Clausius Parameter given Critical Parameters Calculator

✖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 Temperature [T_c]			+10% -10%
✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure [P_c]			+10% -10%

✖Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter given Critical Parameters [a]

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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)*(T_c^3))/(64*P_c)
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)*(T_c^3))/(64*P_c) --> (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 00.008 seconds)

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< Clausius Parameter Calculators

Clausius Parametera given Reduced and Critical Parameters using Clausius Equation

LaTeX 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 given Pressure, Temperature and Molar Volume of Real Gas

LaTeX 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 given Reduced and Actual Parameters

LaTeX Go Clausius Parameter a = (27*([R]^2)*((Temperature of Real Gas/Reduced Temperature)^3))/(64*(Pressure/Reduced Pressure))

Clausius Parameter given Critical Parameters

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

Clausius Parameter given Critical Parameters Formula

LaTeX Go

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

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 (T_c) & Critical Pressure (P_c) 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)*(T_c^3))/(64*P_c) 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 (T_c) & Critical Pressure (P_c). 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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