Temperature of Real Gas using Peng Robinson Equation Calculator

✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [p]			+10% -10%
✖Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.ⓘ Peng–Robinson Parameter a [a_PR]			+10% -10%
✖α-function is a function of temperature and the acentric factor.ⓘ α-function [α]			+10% -10%
✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume [V_m]			+10% -10%
✖Peng–Robinson parameter b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.ⓘ Peng–Robinson Parameter b [b_PR]			+10% -10%

✖Temperature given CE is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Real Gas using Peng Robinson Equation [T_CE]

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Temperature of Real Gas using Peng Robinson Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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])
T_CE = (p+(((a_PR*α)/((V_m^2)+(2*b_PR*V_m)-(b_PR^2)))))*((V_m-b_PR)/[R])
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Temperature given CE - (Measured in Kelvin) - Temperature given CE is the degree or intensity of heat present in a substance or object.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Peng–Robinson Parameter a - Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.
α-function - α-function is a function of temperature and the acentric factor.
Molar Volume - (Measured in Cubic Meter per Mole) - Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.
Peng–Robinson Parameter b - Peng–Robinson parameter b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.

STEP 1: Convert Input(s) to Base Unit

Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Peng–Robinson Parameter a: 0.1 --> No Conversion Required
α-function: 2 --> No Conversion Required
Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required
Peng–Robinson Parameter b: 0.12 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_CE = (p+(((a_PR*α)/((V_m^2)+(2*b_PR*V_m)-(b_PR^2)))))*((V_m-b_PR)/[R]) --> (800+(((0.1*2)/((22.4^2)+(2*0.12*22.4)-(0.12^2)))))*((22.4-0.12)/[R])

Evaluating ... ...

T_CE = 2143.73551309635

STEP 3: Convert Result to Output's Unit

2143.73551309635 Kelvin --> No Conversion Required

FINAL ANSWER

2143.73551309635 ≈ 2143.736 Kelvin <-- Temperature given CE

(Calculation completed in 00.004 seconds)

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< Peng Robinson Model of Real Gas Calculators

Pressure of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters

LaTeX Go Pressure = (([R]*(Reduced Temperature*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Peng–Robinson Parameter b))-((Peng–Robinson Parameter a*α-function)/(((Reduced Molar Volume*Critical Molar Volume)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume*Critical Molar Volume))-(Peng–Robinson Parameter b^2)))

Temperature of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters

LaTeX Go Temperature = ((Reduced Pressure*Critical Pressure)+(((Peng–Robinson Parameter a*α-function)/(((Reduced Molar Volume*Critical Molar Volume)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume*Critical Molar Volume))-(Peng–Robinson Parameter b^2)))))*(((Reduced Molar Volume*Critical Molar Volume)-Peng–Robinson Parameter b)/[R])

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])

Pressure of Real Gas using Peng Robinson Equation

LaTeX Go Pressure = (([R]*Temperature)/(Molar Volume-Peng–Robinson Parameter b))-((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2)))

< Important Formulae on Different Models of Real Gas Calculators

Temperature of Real Gas using Peng Robinson Equation

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)

Temperature of Real Gas using Peng Robinson Equation Formula

LaTeX Go

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 Temperature of Real Gas using Peng Robinson Equation?

Temperature of Real Gas using Peng Robinson Equation calculator uses 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]) to calculate the Temperature given CE, The Temperature of Real Gas using Peng Robinson Equation formula is defined as the degree or intensity of heat present in the volume of real gas. Temperature given CE is denoted by T_CE symbol.

How to calculate Temperature of Real Gas using Peng Robinson Equation using this online calculator? To use this online calculator for Temperature of Real Gas using Peng Robinson Equation, enter Pressure (p), Peng–Robinson Parameter a (a_PR), α-function (α), Molar Volume (V_m) & Peng–Robinson Parameter b (b_PR) and hit the calculate button. Here is how the Temperature of Real Gas using Peng Robinson Equation calculation can be explained with given input values -> 2136.038 = (800+(((0.1*2)/((22.4^2)+(2*0.12*22.4)-(0.12^2)))))*((22.4-0.12)/[R]).

FAQ

What is Temperature of Real Gas using Peng Robinson Equation?

The Temperature of Real Gas using Peng Robinson Equation formula is defined as the degree or intensity of heat present in the volume of real gas and is represented as T_CE = (p+(((a_PR*α)/((V_m^2)+(2*b_PR*V_m)-(b_PR^2)))))*((V_m-b_PR)/[R]) or 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]). Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas, α-function is a function of temperature and the acentric factor, Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure & Peng–Robinson parameter b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.

How to calculate Temperature of Real Gas using Peng Robinson Equation?

The Temperature of Real Gas using Peng Robinson Equation formula is defined as the degree or intensity of heat present in the volume of real gas is calculated using 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]). To calculate Temperature of Real Gas using Peng Robinson Equation, you need Pressure (p), Peng–Robinson Parameter a (a_PR), α-function (α), Molar Volume (V_m) & Peng–Robinson Parameter b (b_PR). With our tool, you need to enter the respective value for Pressure, Peng–Robinson Parameter a, α-function, Molar Volume & Peng–Robinson Parameter b 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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