Critical Pressure of Real Gas given Clausius Parameter b Calculator

✖Critical Temperature For Clausius Model is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, the substance can exist both as a liquid and vapor.ⓘ Critical Temperature For Clausius Model [T'_c]			+10% -10%
✖The Critical Volume is the volume occupied by the unit mass of gas at critical temperature and pressure.ⓘ Critical Volume [V_c]			+10% -10%
✖Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter b for Real Gas [b']			+10% -10%

✖Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure of Real Gas given Clausius Parameter b [P'_c]

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Critical Pressure of Real Gas given Clausius Parameter b Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Pressure of Real Gas = ([R]*Critical Temperature For Clausius Model)/(4*(Critical Volume-Clausius Parameter b for Real Gas))
P'_c = ([R]*T'_c)/(4*(V_c-b'))
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Critical Pressure of Real Gas - (Measured in Pascal) - Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature.
Critical Temperature For Clausius Model - (Measured in Kelvin) - Critical Temperature For Clausius Model is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, the substance can exist both as a liquid and vapor.
Critical Volume - (Measured in Cubic Meter) - The Critical Volume is the volume occupied by the unit mass of gas at critical temperature and pressure.
Clausius Parameter b for Real Gas - Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas.

STEP 1: Convert Input(s) to Base Unit

Critical Temperature For Clausius Model: 154.4 Kelvin --> 154.4 Kelvin No Conversion Required
Critical Volume: 10 Liter --> 0.01 Cubic Meter (Check conversion here)
Clausius Parameter b for Real Gas: 0.00243 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P'_c = ([R]*T'_c)/(4*(V_c-b')) --> ([R]*154.4)/(4*(0.01-0.00243))

Evaluating ... ...

P'_c = 42396.0709459333

STEP 3: Convert Result to Output's Unit

42396.0709459333 Pascal --> No Conversion Required

FINAL ANSWER

42396.0709459333 ≈ 42396.07 Pascal <-- Critical Pressure of Real Gas

(Calculation completed in 00.004 seconds)

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

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< Critical Pressure Calculators

Critical Pressure of Real Gas using Clausius Equation given Reduced and Critical Parameters

LaTeX Go Critical Pressure of Real Gas = ((([R]*(Reduced Temperature*Critical Temperature For Clausius Model))/((Reduced Molar Volume for Real Gas*Critical Molar Volume)-Clausius Parameter b for Real Gas))-(Clausius Parameter a/((Reduced Temperature*Critical Temperature For Clausius Model)*(((Reduced Molar Volume for Real Gas*Critical Molar Volume)+Clausius Parameter c)^2))))/Reduced Pressure

Critical Pressure of Real Gas using Clausius Equation given Reduced and Actual Parameters

LaTeX Go Critical Pressure of Real Gas = ((([R]*Temperature of Real Gas)/(Molar Volume-Clausius Parameter b for Real Gas))-(Clausius Parameter a/(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2))))/Reduced Pressure

Critical Pressure of Real Gas using Clausius Equation given Actual and Critical Parameters

Critical Pressure of Real Gas given Clausius Parameter a

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

Critical Pressure of Real Gas given Clausius Parameter b Formula

LaTeX Go

Critical Pressure of Real Gas = ([R]*Critical Temperature For Clausius Model)/(4*(Critical Volume-Clausius Parameter b for Real Gas))
P'_c = ([R]*T'_c)/(4*(V_c-b'))

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 Critical Pressure of Real Gas given Clausius Parameter b?

Critical Pressure of Real Gas given Clausius Parameter b calculator uses Critical Pressure of Real Gas = ([R]*Critical Temperature For Clausius Model)/(4*(Critical Volume-Clausius Parameter b for Real Gas)) to calculate the Critical Pressure of Real Gas, The Critical Pressure of real gas given Clausius parameter b formula is defined as the minimum pressure required to liquify a substance at the critical temperature. Critical Pressure of Real Gas is denoted by P'_c symbol.

How to calculate Critical Pressure of Real Gas given Clausius Parameter b using this online calculator? To use this online calculator for Critical Pressure of Real Gas given Clausius Parameter b, enter Critical Temperature For Clausius Model (T'_c), Critical Volume (V_c) & Clausius Parameter b for Real Gas (b') and hit the calculate button. Here is how the Critical Pressure of Real Gas given Clausius Parameter b calculation can be explained with given input values -> 177657.1 = ([R]*154.4)/(4*(0.01-0.00243)).

FAQ

What is Critical Pressure of Real Gas given Clausius Parameter b?

The Critical Pressure of real gas given Clausius parameter b formula is defined as the minimum pressure required to liquify a substance at the critical temperature and is represented as P'_c = ([R]*T'_c)/(4*(V_c-b')) or Critical Pressure of Real Gas = ([R]*Critical Temperature For Clausius Model)/(4*(Critical Volume-Clausius Parameter b for Real Gas)). Critical Temperature For Clausius Model is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, the substance can exist both as a liquid and vapor, The Critical Volume is the volume occupied by the unit mass of gas at critical temperature and pressure & Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas.

How to calculate Critical Pressure of Real Gas given Clausius Parameter b?

The Critical Pressure of real gas given Clausius parameter b formula is defined as the minimum pressure required to liquify a substance at the critical temperature is calculated using Critical Pressure of Real Gas = ([R]*Critical Temperature For Clausius Model)/(4*(Critical Volume-Clausius Parameter b for Real Gas)). To calculate Critical Pressure of Real Gas given Clausius Parameter b, you need Critical Temperature For Clausius Model (T'_c), Critical Volume (V_c) & Clausius Parameter b for Real Gas (b'). With our tool, you need to enter the respective value for Critical Temperature For Clausius Model, Critical Volume & Clausius Parameter b for Real Gas 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 Critical Pressure of Real Gas?

In this formula, Critical Pressure of Real Gas uses Critical Temperature For Clausius Model, Critical Volume & Clausius Parameter b for Real Gas. We can use 3 other way(s) to calculate the same, which is/are as follows -

Critical Pressure of Real Gas = ((([R]*Temperature of Real Gas)/(Molar Volume-Clausius Parameter b for Real Gas))-(Clausius Parameter a/(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2))))/Pressure
Critical Pressure of Real Gas = ((([R]*Temperature of Real Gas)/(Molar Volume-Clausius Parameter b for Real Gas))-(Clausius Parameter a/(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2))))/Reduced Pressure
Critical Pressure of Real Gas = ((([R]*(Reduced Temperature*Critical Temperature For Clausius Model))/((Reduced Molar Volume for Real Gas*Critical Molar Volume)-Clausius Parameter b for Real Gas))-(Clausius Parameter a/((Reduced Temperature*Critical Temperature For Clausius Model)*(((Reduced Molar Volume for Real Gas*Critical Molar Volume)+Clausius Parameter c)^2))))/Reduced Pressure

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