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Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters Formula

GoReduced Temperature of Real Gas given Wohl Parameter a, Actual and Critical Parameters Formula

GoReduced Temperature of Real Gas given Wohl Parameter a. and Actual and Reduced 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{\frac{[R]}{((P r \cdot P, c) + (\frac{a}{(V' r \cdot V' c) \cdot ((V' r \cdot V' c) - b)}) - (\frac{c}{({(V' r \cdot V' c)}^{3})})) \cdot ((V' r \cdot V' c) - b)}}{T' c}

T_r - Reduced Temperature?P_r - Reduced Pressure?P,_c - Critical Pressure for Peng Robinson Model?a - Wohl Parameter a?V'_r - Reduced Molar Volume for P-R Method?V'_c - Critical Molar Volume for Peng Robinson Model?b - Wohl Parameter b?c - Wohl Parameter c?T'_c - Critical Temperature of Real Gas?[R] - Universal gas constant?

Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters Example

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Here is how the Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters equation looks like with Values.

Here is how the Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters equation looks like with Units.

Here is how the Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters equation looks like.

7.6E-6 = \frac{\frac{8.3145}{((0.0024 \cdot 4.6E+6) + (\frac{266}{(246.78 \cdot 0.0025) \cdot ((246.78 \cdot 0.0025) - 0.0062)}) - (\frac{21}{({(246.78 \cdot 0.0025)}^{3})})) \cdot ((246.78 \cdot 0.0025) - 0.0062)}}{154.4}

7.6E-6 = \frac{\frac{8.3145}{((0.0024 \cdot 4.6E+6Pa) + (\frac{266}{(246.78 \cdot 0.0025m³/mol) \cdot ((246.78 \cdot 0.0025m³/mol) - 0.0062)}) - (\frac{21}{({(246.78 \cdot 0.0025m³/mol)}^{3})})) \cdot ((246.78 \cdot 0.0025m³/mol) - 0.0062)}}{154.4K}

7.6E-6 = \frac{\frac{8.3145}{((0.0024 \cdot 4.6E+6) + (\frac{266}{(246.78 \cdot 0.0025) \cdot ((246.78 \cdot 0.0025) - 0.0062)}) - (\frac{21}{({(246.78 \cdot 0.0025)}^{3})})) \cdot ((246.78 \cdot 0.0025) - 0.0062)}}{154.4}

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Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters Solution

Follow our step by step solution on how to calculate Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters?

FIRST Step Consider the formula

T r = \frac{\frac{[R]}{((P r \cdot P, c) + (\frac{a}{(V' r \cdot V' c) \cdot ((V' r \cdot V' c) - b)}) - (\frac{c}{({(V' r \cdot V' c)}^{3})})) \cdot ((V' r \cdot V' c) - b)}}{T' c}

Next Step Substitute values of Variables

∴

T r = \frac{\frac{[R]}{((0.0024 \cdot 4.6E+6Pa) + (\frac{266}{(246.78 \cdot 0.0025m³/mol) \cdot ((246.78 \cdot 0.0025m³/mol) - 0.0062)}) - (\frac{21}{({(246.78 \cdot 0.0025m³/mol)}^{3})})) \cdot ((246.78 \cdot 0.0025m³/mol) - 0.0062)}}{154.4K}

Next Step Substitute values of Constants

∴

T r = \frac{\frac{8.3145}{((0.0024 \cdot 4.6E+6Pa) + (\frac{266}{(246.78 \cdot 0.0025m³/mol) \cdot ((246.78 \cdot 0.0025m³/mol) - 0.0062)}) - (\frac{21}{({(246.78 \cdot 0.0025m³/mol)}^{3})})) \cdot ((246.78 \cdot 0.0025m³/mol) - 0.0062)}}{154.4K}

Next Step Prepare to Evaluate

∴

T r = \frac{\frac{8.3145}{((0.0024 \cdot 4.6E+6) + (\frac{266}{(246.78 \cdot 0.0025) \cdot ((246.78 \cdot 0.0025) - 0.0062)}) - (\frac{21}{({(246.78 \cdot 0.0025)}^{3})})) \cdot ((246.78 \cdot 0.0025) - 0.0062)}}{154.4}

Next Step Evaluate

∴

T r = 7.56463790458144E-06

LAST Step Rounding Answer

∴

T r = 7.6E-6

Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical 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

Reduced Pressure

Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.

Symbol: P_r

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Reduced Pressure

Critical Pressure for Peng Robinson Model

Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature.

Symbol: P,_c

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Critical Pressure for Peng Robinson Model

Wohl Parameter a

Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas.

Symbol: a

Measurement: NAUnit: Unitless