Actual Temperature of Real Gas using Reduced Redlich Kwong Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature of Gas = Critical Temperature*(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3))
Tg = Tc*(((Pr+(1/(0.26*Vm,r*(Vm,r+0.26))))*((Vm,r-0.26)/3))^(2/3))
This formula uses 4 Variables
Variables Used
Temperature of Gas - (Measured in Kelvin) - Temperature of Gas is the degree or intensity of heat present in a substance or object.
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.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
Reduced Molar Volume - Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.
STEP 1: Convert Input(s) to Base Unit
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Reduced Pressure: 3.675E-05 --> No Conversion Required
Reduced Molar Volume: 11.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tg = Tc*(((Pr+(1/(0.26*Vm,r*(Vm,r+0.26))))*((Vm,r-0.26)/3))^(2/3)) --> 647*(((3.675E-05+(1/(0.26*11.2*(11.2+0.26))))*((11.2-0.26)/3))^(2/3))
Evaluating ... ...
Tg = 148.003685221369
STEP 3: Convert Result to Output's Unit
148.003685221369 Kelvin --> No Conversion Required
FINAL ANSWER
148.003685221369 148.0037 Kelvin <-- Temperature of Gas
(Calculation completed in 00.004 seconds)

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Redlich Kwong Model of Real Gas Calculators

Molar Volume of Real Gas using Redlich Kwong Equation
​ LaTeX ​ Go Molar Volume = ((1/Pressure)+(Redlich–Kwong parameter b/([R]*Temperature)))/((1/([R]*Temperature))-((sqrt(Temperature)*Redlich–Kwong parameter b)/Redlich–Kwong Parameter a))
Pressure of Real Gas using Redlich Kwong Equation
​ LaTeX ​ Go Pressure = (([R]*Temperature)/(Molar Volume-Redlich–Kwong parameter b))-(Redlich–Kwong Parameter a)/(sqrt(Temperature)*Molar Volume*(Molar Volume+Redlich–Kwong parameter b))
Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b'
​ LaTeX ​ Go Critical Pressure = (((2^(1/3))-1)^(7/3)*([R]^(1/3))*(Redlich–Kwong Parameter a^(2/3)))/((3^(1/3))*(Redlich–Kwong parameter b^(5/3)))
Critical Molar Volume of Real Gas using Redlich Kwong Equation given 'a' and 'b'
​ LaTeX ​ Go Critical Molar Volume = Redlich–Kwong parameter b/((2^(1/3))-1)

Important Formulae on Different Models of Real Gas Calculators

Temperature of Real Gas using Peng Robinson Equation
​ LaTeX ​ Go Temperature given CE = (Pressure+(((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2)))))*((Molar Volume-Peng–Robinson Parameter b)/[R])
Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters
​ LaTeX ​ Go Critical Pressure given PRP = 0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b
Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters
​ LaTeX ​ Go Temperature given PRP = Reduced Temperature*((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical Parameters
​ LaTeX ​ Go Pressure given PRP = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a)

Actual Temperature of Real Gas using Reduced Redlich Kwong Equation Formula

​LaTeX ​Go
Temperature of Gas = Critical Temperature*(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3))
Tg = Tc*(((Pr+(1/(0.26*Vm,r*(Vm,r+0.26))))*((Vm,r-0.26)/3))^(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 Actual Temperature of Real Gas using Reduced Redlich Kwong Equation?

Actual Temperature of Real Gas using Reduced Redlich Kwong Equation calculator uses Temperature of Gas = Critical Temperature*(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3)) to calculate the Temperature of Gas, The Actual Temperature of Real Gas using Reduced Redlich Kwong Equation formula is defined as the degree or intensity of heat present in the volume of real gas. Temperature of Gas is denoted by Tg symbol.

How to calculate Actual Temperature of Real Gas using Reduced Redlich Kwong Equation using this online calculator? To use this online calculator for Actual Temperature of Real Gas using Reduced Redlich Kwong Equation, enter Critical Temperature (Tc), Reduced Pressure (Pr) & Reduced Molar Volume (Vm,r) and hit the calculate button. Here is how the Actual Temperature of Real Gas using Reduced Redlich Kwong Equation calculation can be explained with given input values -> 148.0037 = 647*(((3.675E-05+(1/(0.26*11.2*(11.2+0.26))))*((11.2-0.26)/3))^(2/3)).

FAQ

What is Actual Temperature of Real Gas using Reduced Redlich Kwong Equation?
The Actual Temperature of Real Gas using Reduced Redlich Kwong Equation formula is defined as the degree or intensity of heat present in the volume of real gas and is represented as Tg = Tc*(((Pr+(1/(0.26*Vm,r*(Vm,r+0.26))))*((Vm,r-0.26)/3))^(2/3)) or Temperature of Gas = Critical Temperature*(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3)). 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, Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless & Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.
How to calculate Actual Temperature of Real Gas using Reduced Redlich Kwong Equation?
The Actual Temperature of Real Gas using Reduced Redlich Kwong Equation formula is defined as the degree or intensity of heat present in the volume of real gas is calculated using Temperature of Gas = Critical Temperature*(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3)). To calculate Actual Temperature of Real Gas using Reduced Redlich Kwong Equation, you need Critical Temperature (Tc), Reduced Pressure (Pr) & Reduced Molar Volume (Vm,r). With our tool, you need to enter the respective value for Critical Temperature, Reduced Pressure & Reduced 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 Temperature of Gas?
In this formula, Temperature of Gas uses Critical Temperature, Reduced Pressure & Reduced Molar Volume. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Temperature of Gas = Temperature/(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2))))
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