Critical Molar Volume 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%
✖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%
✖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 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%
✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume [V_m]			+10% -10%

✖Critical Molar Volume given RP is the volume occupied by gas at critical temperature and pressure per mole.ⓘ Critical Molar Volume using Clausius Equation given Actual and Critical Parameters [V_RP]

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Critical Molar Volume using Clausius Equation given Actual and Critical Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Molar Volume given RP = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Molar Volume
V_RP = ((([R]*T_rg)/(p+(a/T_rg)))+b')/V_m
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Critical Molar Volume given RP - (Measured in Cubic Meter per Mole) - Critical Molar Volume given RP is the volume occupied by gas at critical temperature and pressure per mole.
Temperature of Real Gas - (Measured in Kelvin) - Temperature of Real Gas is the degree or intensity of heat present in a substance or object.
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.
Clausius Parameter a - Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_RP = ((([R]*T_rg)/(p+(a/T_rg)))+b')/V_m --> ((([R]*300)/(800+(0.1/300)))+0.00243)/22.4

Evaluating ... ...

V_RP = 0.139301436726483

STEP 3: Convert Result to Output's Unit

0.139301436726483 Cubic Meter per Mole --> No Conversion Required

FINAL ANSWER

0.139301436726483 ≈ 0.139301 Cubic Meter per Mole <-- Critical Molar Volume given RP

(Calculation completed in 00.008 seconds)

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< Critical Molar Volume Calculators

Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters

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

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

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

Critical Molar Volume using Clausius Equation given Actual and Critical Parameters

LaTeX Go Critical Molar Volume given RP = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Molar Volume

< 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

Critical Molar Volume using Clausius Equation given Actual and Critical Parameters Formula

LaTeX Go

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 Molar Volume using Clausius Equation given Actual and Critical Parameters?

Critical Molar Volume using Clausius Equation given Actual and Critical Parameters calculator uses Critical Molar Volume given RP = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Molar Volume to calculate the Critical Molar Volume given RP, The Critical Molar Volume using Clausius equation given actual and critical parameters formula is defined as the volume occupied by gas at critical temperature and pressure per mole. Critical Molar Volume given RP is denoted by V_RP symbol.

How to calculate Critical Molar Volume using Clausius Equation given Actual and Critical Parameters using this online calculator? To use this online calculator for Critical Molar Volume using Clausius Equation given Actual and Critical Parameters, enter Temperature of Real Gas (T_rg), Pressure (p), Clausius Parameter a (a), Clausius Parameter b for Real Gas (b') & Molar Volume (V_m) and hit the calculate button. Here is how the Critical Molar Volume using Clausius Equation given Actual and Critical Parameters calculation can be explained with given input values -> 0.039546 = ((([R]*300)/(800+(0.1/300)))+0.00243)/22.4.

FAQ

What is Critical Molar Volume using Clausius Equation given Actual and Critical Parameters?

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

How to calculate Critical Molar Volume using Clausius Equation given Actual and Critical Parameters?

The Critical Molar Volume using Clausius equation given actual and critical parameters formula is defined as the volume occupied by gas at critical temperature and pressure per mole is calculated using Critical Molar Volume given RP = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Molar Volume. To calculate Critical Molar Volume using Clausius Equation given Actual and Critical Parameters, you need Temperature of Real Gas (T_rg), Pressure (p), Clausius Parameter a (a), Clausius Parameter b for Real Gas (b') & Molar Volume (V_m). With our tool, you need to enter the respective value for Temperature of Real Gas, Pressure, Clausius Parameter a, Clausius Parameter b for Real Gas & Molar Volume 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 Molar Volume given RP?

In this formula, Critical Molar Volume given RP uses Temperature of Real Gas, Pressure, Clausius Parameter a, Clausius Parameter b for Real Gas & Molar Volume. We can use 2 other way(s) to calculate the same, which is/are as follows -

Critical Molar Volume given RP = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Reduced Molar Volume for Real Gas
Critical Molar Volume given RP = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Reduced Molar Volume for Real Gas

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