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Temperature using Modified Berthelot Equation given Reduced and Actual Parameters Formula

GoTemperature of Real Gas using Berthelot Equation Formula

GoTemperature of Real Gas using Berthelot Equation given Critical and Reduced Parameters Formula

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Temperature is the degree or intensity of heat present in a substance or object. Check FAQs

T = \frac{p \cdot \frac{V m}{[R]}}{1 + ((\frac{9 \cdot P r}{128 \cdot T r}) \cdot (1 - (\frac{6}{({T r}^{2})})))}

T - Temperature?p - Pressure?V_m - Molar Volume?P_r - Reduced Pressure?T_r - Reduced Temperature?[R] - Universal gas constant?

Temperature using Modified Berthelot Equation given Reduced and Actual Parameters Example

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Here is how the Temperature using Modified Berthelot Equation given Reduced and Actual Parameters equation looks like with Values.

Here is how the Temperature using Modified Berthelot Equation given Reduced and Actual Parameters equation looks like with Units.

Here is how the Temperature using Modified Berthelot Equation given Reduced and Actual Parameters equation looks like.

2155.2801 = \frac{800 \cdot \frac{22.4}{8.3145}}{1 + ((\frac{9 \cdot 3.7E-5}{128 \cdot 10}) \cdot (1 - (\frac{6}{(10^{2})})))}

2155.2801K = \frac{800Pa \cdot \frac{22.4m³/mol}{8.3145}}{1 + ((\frac{9 \cdot 3.7E-5}{128 \cdot 10}) \cdot (1 - (\frac{6}{(10^{2})})))}

2155.2801 = \frac{800 \cdot \frac{22.4}{8.3145}}{1 + ((\frac{9 \cdot 3.7E-5}{128 \cdot 10}) \cdot (1 - (\frac{6}{(10^{2})})))}

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Temperature using Modified Berthelot Equation given Reduced and Actual Parameters Solution

Follow our step by step solution on how to calculate Temperature using Modified Berthelot Equation given Reduced and Actual Parameters?

FIRST Step Consider the formula

T = \frac{p \cdot \frac{V m}{[R]}}{1 + ((\frac{9 \cdot P r}{128 \cdot T r}) \cdot (1 - (\frac{6}{({T r}^{2})})))}

Next Step Substitute values of Variables

∴

T = \frac{800Pa \cdot \frac{22.4m³/mol}{[R]}}{1 + ((\frac{9 \cdot 3.7E-5}{128 \cdot 10}) \cdot (1 - (\frac{6}{(10^{2})})))}

Next Step Substitute values of Constants

∴

T = \frac{800Pa \cdot \frac{22.4m³/mol}{8.3145}}{1 + ((\frac{9 \cdot 3.7E-5}{128 \cdot 10}) \cdot (1 - (\frac{6}{(10^{2})})))}

Next Step Prepare to Evaluate

∴

T = \frac{800 \cdot \frac{22.4}{8.3145}}{1 + ((\frac{9 \cdot 3.7E-5}{128 \cdot 10}) \cdot (1 - (\frac{6}{(10^{2})})))}

Next Step Evaluate

∴

T = 2155.28007885991K

LAST Step Rounding Answer

∴

T = 2155.2801K

Temperature using Modified Berthelot Equation given Reduced and Actual Parameters Formula Elements

Variables

Constants

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find 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

Note: Value can be positive or negative.

Formulas to find Pressure

Molar Volume

Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.

Symbol: V_m

Measurement: Molar Magnetic SusceptibilityUnit: m³/mol

Note: Value can be positive or negative.

