Temperature of Real Gas using Berthelot 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%
✖Berthelot parameter a is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.ⓘ Berthelot Parameter a [a]			+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%
✖Berthelot parameter b is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.ⓘ Berthelot Parameter b [b]			+10% -10%

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Real Gas using Berthelot Equation [T]

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Formula

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Temperature of Real Gas using Berthelot Equation

Formula

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

Example

2136.049 K = \frac{800 Pa + (\frac{0.1}{22.4 m³/mol})}{\frac{[R]}{22.4 m³/mol - 0.2}}

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Temperature of Real Gas using Berthelot Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature = (Pressure+(Berthelot Parameter a/Molar Volume))/([R]/(Molar Volume-Berthelot Parameter b))
T = (p+(a/V_m))/([R]/(V_m-b))
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Temperature - (Measured in Kelvin) - Temperature 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.
Berthelot Parameter a - Berthelot parameter a is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.
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.
Berthelot Parameter b - Berthelot parameter b is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.

STEP 1: Convert Input(s) to Base Unit

Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Berthelot Parameter a: 0.1 --> No Conversion Required
Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required
Berthelot Parameter b: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (p+(a/V_m))/([R]/(V_m-b)) --> (800+(0.1/22.4))/([R]/(22.4-0.2))

Evaluating ... ...

T = 2136.04894540829

STEP 3: Convert Result to Output's Unit

2136.04894540829 Kelvin --> No Conversion Required

FINAL ANSWER

2136.04894540829 ≈ 2136.049 Kelvin <-- Temperature

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Berthelot and Modified Berthelot Model of Real Gas » Temperature of Real Gas using Berthelot Equation

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< Berthelot and Modified Berthelot Model of Real Gas Calculators

Molar Volume of Real Gas using Berthelot Equation

Go Molar Volume = ((1/Pressure)+(Berthelot Parameter b/([R]*Temperature)))/((1/([R]*Temperature))-(Temperature/Berthelot Parameter a))

Pressure of Real Gas using Berthelot Equation

Go Pressure = (([R]*Temperature)/(Molar Volume-Berthelot Parameter b))-(Berthelot Parameter a/(Temperature*(Molar Volume^2)))

Berthelot Parameter of Real Gas

Go Berthelot Parameter a = ((([R]*Temperature)/(Molar Volume-Berthelot Parameter b))-Pressure)*(Temperature*(Molar Volume^2))

Temperature of Real Gas using Berthelot Equation

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

Temperature of Real Gas using Berthelot Equation Formula

Temperature = (Pressure+(Berthelot Parameter a/Molar Volume))/([R]/(Molar Volume-Berthelot Parameter b))
T = (p+(a/V_m))/([R]/(V_m-b))

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 Berthelot Equation?

Temperature of Real Gas using Berthelot Equation calculator uses Temperature = (Pressure+(Berthelot Parameter a/Molar Volume))/([R]/(Molar Volume-Berthelot Parameter b)) to calculate 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 calculate Temperature of Real Gas using Berthelot Equation using this online calculator? To use this online calculator for Temperature of Real Gas using Berthelot Equation, enter Pressure (p), Berthelot Parameter a (a), Molar Volume (V_m) & Berthelot Parameter b (b) and hit the calculate button. Here is how the Temperature of Real Gas using Berthelot Equation calculation can be explained with given input values -> 2136.049 = (800+(0.1/22.4))/([R]/(22.4-0.2)).

FAQ

What is Temperature of Real Gas using Berthelot Equation?

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 and is represented as T = (p+(a/V_m))/([R]/(V_m-b)) or Temperature = (Pressure+(Berthelot Parameter a/Molar Volume))/([R]/(Molar Volume-Berthelot Parameter b)). Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Berthelot parameter a is an empirical parameter characteristic to equation obtained from Berthelot model of real gas, Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure & Berthelot parameter b is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.

How to calculate Temperature of Real Gas using Berthelot Equation?

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 is calculated using Temperature = (Pressure+(Berthelot Parameter a/Molar Volume))/([R]/(Molar Volume-Berthelot Parameter b)). To calculate Temperature of Real Gas using Berthelot Equation, you need Pressure (p), Berthelot Parameter a (a), Molar Volume (V_m) & Berthelot Parameter b (b). With our tool, you need to enter the respective value for Pressure, Berthelot Parameter a, Molar Volume & Berthelot Parameter b and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Temperature?

In this formula, Temperature uses Pressure, Berthelot Parameter a, Molar Volume & Berthelot Parameter b. We can use 2 other way(s) to calculate the same, which is/are as follows -

Temperature = (Pressure*Molar Volume/[R])/(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2))))))
Temperature = ((Reduced Pressure*Critical Pressure)+(Berthelot Parameter a/(Reduced Molar Volume*Critical Molar Volume)))/([R]/((Reduced Molar Volume*Critical Molar Volume)-Berthelot Parameter b))

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