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

STEP 0: Pre-Calculation Summary
Formula Used
Pressure given c = ((3*[R]*(Temperature of Real Gas/Reduced Temperature))/(8*(Clausius Parameter c+(Volume of Real Gas/Reduced Volume))))*Reduced Pressure
Pc = ((3*[R]*(Trg/Tr))/(8*(c+(Vreal/Vr))))*Pr
This formula uses 1 Constants, 7 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Pressure given c - (Measured in Pascal) - Pressure given c is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
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.
Clausius Parameter c - Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Volume of Real Gas - (Measured in Cubic Meter) - Volume of Real Gas is the space occupied by that real gas at standard temperature and pressure.
Reduced Volume - (Measured in Cubic Meter) - Reduced Volume of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume.
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
Clausius Parameter c: 0.0002 --> No Conversion Required
Volume of Real Gas: 22 Liter --> 0.022 Cubic Meter (Check conversion ​here)
Reduced Volume: 9.5 Liter --> 0.0095 Cubic Meter (Check conversion ​here)
Reduced Pressure: 0.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pc = ((3*[R]*(Trg/Tr))/(8*(c+(Vreal/Vr))))*Pr --> ((3*[R]*(300/10))/(8*(0.0002+(0.022/0.0095))))*0.8
Evaluating ... ...
Pc = 32.3102347457311
STEP 3: Convert Result to Output's Unit
32.3102347457311 Pascal --> No Conversion Required
FINAL ANSWER
32.3102347457311 32.31023 Pascal <-- Pressure given c
(Calculation completed in 00.004 seconds)

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

Actual Pressure of Real Gas given Clausius Parameter b, Reduced and Actual Parameters
​ LaTeX ​ 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 b, Actual and Critical Parameters
​ LaTeX ​ 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 a, Reduced and Actual Parameters
​ LaTeX ​ 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
​ LaTeX ​ Go Pressure given a = ((27*([R]^2)*(Critical Temperature For Clausius Model^3))/(64*Clausius Parameter a))*Reduced Pressure

Important Formulae on Clausius Model of Real Gas Calculators

Actual Pressure of Real Gas given Clausius Parameter b, Reduced and Actual Parameters
​ LaTeX ​ 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
​ LaTeX ​ 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 Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters
​ LaTeX ​ Go Temperature given RP = (((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3))*Reduced Temperature
Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters
​ LaTeX ​ Go Pressure given a = ((27*([R]^2)*(Critical Temperature For Clausius Model^3))/(64*Clausius Parameter a))*Reduced Pressure

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

​LaTeX ​Go
Pressure given c = ((3*[R]*(Temperature of Real Gas/Reduced Temperature))/(8*(Clausius Parameter c+(Volume of Real Gas/Reduced Volume))))*Reduced Pressure
Pc = ((3*[R]*(Trg/Tr))/(8*(c+(Vreal/Vr))))*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 c, Reduced and Actual Parameters?

Actual Pressure of Real Gas given Clausius Parameter c, Reduced and Actual Parameters calculator uses Pressure given c = ((3*[R]*(Temperature of Real Gas/Reduced Temperature))/(8*(Clausius Parameter c+(Volume of Real Gas/Reduced Volume))))*Reduced Pressure to calculate the Pressure given c, The Actual Pressure of real gas given Clausius parameter c, reduced and actual parameters formula is defined as the physical force exerted on the walls of the container by a real gas. Pressure given c is denoted by Pc symbol.

How to calculate Actual Pressure of Real Gas given Clausius Parameter c, Reduced and Actual Parameters using this online calculator? To use this online calculator for Actual Pressure of Real Gas given Clausius Parameter c, Reduced and Actual Parameters, enter Temperature of Real Gas (Trg), Reduced Temperature (Tr), Clausius Parameter c (c), Volume of Real Gas (Vreal), Reduced Volume (Vr) & Reduced Pressure (Pr) and hit the calculate button. Here is how the Actual Pressure of Real Gas given Clausius Parameter c, Reduced and Actual Parameters calculation can be explained with given input values -> 9.154567 = ((3*[R]*(300/10))/(8*(0.0002+(0.022/0.0095))))*0.8.

FAQ

What is Actual Pressure of Real Gas given Clausius Parameter c, Reduced and Actual Parameters?
The Actual Pressure of real gas given Clausius parameter c, reduced and actual parameters formula is defined as the physical force exerted on the walls of the container by a real gas and is represented as Pc = ((3*[R]*(Trg/Tr))/(8*(c+(Vreal/Vr))))*Pr or 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 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, Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas, Volume of Real Gas is the space occupied by that real gas at standard temperature and pressure, Reduced Volume of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume & 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 c, Reduced and Actual Parameters?
The Actual Pressure of real gas given Clausius parameter c, reduced and actual parameters formula is defined as the physical force exerted on the walls of the container by a real gas is calculated using Pressure given c = ((3*[R]*(Temperature of Real Gas/Reduced Temperature))/(8*(Clausius Parameter c+(Volume of Real Gas/Reduced Volume))))*Reduced Pressure. To calculate Actual Pressure of Real Gas given Clausius Parameter c, Reduced and Actual Parameters, you need Temperature of Real Gas (Trg), Reduced Temperature (Tr), Clausius Parameter c (c), Volume of Real Gas (Vreal), Reduced Volume (Vr) & Reduced Pressure (Pr). With our tool, you need to enter the respective value for Temperature of Real Gas, Reduced Temperature, Clausius Parameter c, Volume of Real Gas, Reduced Volume & 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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