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Reduced Temperature using Peng Robinson Equation given Critical and Actual Parameters Formula

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Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless. Check FAQs

T r = \frac{(p + ((\frac{a PR \cdot α}{({V m}^{2}) + (2 \cdot b PR \cdot V m) - ({b PR}^{2})}))) \cdot (\frac{V m - b PR}{[R]})}{T c}

T_r - Reduced Temperature?p - Pressure?a_PR - Peng–Robinson Parameter a?α - α-function?V_m - Molar Volume?b_PR - Peng–Robinson Parameter b?T_c - Critical Temperature?[R] - Universal gas constant?

Reduced Temperature using Peng Robinson Equation given Critical and Actual Parameters Example

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Here is how the Reduced Temperature using Peng Robinson Equation given Critical and Actual Parameters equation looks like with Values.

Here is how the Reduced Temperature using Peng Robinson Equation given Critical and Actual Parameters equation looks like with Units.

Here is how the Reduced Temperature using Peng Robinson Equation given Critical and Actual Parameters equation looks like.

3.3133 = \frac{(800 + ((\frac{0.1 \cdot 2}{({22.4}^{2}) + (2 \cdot 0.12 \cdot 22.4) - ({0.12}^{2})}))) \cdot (\frac{22.4 - 0.12}{8.3145})}{647}

3.3133 = \frac{(800Pa + ((\frac{0.1 \cdot 2}{({22.4m³/mol}^{2}) + (2 \cdot 0.12 \cdot 22.4m³/mol) - ({0.12}^{2})}))) \cdot (\frac{22.4m³/mol - 0.12}{8.3145})}{647K}

3.3133 = \frac{(800 + ((\frac{0.1 \cdot 2}{({22.4}^{2}) + (2 \cdot 0.12 \cdot 22.4) - ({0.12}^{2})}))) \cdot (\frac{22.4 - 0.12}{8.3145})}{647}

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Reduced Temperature using Peng Robinson Equation given Critical and Actual Parameters Solution

Follow our step by step solution on how to calculate Reduced Temperature using Peng Robinson Equation given Critical and Actual Parameters?

FIRST Step Consider the formula

T r = \frac{(p + ((\frac{a PR \cdot α}{({V m}^{2}) + (2 \cdot b PR \cdot V m) - ({b PR}^{2})}))) \cdot (\frac{V m - b PR}{[R]})}{T c}

Next Step Substitute values of Variables

∴

T r = \frac{(800Pa + ((\frac{0.1 \cdot 2}{({22.4m³/mol}^{2}) + (2 \cdot 0.12 \cdot 22.4m³/mol) - ({0.12}^{2})}))) \cdot (\frac{22.4m³/mol - 0.12}{[R]})}{647K}

Next Step Substitute values of Constants

∴

T r = \frac{(800Pa + ((\frac{0.1 \cdot 2}{({22.4m³/mol}^{2}) + (2 \cdot 0.12 \cdot 22.4m³/mol) - ({0.12}^{2})}))) \cdot (\frac{22.4m³/mol - 0.12}{8.3145})}{647K}

Next Step Prepare to Evaluate

∴

T r = \frac{(800 + ((\frac{0.1 \cdot 2}{({22.4}^{2}) + (2 \cdot 0.12 \cdot 22.4) - ({0.12}^{2})}))) \cdot (\frac{22.4 - 0.12}{8.3145})}{647}

Next Step Evaluate

∴

T r = 3.3133470063313

LAST Step Rounding Answer

∴

T r = 3.3133

Reduced Temperature using Peng Robinson Equation given Critical and Actual Parameters Formula Elements

Variables

Constants

Reduced Temperature

Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.

Symbol: T_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reduced Temperature

Pressure

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: p

Measurement: PressureUnit: Pa