar gas volume is one mole of any gas at a specific temperature and pressure has a fixed volume.

Symbol: V'_m

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Molar Volume of Real Gas

Temperature of Real Gas

Temperature of Real Gas is the degree or intensity of heat present in a substance or object.

Symbol: T_rg

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Real Gas

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 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 Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters?

Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters evaluator uses Critical Pressure = 9/128*(Pressure of Gas/Reduced Temperature)*((1-(6/(Reduced Temperature^2)))/(((Pressure of Gas*Molar Volume of Real Gas)/([R]*Temperature of Real Gas))-1)) to evaluate the Critical Pressure, The Critical Pressure using Modified Berthelot equation given reduced and actual parameters formula is defined as the minimum pressure required to liquify a substance at the critical temperature. Critical Pressure is denoted by P_c symbol.

How to evaluate Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters using this online evaluator? To use this online evaluator for Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters, enter Pressure of Gas (P_rg), Reduced Temperature (T_r), Molar Volume of Real Gas (V'_m) & Temperature of Real Gas (T_rg) and hit the calculate button.

FAQs on Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters

What is the formula to find Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters?

The formula of Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters is expressed as Critical Pressure = 9/128*(Pressure of Gas/Reduced Temperature)*((1-(6/(Reduced Temperature^2)))/(((Pressure of Gas*Molar Volume of Real Gas)/([R]*Temperature of Real Gas))-1)). Here is an example- 61991.5 = 9/128*(10132/0.461)*((1-(6/(0.461^2)))/(((10132*0.0224)/([R]*300))-1)).

How to calculate Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters?

With Pressure of Gas (P_rg), Reduced Temperature (T_r), Molar Volume of Real Gas (V'_m) & Temperature of Real Gas (T_rg) we can find Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters using the formula - Critical Pressure = 9/128*(Pressure of Gas/Reduced Temperature)*((1-(6/(Reduced Temperature^2)))/(((Pressure of Gas*Molar Volume of Real Gas)/([R]*Temperature of Real Gas))-1)). This formula also uses Universal gas constant .

Can the Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters be negative?

No, the Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters, measured in Pressure cannot be negative.

Which unit is used to measure Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters?

Critical Pressure using Modified Berthelot Equation given Reduced and Actual 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 Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters can be measured.

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Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters Formula

Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters Example

Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters Solution

Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters Formula Elements

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

How to Evaluate Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters?

FAQs on Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters

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