Clausius Parameter c given Critical Parameters Calculator

✖Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.ⓘ Critical Temperature [T_c]			+10% -10%
✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure [P_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 c given CP is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter c given Critical Parameters [c_CP]

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Formula

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Clausius Parameter c given Critical Parameters

Formula

`"c"_{"CP"} = ((3*"[R]"*"T"_{"c"})/(8*"P"_{"c"}))-"V"_{"c"}`

Example

`"9.243654"=((3*"[R]"*"647K")/(8*"218Pa"))-"10L"`

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Clausius Parameter c given Critical Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Clausius Parameter c given CP = ((3*[R]*Critical Temperature)/(8*Critical Pressure))-Critical Volume
c_CP = ((3*[R]*T_c)/(8*P_c))-V_c
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required
Critical Volume: 10 Liter --> 0.01 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_CP = ((3*[R]*T_c)/(8*P_c))-V_c --> ((3*[R]*647)/(8*218))-0.01

Evaluating ... ...

c_CP = 9.24365363637353

STEP 3: Convert Result to Output's Unit

9.24365363637353 --> No Conversion Required

FINAL ANSWER

9.24365363637353 ≈ 9.243654 <-- Clausius Parameter c given CP

(Calculation completed in 00.004 seconds)

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< 10+ Clausius Parameter Calculators

Clausius Parametera given Reduced and Critical Parameters using Clausius Equation

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

Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation

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

Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas

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

Clausius Parameter given Pressure, Temperature and Molar Volume of Real Gas

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

Clausius Parameter b given Reduced and Actual Parameters

Go Clausius Parameter b given RP = (Volume of Real Gas/Reduced Volume)-(([R]*(Temperature of Real Gas/Reduced Temperature))/(4*(Pressure/Reduced Pressure)))

Clausius Parameter c given Reduced and Actual Parameters

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

Clausius Parameter given Reduced and Actual Parameters

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

Clausius Parameter b given Critical Parameters

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

Clausius Parameter c given Critical Parameters

Go Clausius Parameter c given CP = ((3*[R]*Critical Temperature)/(8*Critical Pressure))-Critical Volume

Clausius Parameter given Critical Parameters

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

< 19 Important Formulae on Clausius Model of Real Gas Calculators

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

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

Reduced Temperature of Real Gas using Clausius Equation given Reduced and Actual Parameters

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

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

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

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

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

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

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

Go Reduced Volume given RP AP = Volume of Real Gas/(((3*[R]*(Real Gas Temperature/Reduced Temperature))/(8*(Real Gas Pressure/Reduced Pressure)))-Clausius Parameter c)

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

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

Clausius Parameter b given Reduced and Actual Parameters

Go Clausius Parameter b given RP = (Volume of Real Gas/Reduced Volume)-(([R]*(Temperature of Real Gas/Reduced Temperature))/(4*(Pressure/Reduced Pressure)))

Temperature of Real Gas using Clausius Equation

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

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

Actual Volume of Real Gas using Clausius Parameter b, Reduced and Critical Parameters

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

Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters

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

Actual Volume of Real Gas using Clausius Parameter c, Reduced and Critical Parameters

Go Volume of Real Gas given CP = (((3*[R]*Critical Temperature)/(8*Critical Pressure of Real Gas))-Clausius Parameter c)*Reduced Molar Volume for Real Gas

Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters

Go Temperature given RP = (((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3))*Reduced Temperature

Clausius Parameter c given Critical Parameters

Go Clausius Parameter c given CP = ((3*[R]*Critical Temperature)/(8*Critical Pressure))-Critical Volume

Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters

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

Actual Temperature of Real Gas using Critical and Reduced Temperature

Go Temperature given RT = Reduced Temperature*Critical Temperature For Clausius Model

Reduced Pressure of Real Gas using Actual and Critical Pressure

Go Reduced Pressure given RP AP = Pressure of Gas/Critical Pressure of Real Gas

Critical Pressure of Real Gas using Actual and Reduced Pressure

Go Critical Pressure given RP = Pressure/Reduced Pressure

Clausius Parameter c given Critical Parameters Formula

Clausius Parameter c given CP = ((3*[R]*Critical Temperature)/(8*Critical Pressure))-Critical Volume
c_CP = ((3*[R]*T_c)/(8*P_c))-V_c

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 Clausius Parameter c given Critical Parameters?

Clausius Parameter c given Critical Parameters calculator uses Clausius Parameter c given CP = ((3*[R]*Critical Temperature)/(8*Critical Pressure))-Critical Volume to calculate the Clausius Parameter c given CP, The Clausius parameter c given critical parameters formula is defined as an empirical parameter characteristic to equation obtained from Clausius model of real gas. Clausius Parameter c given CP is denoted by c_CP symbol.

How to calculate Clausius Parameter c given Critical Parameters using this online calculator? To use this online calculator for Clausius Parameter c given Critical Parameters, enter Critical Temperature (T_c), Critical Pressure (P_c) & Critical Volume (V_c) and hit the calculate button. Here is how the Clausius Parameter c given Critical Parameters calculation can be explained with given input values -> 9.247654 = ((3*[R]*647)/(8*218))-0.01.

FAQ

What is Clausius Parameter c given Critical Parameters?

The Clausius parameter c given critical parameters formula is defined as an empirical parameter characteristic to equation obtained from Clausius model of real gas and is represented as c_CP = ((3*[R]*T_c)/(8*P_c))-V_c or Clausius Parameter c given CP = ((3*[R]*Critical Temperature)/(8*Critical Pressure))-Critical Volume. Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor, Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature & The Critical Volume is the volume occupied by the unit mass of gas at critical temperature and pressure.

How to calculate Clausius Parameter c given Critical Parameters?

The Clausius parameter c given critical parameters formula is defined as an empirical parameter characteristic to equation obtained from Clausius model of real gas is calculated using Clausius Parameter c given CP = ((3*[R]*Critical Temperature)/(8*Critical Pressure))-Critical Volume. To calculate Clausius Parameter c given Critical Parameters, you need Critical Temperature (T_c), Critical Pressure (P_c) & Critical Volume (V_c). With our tool, you need to enter the respective value for Critical Temperature, Critical Pressure & Critical Volume 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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