Actual Temperature using Redlich Kwong Equation given 'a' and 'b' Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature = Reduced Temperature*((3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3)))
T = Tr*((3^(2/3))*(((2^(1/3))-1)^(4/3))*((a/(b*[R]))^(2/3)))
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
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
Reduced Temperature: 10 --> No Conversion Required
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 = Tr*((3^(2/3))*(((2^(1/3))-1)^(4/3))*((a/(b*[R]))^(2/3))) --> 10*((3^(2/3))*(((2^(1/3))-1)^(4/3))*((0.15/(0.1*[R]))^(2/3)))
Evaluating ... ...
T = 1.10164285631005
STEP 3: Convert Result to Output's Unit
1.10164285631005 Kelvin --> No Conversion Required
FINAL ANSWER
1.10164285631005 1.101643 Kelvin <-- Temperature
(Calculation completed in 00.004 seconds)

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23 Redlich Kwong Model of Real Gas Calculators

Molar Volume of Real Gas using Redlich Kwong Equation
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
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 Reduced Redlich Kwong Equation
Go Critical Pressure = Pressure/(((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature of Gas)*Reduced Molar Volume*(Reduced Molar Volume+0.26))))
Actual Pressure of Real Gas using Reduced Redlich Kwong Equation
Go Pressure = Critical Pressure*(((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature)*Reduced Molar Volume*(Reduced Molar Volume+0.26))))
Reduced Pressure of Real Gas using Reduced Redlich Kwong Equation
Go Reduced Pressure = ((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature of Real Gas)*Reduced Molar Volume*(Reduced Molar Volume+0.26)))
Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation
Go Critical Molar Volume = Molar Volume/(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature))))
Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation
Go Molar Volume = Critical Molar Volume*(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature))))
Actual Temperature of Real Gas using Reduced Redlich Kwong Equation
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))
Reduced Molar Volume of Real Gas using Reduced Redlich Kwong Equation
Go Reduced Molar Volume = ((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature)))
Actual Temperature using Redlich Kwong Equation given 'a' and 'b'
Go Temperature = Reduced Temperature*((3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3)))
Reduced Pressure using Redlich Kwong Equation given 'a' and 'b'
Go Reduced Pressure = Pressure of Gas/((((2^(1/3))-1)^(7/3)*([R]^(1/3))*(Redlich–Kwong Parameter a^(2/3)))/((3^(1/3))*(Redlich–Kwong parameter b^(5/3))))
Actual Pressure using Redlich Kwong Equation given 'a' and 'b'
Go 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))))*Reduced Pressure
Actual Temperature of Real Gas using Redlich Kwong Equation given 'b'
Go Real Gas Temperature = Reduced Temperature*((Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R]))
Reduced Pressure of Real Gas using Redlich Kwong Equation given 'b'
Go Reduced Pressure = Pressure/((0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b)
Actual Pressure of Real Gas using Redlich Kwong Equation given 'b'
Go Pressure = Reduced Pressure*((0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b)
Actual Temperature of Real Gas using Redlich Kwong Equation given 'a'
Go Temperature = Reduced Temperature*(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5))
Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b'
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)))
Reduced Pressure of Real Gas using Redlich Kwong Equation given 'a'
Go Reduced Pressure = Pressure/((0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong Parameter a)
Critical Pressure of Real Gas using Redlich Kwong Equation given 'b'
Go Critical Pressure = (0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b
Critical Pressure of Real Gas using Redlich Kwong Equation given 'a'
Go Critical Pressure = (0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong Parameter a
Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b'
Go Reduced Molar Volume = Molar Volume/(Redlich–Kwong parameter b/((2^(1/3))-1))
Actual Molar Volume using Redlich Kwong Equation given 'a' and 'b'
Go Molar Volume = Reduced Molar Volume*(Redlich–Kwong parameter b/((2^(1/3))-1))
Critical Molar Volume of Real Gas using Redlich Kwong Equation given 'a' and 'b'
Go Critical Molar Volume = Redlich–Kwong parameter b/((2^(1/3))-1)

Actual Temperature using Redlich Kwong Equation given 'a' and 'b' Formula

Temperature = Reduced Temperature*((3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3)))
T = Tr*((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 Actual Temperature using Redlich Kwong Equation given 'a' and 'b'?

Actual Temperature using Redlich Kwong Equation given 'a' and 'b' calculator uses Temperature = Reduced Temperature*((3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3))) to calculate the Temperature, The Actual Temperature using Redlich Kwong Equation given 'a' and 'b' formula is defined as the degree or intensity of heat present in the volume of real gas. Temperature is denoted by T symbol.

How to calculate Actual Temperature using Redlich Kwong Equation given 'a' and 'b' using this online calculator? To use this online calculator for Actual Temperature using Redlich Kwong Equation given 'a' and 'b', enter Reduced Temperature (Tr), Redlich–Kwong Parameter a (a) & Redlich–Kwong parameter b (b) and hit the calculate button. Here is how the Actual Temperature using Redlich Kwong Equation given 'a' and 'b' calculation can be explained with given input values -> 1.101643 = 10*((3^(2/3))*(((2^(1/3))-1)^(4/3))*((0.15/(0.1*[R]))^(2/3))).

FAQ

What is Actual Temperature using Redlich Kwong Equation given 'a' and 'b'?
The Actual Temperature using Redlich Kwong Equation given 'a' and 'b' formula is defined as the degree or intensity of heat present in the volume of real gas and is represented as T = Tr*((3^(2/3))*(((2^(1/3))-1)^(4/3))*((a/(b*[R]))^(2/3))) or Temperature = Reduced Temperature*((3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3))). Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, 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 Actual Temperature using Redlich Kwong Equation given 'a' and 'b'?
The Actual Temperature using Redlich Kwong Equation given 'a' and 'b' formula is defined as the degree or intensity of heat present in the volume of real gas is calculated using Temperature = Reduced Temperature*((3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3))). To calculate Actual Temperature using Redlich Kwong Equation given 'a' and 'b', you need Reduced Temperature (Tr), Redlich–Kwong Parameter a (a) & Redlich–Kwong parameter b (b). With our tool, you need to enter the respective value for Reduced Temperature, 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 Temperature?
In this formula, Temperature uses Reduced Temperature, Redlich–Kwong Parameter a & Redlich–Kwong parameter b. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Temperature = Reduced Temperature*(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5))
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