Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure given a = ((27*([R]^2)*(Critical Temperature For Clausius Model^3))/(64*Clausius Parameter a))*Reduced Pressure
Pa = ((27*([R]^2)*(T'c^3))/(64*a))*Pr
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Pressure given a - (Measured in Pascal) - Pressure given a is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Critical Temperature For Clausius Model - (Measured in Kelvin) - Critical Temperature For Clausius Model is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, the substance can exist both as a liquid and vapor.
Clausius Parameter a - Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
STEP 1: Convert Input(s) to Base Unit
Critical Temperature For Clausius Model: 154.4 Kelvin --> 154.4 Kelvin No Conversion Required
Clausius Parameter a: 0.1 --> No Conversion Required
Reduced Pressure: 0.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pa = ((27*([R]^2)*(T'c^3))/(64*a))*Pr --> ((27*([R]^2)*(154.4^3))/(64*0.1))*0.8
Evaluating ... ...
Pa = 858784179.533086
STEP 3: Convert Result to Output's Unit
858784179.533086 Pascal --> No Conversion Required
FINAL ANSWER
858784179.533086 8.6E+8 Pascal <-- Pressure given a
(Calculation completed in 00.004 seconds)

Credits

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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9 Actual Pressure of Real Gas Calculators

Actual Pressure of Real Gas given Clausius Parameter b, Reduced and Actual Parameters
Go Pressure given b = (([R]*(Temperature of Real Gas/Reduced Temperature))/(4*((Volume of Real Gas/Reduced Volume)-Clausius Parameter b for Real Gas)))*Reduced Pressure
Actual Pressure of Real Gas given Clausius Parameter c, Reduced and Actual Parameters
Go Pressure given c = ((3*[R]*(Temperature of Real Gas/Reduced Temperature))/(8*(Clausius Parameter c+(Volume of Real Gas/Reduced Volume))))*Reduced Pressure
Actual Pressure of Real Gas given Clausius Parameter b, Actual and Critical Parameters
Go Pressure = (([R]*Critical Temperature For Clausius Model)/(4*(Critical Volume-Clausius Parameter b for Real Gas)))*Critical Pressure of Real Gas
Actual Pressure of Real Gas given Clausius Parameter c, Actual and Critical Parameters
Go Pressure = ((3*[R]*Critical Temperature For Clausius Model)/(8*(Clausius Parameter c+Critical Volume)))*Critical Pressure of Real Gas
Actual Pressure of Real Gas given Clausius Parameter b, Reduced and Critical Parameters
Go Pressure = (([R]*Critical Temperature For Clausius Model)/(4*(Critical Volume-Clausius Parameter b for Real Gas)))*Reduced Pressure
Actual Pressure of Real Gas given Clausius Parameter c, Reduced and Critical Parameters
Go Pressure = ((3*[R]*Critical Temperature For Clausius Model)/(8*(Clausius Parameter c+Critical Volume)))*Reduced Pressure
Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Actual Parameters
Go Pressure = ((27*([R]^2)*((Temperature of Real Gas/Reduced Temperature) ^3))/(64*Clausius Parameter a))*Reduced Pressure
Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters
Go Pressure given a = ((27*([R]^2)*(Critical Temperature For Clausius Model^3))/(64*Clausius Parameter a))*Reduced Pressure
Actual Pressure of Real Gas using Critical and Reduced Pressure
Go Pressure = Reduced Pressure*Critical Pressure of Real Gas

