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

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

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Formula

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

Formula

`"V"_{"m"} = (("[R]"*("T"_{"r"}*"T'"_{"c"}))/(("P"_{"r"}*"P'"_{"c"})+("a"/("T"_{"r"}*"T'"_{"c"}))))+"b'"`

Example

`"0.005918m³/mol"=(("[R]"*("10"*"154.4K"))/(("0.8"*"4.6E^6Pa")+("0.1"/("10"*"154.4K"))))+"2.43E^-3"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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
V_m = (([R]*(T_r*T'_c))/((P_r*P'_c)+(a/(T_r*T'_c))))+b'
This formula uses 1 Constants, 7 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

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.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
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.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Reduced Temperature: 10 --> No Conversion Required
Critical Temperature For Clausius Model: 154.4 Kelvin --> 154.4 Kelvin No Conversion Required
Reduced Pressure: 0.8 --> No Conversion Required
Critical Pressure of Real Gas: 4600000 Pascal --> 4600000 Pascal No Conversion Required
Clausius Parameter a: 0.1 --> No Conversion Required
Clausius Parameter b for Real Gas: 0.00243 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = (([R]*(T_r*T'_c))/((P_r*P'_c)+(a/(T_r*T'_c))))+b' --> (([R]*(10*154.4))/((0.8*4600000)+(0.1/(10*154.4))))+0.00243

Evaluating ... ...

V_m = 0.00591845931581594

STEP 3: Convert Result to Output's Unit

0.00591845931581594 Cubic Meter per Mole --> No Conversion Required

FINAL ANSWER

0.00591845931581594 ≈ 0.005918 Cubic Meter per Mole <-- Molar Volume

(Calculation completed in 00.004 seconds)

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< 2 Molar Volume Calculators

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

Go 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

Molar Volume of Real Gas using Clausius Equation

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

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

Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters calculator uses 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 to calculate the Molar Volume, The Molar Volume of real gas using Clausius equation given reduced and critical parameters formula is defined as the volume of one mole of a gas at STP. Molar Volume is denoted by V_m symbol.

How to calculate Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters using this online calculator? To use this online calculator for Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters, enter Reduced Temperature (T_r), Critical Temperature For Clausius Model (T'_c), Reduced Pressure (P_r), Critical Pressure of Real Gas (P'_c), Clausius Parameter a (a) & Clausius Parameter b for Real Gas (b') and hit the calculate button. Here is how the Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters calculation can be explained with given input values -> 0.017048 = (([R]*(10*154.4))/((0.8*4600000)+(0.1/(10*154.4))))+0.00243.

FAQ

What is Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters?

The Molar Volume of real gas using Clausius equation given reduced and critical parameters formula is defined as the volume of one mole of a gas at STP and is represented as V_m = (([R]*(T_r*T'_c))/((P_r*P'_c)+(a/(T_r*T'_c))))+b' or 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 Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, 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, Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless, Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature, 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.

How to calculate Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters?

The Molar Volume of real gas using Clausius equation given reduced and critical parameters formula is defined as the volume of one mole of a gas at STP is calculated using 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. To calculate Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters, you need Reduced Temperature (T_r), Critical Temperature For Clausius Model (T'_c), Reduced Pressure (P_r), Critical Pressure of Real Gas (P'_c), Clausius Parameter a (a) & Clausius Parameter b for Real Gas (b'). With our tool, you need to enter the respective value for Reduced Temperature, Critical Temperature For Clausius Model, Reduced Pressure, Critical Pressure of Real Gas, Clausius Parameter a & 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.

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