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Temperature is the degree or intensity of heat present in a substance or object. Check FAQs
T=p+(aVm)[R]Vm-b
T - Temperature?p - Pressure?a - Berthelot Parameter a?Vm - Molar Volume?b - Berthelot Parameter b?[R] - Universal gas constant?

Temperature of Real Gas using Berthelot Equation Example

With values
With units
Only example

Here is how the Temperature of Real Gas using Berthelot Equation equation looks like with Values.

Here is how the Temperature of Real Gas using Berthelot Equation equation looks like with Units.

Here is how the Temperature of Real Gas using Berthelot Equation equation looks like.

2136.0489Edit=800Edit+(0.1Edit22.4Edit)8.314522.4Edit-0.2Edit
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Temperature of Real Gas using Berthelot Equation Solution

Follow our step by step solution on how to calculate Temperature of Real Gas using Berthelot Equation?

FIRST Step Consider the formula
T=p+(aVm)[R]Vm-b
Next Step Substitute values of Variables
T=800Pa+(0.122.4m³/mol)[R]22.4m³/mol-0.2
Next Step Substitute values of Constants
T=800Pa+(0.122.4m³/mol)8.314522.4m³/mol-0.2
Next Step Prepare to Evaluate
T=800+(0.122.4)8.314522.4-0.2
Next Step Evaluate
T=2136.04894540829K
LAST Step Rounding Answer
T=2136.0489K

Temperature of Real Gas using Berthelot Equation 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.
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.
Berthelot Parameter a
Berthelot parameter a is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.
Symbol: a
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Molar Volume
Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.
Symbol: Vm
Measurement: Molar Magnetic SusceptibilityUnit: m³/mol
Note: Value can be positive or negative.
Berthelot Parameter b
Berthelot parameter b is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.
Symbol: b
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
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 using Modified Berthelot Equation given Reduced and Actual Parameters
T=pVm[R]1+((9Pr128Tr)(1-(6(Tr2))))
​Go Temperature of Real Gas using Berthelot Equation given Critical and Reduced Parameters
T=(PrPc)+(aVm,rVm,c)[R](Vm,rVm,c)-b

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

​Go Pressure of Real Gas using Berthelot Equation
p=([R]TVm-b)-(aT(Vm2))
​Go Molar Volume of Real Gas using Berthelot Equation
Vm=(1p)+(b[R]T)(1[R]T)-(Ta)
​Go Berthelot Parameter of Real Gas
a=(([R]TVm-b)-p)(T(Vm2))
​Go Berthelot parameter b of Real Gas
b=Vm-([R]Tp+(aT(Vm2)))

How to Evaluate Temperature of Real Gas using Berthelot Equation?

Temperature of Real Gas using Berthelot Equation evaluator uses Temperature = (Pressure+(Berthelot Parameter a/Molar Volume))/([R]/(Molar Volume-Berthelot Parameter b)) to evaluate the Temperature, The Temperature of Real Gas using Berthelot equation 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 of Real Gas using Berthelot Equation using this online evaluator? To use this online evaluator for Temperature of Real Gas using Berthelot Equation, enter Pressure (p), Berthelot Parameter a (a), Molar Volume (Vm) & Berthelot Parameter b (b) and hit the calculate button.

FAQs on Temperature of Real Gas using Berthelot Equation

What is the formula to find Temperature of Real Gas using Berthelot Equation?
The formula of Temperature of Real Gas using Berthelot Equation is expressed as Temperature = (Pressure+(Berthelot Parameter a/Molar Volume))/([R]/(Molar Volume-Berthelot Parameter b)). Here is an example- 2136.049 = (800+(0.1/22.4))/([R]/(22.4-0.2)).
How to calculate Temperature of Real Gas using Berthelot Equation?
With Pressure (p), Berthelot Parameter a (a), Molar Volume (Vm) & Berthelot Parameter b (b) we can find Temperature of Real Gas using Berthelot Equation using the formula - Temperature = (Pressure+(Berthelot Parameter a/Molar Volume))/([R]/(Molar Volume-Berthelot Parameter b)). 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*Molar Volume/[R])/(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2))))))OpenImg
  • Temperature=((Reduced Pressure*Critical Pressure)+(Berthelot Parameter a/(Reduced Molar Volume*Critical Molar Volume)))/([R]/((Reduced Molar Volume*Critical Molar Volume)-Berthelot Parameter b))OpenImg
Can the Temperature of Real Gas using Berthelot Equation be negative?
Yes, the Temperature of Real Gas using Berthelot Equation, measured in Temperature can be negative.
Which unit is used to measure Temperature of Real Gas using Berthelot Equation?
Temperature of Real Gas using Berthelot Equation is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Temperature of Real Gas using Berthelot Equation can be measured.
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