Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b' Calculator

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Redlich Kwong Model of Real Gas

Berthelot and Modified Berthelot Model of Real Gas

Clausius Model of Real Gas

Peng Robinson Model of Real Gas

Saturation Vapour Pressure

Specific Heat Capacity

Van der Waals Force

Wohl Model of Real Gas

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Critical Temperature of Real Gas

Reduced Temperature of Real Gas

Redlich Kwong Parameter

✖Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.ⓘ Redlich–Kwong Parameter a [a]			+10% -10%
✖Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.ⓘ Redlich–Kwong parameter b [b]			+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 of Real Gas using Redlich Kwong Equation given 'a' and 'b' [T_c]

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Formula

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Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b'

Formula

`"T"_{"c"} = (3^(2/3))*(((2^(1/3))-1)^(4/3))*(("a"/("b"*"[R]"))^(2/3))`

Example

`"0.110164K"=(3^(2/3))*(((2^(1/3))-1)^(4/3))*(("0.15"/("0.1"*"[R]"))^(2/3))`

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Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b' Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Temperature = (3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3))
T_c = (3^(2/3))*(((2^(1/3))-1)^(4/3))*((a/(b*[R]))^(2/3))
This formula uses 1 Constants, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

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.
Redlich–Kwong Parameter a - Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.
Redlich–Kwong parameter b - Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.

STEP 1: Convert Input(s) to Base Unit

Redlich–Kwong Parameter a: 0.15 --> No Conversion Required
Redlich–Kwong parameter b: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_c = (3^(2/3))*(((2^(1/3))-1)^(4/3))*((a/(b*[R]))^(2/3)) --> (3^(2/3))*(((2^(1/3))-1)^(4/3))*((0.15/(0.1*[R]))^(2/3))

Evaluating ... ...

T_c = 0.110164285631005

STEP 3: Convert Result to Output's Unit

0.110164285631005 Kelvin --> No Conversion Required

FINAL ANSWER

0.110164285631005 ≈ 0.110164 Kelvin <-- Critical Temperature

(Calculation completed in 00.020 seconds)

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< 4 Critical Temperature of Real Gas Calculators

Critical Temperature of Real Gas using Reduced Redlich Kwong Equation

Go Critical Temperature given RKE = Temperature of Gas/(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3))

Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b'

Go Critical Temperature = (3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3))

Critical Temperature of Real Gas using Redlich Kwong Equation given 'b'

Go Critical Temperature given RKE and b = (Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R])

Critical Temperature of Real Gas using Redlich Kwong Equation given 'a'

Go Critical Temperature = ((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5)

Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b' Formula

Critical Temperature = (3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3))
T_c = (3^(2/3))*(((2^(1/3))-1)^(4/3))*((a/(b*[R]))^(2/3))

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 Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b'?

Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b' calculator uses Critical Temperature = (3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3)) to calculate the Critical Temperature, The Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b' is the highest temperature at which the substance can exist as a liquid. That is the temperature at which the phase boundaries vanish, and the substance can exist both as a liquid and vapor. Critical Temperature is denoted by T_c symbol.

How to calculate Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b' using this online calculator? To use this online calculator for Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b', enter Redlich–Kwong Parameter a (a) & Redlich–Kwong parameter b (b) and hit the calculate button. Here is how the Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b' calculation can be explained with given input values -> 0.110164 = (3^(2/3))*(((2^(1/3))-1)^(4/3))*((0.15/(0.1*[R]))^(2/3)).

FAQ

What is Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b'?

The Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b' is the highest temperature at which the substance can exist as a liquid. That is the temperature at which the phase boundaries vanish, and the substance can exist both as a liquid and vapor and is represented as T_c = (3^(2/3))*(((2^(1/3))-1)^(4/3))*((a/(b*[R]))^(2/3)) or Critical Temperature = (3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3)). Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas & Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.

How to calculate Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b'?

The Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b' is the highest temperature at which the substance can exist as a liquid. That is the temperature at which the phase boundaries vanish, and the substance can exist both as a liquid and vapor is calculated using Critical Temperature = (3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3)). To calculate Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' and 'b', you need Redlich–Kwong Parameter a (a) & Redlich–Kwong parameter b (b). With our tool, you need to enter the respective value for Redlich–Kwong Parameter a & Redlich–Kwong parameter b 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 Temperature?

In this formula, Critical Temperature uses Redlich–Kwong Parameter a & Redlich–Kwong parameter b. We can use 1 other way(s) to calculate the same, which is/are as follows -

Critical Temperature = ((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5)

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