Critical Pressure of Real Gas using Clausius Equation given Actual and Critical 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%
✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume [V_m]			+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%
✖Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter a [a]			+10% -10%
✖Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter c [c]			+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%

✖Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure of Real Gas using Clausius Equation given Actual and Critical Parameters [P'_c]

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Formula

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

Formula

`"P'"_{"c"} = ((("[R]"*"T"_{"rg"})/("V"_{"m"}-"b'"))-("a"/("T"_{"rg"}*(("V"_{"m"}+"c")^2))))/"p"`

Example

`"0.139208Pa"=((("[R]"*"300K")/("22.4m³/mol"-"2.43E^-3"))-("0.1"/("300K"*(("22.4m³/mol"+"0.0002")^2))))/"800Pa"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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
P'_c = ((([R]*T_rg)/(V_m-b'))-(a/(T_rg*((V_m+c)^2))))/p
This formula uses 1 Constants, 7 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.
Temperature of Real Gas - (Measured in Kelvin) - Temperature of Real Gas is the degree or intensity of heat present in a substance or object.
Molar Volume - (Measured in Cubic Meter per Mole) - Molar Volume is the volume occupied by one mole of a real gas at standard 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.
Clausius Parameter a - Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Clausius Parameter c - Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
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.

STEP 1: Convert Input(s) to Base Unit

Temperature of Real Gas: 300 Kelvin --> 300 Kelvin No Conversion Required
Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required
Clausius Parameter b for Real Gas: 0.00243 --> No Conversion Required
Clausius Parameter a: 0.1 --> No Conversion Required
Clausius Parameter c: 0.0002 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P'_c = ((([R]*T_rg)/(V_m-b'))-(a/(T_rg*((V_m+c)^2))))/p --> ((([R]*300)/(22.4-0.00243))-(0.1/(300*((22.4+0.0002)^2))))/800

Evaluating ... ...

P'_c = 0.139208113344824

STEP 3: Convert Result to Output's Unit

0.139208113344824 Pascal --> No Conversion Required

FINAL ANSWER

0.139208113344824 ≈ 0.139208 Pascal <-- Critical Pressure of Real Gas

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Clausius Model of Real Gas » Critical Pressure » Critical Pressure of Real Gas using Clausius Equation given Actual and Critical Parameters

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Created by Prerana Bakli

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

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< 9 Critical Pressure Calculators

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

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

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 given Clausius Parameter c, Reduced and Actual Parameters

Go Critical Pressure of Real Gas = (3*[R]*(Temperature of Real Gas/Reduced Temperature))/(8*(Clausius Parameter c+(Volume of Real Gas/Reduced Volume)))

Critical Pressure of Real Gas given Clausius Parameter b

Go Critical Pressure of Real Gas = ([R]*Critical Temperature For Clausius Model)/(4*(Critical Volume-Clausius Parameter b for Real Gas))

Critical Pressure of Real Gas given Clausius Parameter c

Go Critical Pressure of Real Gas = (3*[R]*Critical Temperature For Clausius Model)/(8*(Clausius Parameter c+Critical Volume))

Critical Pressure given Clausius parameter a, Reduced and Actual Parameters

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

Critical Pressure of Real Gas given Clausius Parameter a

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

Critical Pressure of Real Gas using Actual and Reduced Pressure

Go Critical Pressure given RP = Pressure/Reduced Pressure

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

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 using Clausius Equation given Actual and Critical Parameters?

Critical Pressure of Real Gas using Clausius Equation given Actual and Critical Parameters calculator uses 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 to calculate the Critical Pressure of Real Gas, The Critical Pressure of real gas using Clausius equation given actual and critical parameters 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 using Clausius Equation given Actual and Critical Parameters using this online calculator? To use this online calculator for Critical Pressure of Real Gas using Clausius Equation given Actual and Critical Parameters, enter Temperature of Real Gas (T_rg), Molar Volume (V_m), Clausius Parameter b for Real Gas (b'), Clausius Parameter a (a), Clausius Parameter c (c) & Pressure (p) and hit the calculate button. Here is how the Critical Pressure of Real Gas using Clausius Equation given Actual and Critical Parameters calculation can be explained with given input values -> 0.039442 = ((([R]*300)/(22.4-0.00243))-(0.1/(300*((22.4+0.0002)^2))))/800.

FAQ

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

The Critical Pressure of real gas using Clausius equation given actual and critical parameters formula is defined as the minimum pressure required to liquify a substance at the critical temperature and is represented as P'_c = ((([R]*T_rg)/(V_m-b'))-(a/(T_rg*((V_m+c)^2))))/p or 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. Temperature of Real Gas is the degree or intensity of heat present in a substance or object, Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure, Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas, Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas, Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas & Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

How to calculate Critical Pressure of Real Gas using Clausius Equation given Actual and Critical Parameters?

The Critical Pressure of real gas using Clausius equation given actual and critical parameters 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]*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. To calculate Critical Pressure of Real Gas using Clausius Equation given Actual and Critical Parameters, you need Temperature of Real Gas (T_rg), Molar Volume (V_m), Clausius Parameter b for Real Gas (b'), Clausius Parameter a (a), Clausius Parameter c (c) & Pressure (p). With our tool, you need to enter the respective value for Temperature of Real Gas, Molar Volume, Clausius Parameter b for Real Gas, Clausius Parameter a, Clausius Parameter c & 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 Critical Pressure of Real Gas?

In this formula, Critical Pressure of Real Gas uses Temperature of Real Gas, Molar Volume, Clausius Parameter b for Real Gas, Clausius Parameter a, Clausius Parameter c & Pressure. We can use 7 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))))/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
Critical Pressure of Real Gas = (27*([R]^2)*(Critical Temperature For Clausius Model^3))/(64*Clausius Parameter a)
Critical Pressure of Real Gas = ([R]*Critical Temperature For Clausius Model)/(4*(Critical Volume-Clausius Parameter b for Real Gas))
Critical Pressure of Real Gas = (3*[R]*Critical Temperature For Clausius Model)/(8*(Clausius Parameter c+Critical Volume))
Critical Pressure of Real Gas = (27*([R]^2)*( (Temperature of Real Gas/Reduced Temperature)^3))/(64*Clausius Parameter a)
Critical Pressure of Real Gas = (3*[R]*(Temperature of Real Gas/Reduced Temperature))/(8*(Clausius Parameter c+(Volume of Real Gas/Reduced Volume)))

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