Formulas to find Molar Volume

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

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

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Other Formulas to find Temperature

Go Temperature of Real Gas using Berthelot Equation

T = \frac{p + (\frac{a}{V m})}{\frac{[R]}{V m - b}}

Go Temperature of Real Gas using Berthelot Equation given Critical and Reduced Parameters

T = \frac{(P r \cdot P c) + (\frac{a}{V m,r \cdot V m,c})}{\frac{[R]}{(V m,r \cdot V m,c) - b}}

Other formulas in Berthelot and Modified Berthelot Model of Real Gas category

Go Pressure of Real Gas using Berthelot Equation

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

Go Molar Volume of Real Gas using Berthelot Equation

V m = \frac{(\frac{1}{p}) + (\frac{b}{[R] \cdot T})}{(\frac{1}{[R] \cdot T}) - (\frac{T}{a})}

Go Berthelot Parameter of Real Gas

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

Go Berthelot parameter b of Real Gas

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

How to Evaluate Temperature using Modified Berthelot Equation given Reduced and Actual Parameters?

Temperature using Modified Berthelot Equation given Reduced and Actual Parameters evaluator uses Temperature = (Pressure*Molar Volume/[R])/(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))) to evaluate the Temperature, The Temperature using Modified Berthelot equation given reduced and actual parameters 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 evaluate Temperature using Modified Berthelot Equation given Reduced and Actual Parameters using this online evaluator? To use this online evaluator for Temperature using Modified Berthelot Equation given Reduced and Actual Parameters, enter Pressure (p), Molar Volume (V_m), Reduced Pressure (P_r) & Reduced Temperature (T_r) and hit the calculate button.

FAQs on Temperature using Modified Berthelot Equation given Reduced and Actual Parameters

What is the formula to find Temperature using Modified Berthelot Equation given Reduced and Actual Parameters?

The formula of Temperature using Modified Berthelot Equation given Reduced and Actual Parameters is expressed as Temperature = (Pressure*Molar Volume/[R])/(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))). Here is an example- 2155.28 = (800*22.4/[R])/(1+(((9*3.675E-05)/(128*10))*(1-(6/((10^2)))))).

How to calculate Temperature using Modified Berthelot Equation given Reduced and Actual Parameters?

With Pressure (p), Molar Volume (V_m), Reduced Pressure (P_r) & Reduced Temperature (T_r) we can find Temperature using Modified Berthelot Equation given Reduced and Actual Parameters using the formula - Temperature = (Pressure*Molar Volume/[R])/(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))). This formula also uses Universal gas constant .

What are the other ways to Calculate Temperature?

Here are the different ways to Calculate Temperature-

Temperature=(Pressure+(Berthelot Parameter a/Molar Volume))/([R]/(Molar Volume-Berthelot Parameter b))
Temperature=((Reduced Pressure*Critical Pressure)+(Berthelot Parameter a/(Reduced Molar Volume*Critical Molar Volume)))/([R]/((Reduced Molar Volume*Critical Molar Volume)-Berthelot Parameter b))

Can the Temperature using Modified Berthelot Equation given Reduced and Actual Parameters be negative?

Yes, the Temperature using Modified Berthelot Equation given Reduced and Actual Parameters, measured in Temperature can be negative.

Which unit is used to measure Temperature using Modified Berthelot Equation given Reduced and Actual Parameters?

Temperature using Modified Berthelot Equation given Reduced and Actual Parameters is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Temperature using Modified Berthelot Equation given Reduced and Actual Parameters can be measured.

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Temperature using Modified Berthelot Equation given Reduced and Actual Parameters Formula

​GoTemperature of Real Gas using Berthelot Equation Formula

​GoTemperature of Real Gas using Berthelot Equation given Critical and Reduced Parameters Formula

Temperature using Modified Berthelot Equation given Reduced and Actual Parameters Example

Temperature using Modified Berthelot Equation given Reduced and Actual Parameters Solution

Temperature using Modified Berthelot Equation given Reduced and Actual Parameters Formula Elements

Other Formulas to find Temperature

Other formulas in Berthelot and Modified Berthelot Model of Real Gas category

How to Evaluate Temperature using Modified Berthelot Equation given Reduced and Actual Parameters?

FAQs on Temperature using Modified Berthelot Equation given Reduced and Actual Parameters

Variable Name

GoTemperature of Real Gas using Berthelot Equation Formula

GoTemperature of Real Gas using Berthelot Equation given Critical and Reduced Parameters Formula