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Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature. Check FAQs
P'c=([R]TrgVm-b')-(aTrg((Vm+c)2))Pr
P'c - Critical Pressure of Real Gas?Trg - Temperature of Real Gas?Vm - Molar Volume?b' - Clausius Parameter b for Real Gas?a - Clausius Parameter a?c - Clausius Parameter c?Pr - Reduced Pressure?[R] - Universal gas constant?

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

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

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

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

139.2081Edit=(8.3145300Edit22.4Edit-0.0024Edit)-(0.1Edit300Edit((22.4Edit+0.0002Edit)2))0.8Edit
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Critical Pressure of Real Gas using Clausius Equation given Reduced and Actual Parameters Solution

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

FIRST Step Consider the formula
P'c=([R]TrgVm-b')-(aTrg((Vm+c)2))Pr
Next Step Substitute values of Variables
P'c=([R]300K22.4m³/mol-0.0024)-(0.1300K((22.4m³/mol+0.0002)2))0.8
Next Step Substitute values of Constants
P'c=(8.3145300K22.4m³/mol-0.0024)-(0.1300K((22.4m³/mol+0.0002)2))0.8
Next Step Prepare to Evaluate
P'c=(8.314530022.4-0.0024)-(0.1300((22.4+0.0002)2))0.8
Next Step Evaluate
P'c=139.208113344824Pa
LAST Step Rounding Answer
P'c=139.2081Pa

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

Variables
Constants
Critical Pressure of Real Gas
Critical Pressure of Real Gas 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.
Temperature of Real Gas
Temperature of Real Gas is the degree or intensity of heat present in a substance or object.
Symbol: Trg
Measurement: TemperatureUnit: K
Note: Value can be positive or negative.
Molar Volume
Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.
Symbol: Vm
Measurement: Molar Magnetic SusceptibilityUnit: m³/mol
Note: Value can be positive or negative.
Clausius Parameter b for Real Gas
Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Symbol: b'
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Clausius Parameter a
Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Symbol: a
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Clausius Parameter c
Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Symbol: c
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Reduced Pressure
Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
Symbol: Pr
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
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 Critical Pressure of Real Gas

​Go Critical Pressure of Real Gas using Clausius Equation given Actual and Critical Parameters
P'c=([R]TrgVm-b')-(aTrg((Vm+c)2))p
​Go Critical Pressure of Real Gas using Clausius Equation given Reduced and Critical Parameters
P'c=([R](TrT'c)(V'm,rVm,c)-b')-(a(TrT'c)(((V'm,rVm,c)+c)2))Pr

Other formulas in Critical Pressure category

​Go Critical Pressure of Real Gas using Actual and Reduced Pressure
PCP=pPr

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

Critical Pressure of Real Gas using Clausius Equation given Reduced and Actual Parameters evaluator uses Critical Pressure of Real Gas = ((([R]*Temperature of Real Gas)/(Molar Volume-Clausius Parameter b for Real Gas))-(Clausius Parameter a/(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2))))/Reduced Pressure to evaluate the Critical Pressure of Real Gas, The Critical Pressure of real gas using Clausius equation given reduced and actual parameters formula is defined as the minimum pressure required to liquify a substance at the critical temperature. Critical Pressure of Real Gas is denoted by P'c symbol.

How to evaluate Critical Pressure of Real Gas using Clausius Equation given Reduced and Actual Parameters using this online evaluator? To use this online evaluator for Critical Pressure of Real Gas using Clausius Equation given Reduced and Actual Parameters, enter Temperature of Real Gas (Trg), Molar Volume (Vm), Clausius Parameter b for Real Gas (b'), Clausius Parameter a (a), Clausius Parameter c (c) & Reduced Pressure (Pr) and hit the calculate button.

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

What is the formula to find Critical Pressure of Real Gas using Clausius Equation given Reduced and Actual Parameters?
The formula of Critical Pressure of Real Gas using Clausius Equation given Reduced and Actual Parameters is expressed as Critical Pressure of Real Gas = ((([R]*Temperature of Real Gas)/(Molar Volume-Clausius Parameter b for Real Gas))-(Clausius Parameter a/(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2))))/Reduced Pressure. Here is an example- 39.4423 = ((([R]*300)/(22.4-0.00243))-(0.1/(300*((22.4+0.0002)^2))))/0.8.
How to calculate Critical Pressure of Real Gas using Clausius Equation given Reduced and Actual Parameters?
With Temperature of Real Gas (Trg), Molar Volume (Vm), Clausius Parameter b for Real Gas (b'), Clausius Parameter a (a), Clausius Parameter c (c) & Reduced Pressure (Pr) we can find Critical Pressure of Real Gas using Clausius Equation given Reduced and Actual Parameters using the formula - Critical Pressure of Real Gas = ((([R]*Temperature of Real Gas)/(Molar Volume-Clausius Parameter b for Real Gas))-(Clausius Parameter a/(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2))))/Reduced Pressure. This formula also uses Universal gas constant .
What are the other ways to Calculate Critical Pressure of Real Gas?
Here are the different ways to Calculate Critical Pressure of Real Gas-
  • Critical Pressure of Real Gas=((([R]*Temperature of Real Gas)/(Molar Volume-Clausius Parameter b for Real Gas))-(Clausius Parameter a/(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2))))/PressureOpenImg
  • Critical Pressure of Real Gas=((([R]*(Reduced Temperature*Critical Temperature For Clausius Model))/((Reduced Molar Volume for Real Gas*Critical Molar Volume)-Clausius Parameter b for Real Gas))-(Clausius Parameter a/((Reduced Temperature*Critical Temperature For Clausius Model)*(((Reduced Molar Volume for Real Gas*Critical Molar Volume)+Clausius Parameter c)^2))))/Reduced PressureOpenImg
  • Critical Pressure of Real Gas=(27*([R]^2)*(Critical Temperature For Clausius Model^3))/(64*Clausius Parameter a)OpenImg
Can the Critical Pressure of Real Gas using Clausius Equation given Reduced and Actual Parameters be negative?
No, the Critical Pressure of Real Gas using Clausius Equation given Reduced and Actual Parameters, measured in Pressure cannot be negative.
Which unit is used to measure Critical Pressure of Real Gas using Clausius Equation given Reduced and Actual Parameters?
Critical Pressure of Real Gas using Clausius 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 of Real Gas using Clausius Equation given Reduced and Actual Parameters can be measured.
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