Clausius Parametera given Reduced and Critical Parameters using Clausius Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Clausius Parameter a = ((([R]*(Reduced Molar Volume*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Clausius Parameter b))-(Reduced Pressure*Critical Pressure))*((Reduced Temperature*Critical Temperature)*(((Reduced Molar Volume*Critical Molar Volume)+Clausius Parameter c)^2))
a = ((([R]*(Vm,r*Tc))/((Vm,r*Vm,c)-b))-(Pr*Pc))*((Tr*Tc)*(((Vm,r*Vm,c)+c)^2))
This formula uses 1 Constants, 9 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Clausius Parameter a - Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
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.
Critical Temperature - (Measured in Kelvin) - 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.
Critical Molar Volume - (Measured in Cubic Meter per Mole) - Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.
Clausius Parameter b - Clausius parameter b 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.
Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
Clausius Parameter c - Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
STEP 1: Convert Input(s) to Base Unit
Reduced Molar Volume: 11.2 --> No Conversion Required
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Critical Molar Volume: 11.5 Cubic Meter per Mole --> 11.5 Cubic Meter per Mole No Conversion Required
Clausius Parameter b: 0.15 --> No Conversion Required
Reduced Pressure: 0.8 --> No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
Clausius Parameter c: 0.0002 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = ((([R]*(Vm,r*Tc))/((Vm,r*Vm,c)-b))-(Pr*Pc))*((Tr*Tc)*(((Vm,r*Vm,c)+c)^2)) --> ((([R]*(11.2*647))/((11.2*11.5)-0.15))-(0.8*218))*((10*647)*(((11.2*11.5)+0.0002)^2))
Evaluating ... ...
a = 31548074396.715
STEP 3: Convert Result to Output's Unit
31548074396.715 --> No Conversion Required
FINAL ANSWER
31548074396.715 3.2E+10 <-- Clausius Parameter a
(Calculation completed in 00.004 seconds)

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10+ Clausius Parameter Calculators

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

Clausius Parametera given Reduced and Critical Parameters using Clausius Equation Formula

Clausius Parameter a = ((([R]*(Reduced Molar Volume*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Clausius Parameter b))-(Reduced Pressure*Critical Pressure))*((Reduced Temperature*Critical Temperature)*(((Reduced Molar Volume*Critical Molar Volume)+Clausius Parameter c)^2))
a = ((([R]*(Vm,r*Tc))/((Vm,r*Vm,c)-b))-(Pr*Pc))*((Tr*Tc)*(((Vm,r*Vm,c)+c)^2))

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 Clausius Parametera given Reduced and Critical Parameters using Clausius Equation?

Clausius Parametera given Reduced and Critical Parameters using Clausius Equation calculator uses Clausius Parameter a = ((([R]*(Reduced Molar Volume*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Clausius Parameter b))-(Reduced Pressure*Critical Pressure))*((Reduced Temperature*Critical Temperature)*(((Reduced Molar Volume*Critical Molar Volume)+Clausius Parameter c)^2)) to calculate the Clausius Parameter a, The Clausius parametera given reduced and critical parameters using Clausius equation formula is defined as an empirical parameter characteristic to equation obtained from Clausius model of real gas. Clausius Parameter a is denoted by a symbol.

How to calculate Clausius Parametera given Reduced and Critical Parameters using Clausius Equation using this online calculator? To use this online calculator for Clausius Parametera given Reduced and Critical Parameters using Clausius Equation, enter Reduced Molar Volume (Vm,r), Critical Temperature (Tc), Critical Molar Volume (Vm,c), Clausius Parameter b (b), Reduced Pressure (Pr), Critical Pressure (Pc), Reduced Temperature (Tr) & Clausius Parameter c (c) and hit the calculate button. Here is how the Clausius Parametera given Reduced and Critical Parameters using Clausius Equation calculation can be explained with given input values -> 3.2E+10 = ((([R]*(11.2*647))/((11.2*11.5)-0.15))-(0.8*218))*((10*647)*(((11.2*11.5)+0.0002)^2)).

FAQ

What is Clausius Parametera given Reduced and Critical Parameters using Clausius Equation?
The Clausius parametera given reduced and critical parameters using Clausius equation formula is defined as an empirical parameter characteristic to equation obtained from Clausius model of real gas and is represented as a = ((([R]*(Vm,r*Tc))/((Vm,r*Vm,c)-b))-(Pr*Pc))*((Tr*Tc)*(((Vm,r*Vm,c)+c)^2)) or Clausius Parameter a = ((([R]*(Reduced Molar Volume*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Clausius Parameter b))-(Reduced Pressure*Critical Pressure))*((Reduced Temperature*Critical Temperature)*(((Reduced Molar Volume*Critical Molar Volume)+Clausius Parameter c)^2)). Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole, 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, Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole, Clausius parameter b 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, Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature, Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless & Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
How to calculate Clausius Parametera given Reduced and Critical Parameters using Clausius Equation?
The Clausius parametera given reduced and critical parameters using Clausius equation formula is defined as an empirical parameter characteristic to equation obtained from Clausius model of real gas is calculated using Clausius Parameter a = ((([R]*(Reduced Molar Volume*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Clausius Parameter b))-(Reduced Pressure*Critical Pressure))*((Reduced Temperature*Critical Temperature)*(((Reduced Molar Volume*Critical Molar Volume)+Clausius Parameter c)^2)). To calculate Clausius Parametera given Reduced and Critical Parameters using Clausius Equation, you need Reduced Molar Volume (Vm,r), Critical Temperature (Tc), Critical Molar Volume (Vm,c), Clausius Parameter b (b), Reduced Pressure (Pr), Critical Pressure (Pc), Reduced Temperature (Tr) & Clausius Parameter c (c). With our tool, you need to enter the respective value for Reduced Molar Volume, Critical Temperature, Critical Molar Volume, Clausius Parameter b, Reduced Pressure, Critical Pressure, Reduced Temperature & Clausius Parameter c and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Clausius Parameter a?
In this formula, Clausius Parameter a uses Reduced Molar Volume, Critical Temperature, Critical Molar Volume, Clausius Parameter b, Reduced Pressure, Critical Pressure, Reduced Temperature & Clausius Parameter c. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Clausius Parameter a = (27*([R]^2)*(Critical Temperature^3))/(64*Critical Pressure)
  • Clausius Parameter a = ((([R]*Temperature of Real Gas)/(Molar Volume-Clausius Parameter b))-Pressure)*(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2))
  • Clausius Parameter a = (27*([R]^2)*((Temperature of Real Gas/Reduced Temperature) ^3))/(64*(Pressure/Reduced Pressure))
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