Clausius Parameter given Reduced and Actual Parameters Calculator

✖Temperature of Real Gas is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Real Gas [T_rg]			+10% -10%
✖Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.ⓘ Reduced Temperature [T_r]			+10% -10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [p]			+10% -10%
✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure [P_r]			+10% -10%

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

⎘ Copy

👎

Formula

✖

Clausius Parameter given Reduced and Actual Parameters

Formula

`"a" = (27*("[R]"^2)*(("T"_{"rg"}/"T"_{"r"}) ^3))/(64*("p"/"P"_{"r"}))`

Example

`"787.4372"=(27*("[R]"^2)*(("300K"/"10") ^3))/(64*("800Pa"/"0.8"))`

Calculator

LaTeX

Reset

👍

Download Clausius Model of Real Gas Formula PDF

Clausius Parameter given Reduced and Actual Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Clausius Parameter a = (27*([R]^2)*((Temperature of Real Gas/Reduced Temperature) ^3))/(64*(Pressure/Reduced Pressure))
a = (27*([R]^2)*((T_rg/T_r) ^3))/(64*(p/P_r))
This formula uses 1 Constants, 5 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.
Temperature of Real Gas - (Measured in Kelvin) - Temperature of Real Gas is the degree or intensity of heat present in a substance or object.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
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

Temperature of Real Gas: 300 Kelvin --> 300 Kelvin No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Reduced Pressure: 0.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = (27*([R]^2)*((T_rg/T_r) ^3))/(64*(p/P_r)) --> (27*([R]^2)*((300/10) ^3))/(64*(800/0.8))

Evaluating ... ...

a = 787.437193910917

STEP 3: Convert Result to Output's Unit

787.437193910917 --> No Conversion Required

FINAL ANSWER

787.437193910917 ≈ 787.4372 <-- Clausius Parameter a

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Kinetic Theory of Gases » Real Gas » Clausius Model of Real Gas » Clausius Parameter » Clausius Parameter given Reduced and Actual Parameters

Credits

Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has created this Calculator and 800+ more calculators!

Verified by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

Prashant Singh has verified this Calculator and 500+ more calculators!

< 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 Reduced and Actual Parameters Formula

Clausius Parameter a = (27*([R]^2)*((Temperature of Real Gas/Reduced Temperature) ^3))/(64*(Pressure/Reduced Pressure))
a = (27*([R]^2)*((T_rg/T_r) ^3))/(64*(p/P_r))

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 Reduced and Actual Parameters?

Clausius Parameter given Reduced and Actual Parameters calculator uses Clausius Parameter a = (27*([R]^2)*((Temperature of Real Gas/Reduced Temperature) ^3))/(64*(Pressure/Reduced Pressure)) to calculate the Clausius Parameter a, Clausius parameter given reduced and actual 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 Reduced and Actual Parameters using this online calculator? To use this online calculator for Clausius Parameter given Reduced and Actual Parameters, enter Temperature of Real Gas (T_rg), Reduced Temperature (T_r), Pressure (p) & Reduced Pressure (P_r) and hit the calculate button. Here is how the Clausius Parameter given Reduced and Actual Parameters calculation can be explained with given input values -> 17.91055 = (27*([R]^2)*((300/10) ^3))/(64*(800/0.8)).

FAQ

What is Clausius Parameter given Reduced and Actual Parameters?

Clausius parameter given reduced and actual 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_rg/T_r) ^3))/(64*(p/P_r)) or Clausius Parameter a = (27*([R]^2)*((Temperature of Real Gas/Reduced Temperature) ^3))/(64*(Pressure/Reduced Pressure)). Temperature of Real Gas is the degree or intensity of heat present in a substance or object, Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.

How to calculate Clausius Parameter given Reduced and Actual Parameters?

Clausius parameter given reduced and actual 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)*((Temperature of Real Gas/Reduced Temperature) ^3))/(64*(Pressure/Reduced Pressure)). To calculate Clausius Parameter given Reduced and Actual Parameters, you need Temperature of Real Gas (T_rg), Reduced Temperature (T_r), Pressure (p) & Reduced Pressure (P_r). With our tool, you need to enter the respective value for Temperature of Real Gas, Reduced Temperature, Pressure & Reduced 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 Temperature of Real Gas, Reduced Temperature, Pressure & Reduced Pressure. 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 = ((([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))

Home

FREE PDFs

🔍 Search