Clausius Parameter given Critical Parameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
Clausius Parameter a = (27*([R]^2)*(Critical Temperature^3))/(64*Critical Pressure)
a = (27*([R]^2)*(Tc^3))/(64*Pc)
This formula uses 1 Constants, 3 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.
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 Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
STEP 1: Convert Input(s) to Base Unit
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = (27*([R]^2)*(Tc^3))/(64*Pc) --> (27*([R]^2)*(647^3))/(64*218)
Evaluating ... ...
a = 36233351.6326688
STEP 3: Convert Result to Output's Unit
36233351.6326688 --> No Conversion Required
FINAL ANSWER
36233351.6326688 3.6E+7 <-- Clausius Parameter 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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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 Parameter given Critical Parameters Formula

Clausius Parameter a = (27*([R]^2)*(Critical Temperature^3))/(64*Critical Pressure)
a = (27*([R]^2)*(Tc^3))/(64*Pc)

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 Parameter given Critical Parameters?

Clausius Parameter given Critical Parameters calculator uses Clausius Parameter a = (27*([R]^2)*(Critical Temperature^3))/(64*Critical Pressure) to calculate the Clausius Parameter a, Clausius parameter given critical parameters formula is defined as empirical parameter characteristic to equation obtained from Clausius model of real gas. Clausius Parameter a is denoted by a symbol.

How to calculate Clausius Parameter given Critical Parameters using this online calculator? To use this online calculator for Clausius Parameter given Critical Parameters, enter Critical Temperature (Tc) & Critical Pressure (Pc) and hit the calculate button. Here is how the Clausius Parameter given Critical Parameters calculation can be explained with given input values -> 3.6E+7 = (27*([R]^2)*(647^3))/(64*218).

FAQ

What is Clausius Parameter given Critical Parameters?
Clausius parameter given critical parameters formula is defined as empirical parameter characteristic to equation obtained from Clausius model of real gas and is represented as a = (27*([R]^2)*(Tc^3))/(64*Pc) or Clausius Parameter a = (27*([R]^2)*(Critical Temperature^3))/(64*Critical Pressure). 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 Pressure is the minimum pressure required to liquify a substance at the critical temperature.
How to calculate Clausius Parameter given Critical Parameters?
Clausius parameter given critical parameters formula is defined as empirical parameter characteristic to equation obtained from Clausius model of real gas is calculated using Clausius Parameter a = (27*([R]^2)*(Critical Temperature^3))/(64*Critical Pressure). To calculate Clausius Parameter given Critical Parameters, you need Critical Temperature (Tc) & Critical Pressure (Pc). With our tool, you need to enter the respective value for Critical Temperature & Critical Pressure 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 Critical Temperature & Critical Pressure. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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))
  • 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))
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