Clausius Parameter b given Critical Parameters Calculator

✖The Critical Volume is the volume occupied by the unit mass of gas at critical temperature and pressure.ⓘ Critical Volume [V_c]			+10% -10%
✖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 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 b is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter b given Critical Parameters [b]

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Formula

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Clausius Parameter b given Critical Parameters

Formula

`"b" = "V"_{"c"}-(("[R]"*"T"_{"c"})/(4*"P'"_{"c"}))`

Example

`"0.009708"="10L"-(("[R]"*"647K")/(4*"4.6E^6Pa"))`

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Clausius Parameter b given Critical Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Clausius Parameter b = Critical Volume-(([R]*Critical Temperature)/(4*Critical Pressure of Real Gas))
b = V_c-(([R]*T_c)/(4*P'_c))
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Clausius Parameter b - Clausius parameter b is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Critical Volume - (Measured in Cubic Meter) - The Critical Volume is the volume occupied by the unit mass of gas at critical temperature and pressure.
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 of Real Gas - (Measured in Pascal) - Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature.

STEP 1: Convert Input(s) to Base Unit

Critical Volume: 10 Liter --> 0.01 Cubic Meter (Check conversion here)
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Critical Pressure of Real Gas: 4600000 Pascal --> 4600000 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = V_c-(([R]*T_c)/(4*P'_c)) --> 0.01-(([R]*647)/(4*4600000))

Evaluating ... ...

b = 0.0097076381894595

STEP 3: Convert Result to Output's Unit

0.0097076381894595 --> No Conversion Required

FINAL ANSWER

0.0097076381894595 ≈ 0.009708 <-- Clausius Parameter b

(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)

Clausius Parameter b given Critical Parameters Formula

Clausius Parameter b = Critical Volume-(([R]*Critical Temperature)/(4*Critical Pressure of Real Gas))
b = V_c-(([R]*T_c)/(4*P'_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 b given Critical Parameters?

Clausius Parameter b given Critical Parameters calculator uses Clausius Parameter b = Critical Volume-(([R]*Critical Temperature)/(4*Critical Pressure of Real Gas)) to calculate the Clausius Parameter b, The Clausius parameter b given critical parameters formula is defined as an empirical parameter characteristic to equation obtained from Clausius model of real gas. Clausius Parameter b is denoted by b symbol.

How to calculate Clausius Parameter b given Critical Parameters using this online calculator? To use this online calculator for Clausius Parameter b given Critical Parameters, enter Critical Volume (V_c), Critical Temperature (T_c) & Critical Pressure of Real Gas (P'_c) and hit the calculate button. Here is how the Clausius Parameter b given Critical Parameters calculation can be explained with given input values -> 0.009708 = 0.01-(([R]*647)/(4*4600000)).

FAQ

What is Clausius Parameter b given Critical Parameters?

The Clausius parameter b given critical parameters formula is defined as an empirical parameter characteristic to equation obtained from Clausius model of real gas and is represented as b = V_c-(([R]*T_c)/(4*P'_c)) or Clausius Parameter b = Critical Volume-(([R]*Critical Temperature)/(4*Critical Pressure of Real Gas)). The Critical Volume is the volume occupied by the unit mass of gas at critical temperature and pressure, 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 of Real Gas is the minimum pressure required to liquify a substance at the critical temperature.

How to calculate Clausius Parameter b given Critical Parameters?

The Clausius parameter b 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 b = Critical Volume-(([R]*Critical Temperature)/(4*Critical Pressure of Real Gas)). To calculate Clausius Parameter b given Critical Parameters, you need Critical Volume (V_c), Critical Temperature (T_c) & Critical Pressure of Real Gas (P'_c). With our tool, you need to enter the respective value for Critical Volume, Critical Temperature & Critical Pressure of 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 Clausius Parameter b?

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

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 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)))))

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