19 Important Formulae on Clausius Model of Real Gas Calculators

Temperature of Real Gas using Clausius Equation given Reduced and Critical Parameters
Go Temperature given CE = ((Reduced Pressure*Critical Pressure of Real Gas)+(Clausius Parameter a/((((Reduced Molar Volume for Real Gas*Critical Molar Volume)+Clausius Parameter c)^2))))*(((Reduced Molar Volume for Real Gas*Critical Molar Volume)-Clausius Parameter b for Real Gas)/[R])
Reduced Temperature of Real Gas using Clausius Equation given Reduced and Actual Parameters
Go Reduced Temperature given RP AP = ((Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]))/Temperature of Real Gas
Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters
Go Critical Molar Volume given RP = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Reduced Molar Volume for Real Gas
Critical Molar Volume using Clausius Equation given Actual and Critical Parameters
Go Critical Molar Volume given RP = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Molar Volume
Actual Pressure of Real Gas given Clausius Parameter b, Reduced and Actual Parameters
Go Pressure given b = (([R]*(Temperature of Real Gas/Reduced Temperature))/(4*((Volume of Real Gas/Reduced Volume)-Clausius Parameter b for Real Gas)))*Reduced Pressure
Reduced Volume of Real Gas given Clausius Parameter c, Reduced and Actual Parameters
Go Reduced Volume given RP AP = Volume of Real Gas/(((3*[R]*(Real Gas Temperature/Reduced Temperature))/(8*(Real Gas Pressure/Reduced Pressure)))-Clausius Parameter c)
Clausius Parameter b given Reduced and Actual Parameters
Go Clausius Parameter b given RP = (Volume of Real Gas/Reduced Volume)-(([R]* (Temperature of Real Gas/Reduced Temperature))/(4*(Pressure/Reduced Pressure)))
Actual Pressure of Real Gas given Clausius Parameter c, Reduced and Actual Parameters
Go Pressure given c = ((3*[R]*(Temperature of Real Gas/Reduced Temperature))/(8*(Clausius Parameter c+(Volume of Real Gas/Reduced Volume))))*Reduced Pressure
Temperature of Real Gas using Clausius Equation
Go Temperature given CE = (Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R])
Molar Volume of Real Gas using Clausius Equation
Go Molar Volume given CE = (([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas
Actual Volume of Real Gas using Clausius Parameter b, Reduced and Critical Parameters
Go Volume of Real Gas given CP = (Clausius Parameter b for Real Gas+(([R]*Critical Temperature For Clausius Model)/(4*Critical Pressure of Real Gas)))*Reduced Volume
Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters
Go Critical temperature given RP = ((Clausius Parameter c+(Volume of Real Gas/Reduced Volume))*8*(Pressure/Reduced Pressure))/(3*[R])
Actual Volume of Real Gas using Clausius Parameter c, Reduced and Critical Parameters
Go Volume of Real Gas given CP = (((3*[R]*Critical Temperature)/(8*Critical Pressure of Real Gas))-Clausius Parameter c)*Reduced Molar Volume for Real Gas
Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters
Go Temperature given RP = (((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3))*Reduced Temperature
Clausius Parameter c given Critical Parameters
Go Clausius Parameter c given CP = ((3*[R]*Critical Temperature)/(8*Critical Pressure))-Critical Volume
Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters
Go Pressure given a = ((27*([R]^2)*(Critical Temperature For Clausius Model^3))/(64*Clausius Parameter a))*Reduced Pressure
Actual Temperature of Real Gas using Critical and Reduced Temperature
Go Temperature given RT = Reduced Temperature*Critical Temperature For Clausius Model
Reduced Pressure of Real Gas using Actual and Critical Pressure
Go Reduced Pressure given RP AP = Pressure of Gas/Critical Pressure of Real Gas
Critical Pressure of Real Gas using Actual and Reduced Pressure
Go Critical Pressure given RP = Pressure/Reduced Pressure

Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters Formula

Pressure given a = ((27*([R]^2)*(Critical Temperature For Clausius Model^3))/(64*Clausius Parameter a))*Reduced Pressure
Pa = ((27*([R]^2)*(T'c^3))/(64*a))*Pr

What are Real Gases?

Real gases are non ideal gases whose molecules occupy space and have interactions; consequently, they do not adhere to the ideal gas law. To understand the behavior of real gases, the following must be taken into account:
- compressibility effects;
- variable specific heat capacity;
- van der Waals forces;
- non-equilibrium thermodynamic effects;
- issues with molecular dissociation and elementary reactions with variable composition.

How to Calculate Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters?

Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters calculator uses Pressure given a = ((27*([R]^2)*(Critical Temperature For Clausius Model^3))/(64*Clausius Parameter a))*Reduced Pressure to calculate the Pressure given a, The Actual Pressure of real gas given Clausius parameter a, reduced and critical parameters formula is defined as the physical force exerted on the walls of the container by a real gas. Pressure given a is denoted by Pa symbol.

How to calculate Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters using this online calculator? To use this online calculator for Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters, enter Critical Temperature For Clausius Model (T'c), Clausius Parameter a (a) & Reduced Pressure (Pr) and hit the calculate button. Here is how the Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters calculation can be explained with given input values -> 6.3E+10 = ((27*([R]^2)*(154.4^3))/(64*0.1))*0.8.

FAQ

What is Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters?
The Actual Pressure of real gas given Clausius parameter a, reduced and critical parameters formula is defined as the physical force exerted on the walls of the container by a real gas and is represented as Pa = ((27*([R]^2)*(T'c^3))/(64*a))*Pr or Pressure given a = ((27*([R]^2)*(Critical Temperature For Clausius Model^3))/(64*Clausius Parameter a))*Reduced Pressure. Critical Temperature For Clausius Model is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, the substance can exist both as a liquid and vapor, Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas & Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
How to calculate Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters?
The Actual Pressure of real gas given Clausius parameter a, reduced and critical parameters formula is defined as the physical force exerted on the walls of the container by a real gas is calculated using Pressure given a = ((27*([R]^2)*(Critical Temperature For Clausius Model^3))/(64*Clausius Parameter a))*Reduced Pressure. To calculate Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters, you need Critical Temperature For Clausius Model (T'c), Clausius Parameter a (a) & Reduced Pressure (Pr). With our tool, you need to enter the respective value for Critical Temperature For Clausius Model, Clausius Parameter a & Reduced Pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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