Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters Calculator

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure [P_r]			+10% -10%
✖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%
✖Volume is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume [V_T]			+10% -10%

✖Critical Temperature of Real Gases is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.ⓘ Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters [T_critical]

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Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters

Formula

T critical = \frac{T}{\frac{\frac{9 \cdot P r}{128}}{(\frac{p \cdot V T}{[R] \cdot T}) - 1}}

Example

-9436099.263745 K = \frac{85 K}{\frac{\frac{9 \cdot 3.675E-5}{128}}{(\frac{800 Pa \cdot 0.63 m³}{[R] \cdot 85 K}) - 1}}

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Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Temperature of Real Gases = Temperature/(((9*Reduced Pressure)/128)/(((Pressure*Volume)/([R]*Temperature))-1))
T_critical = T/(((9*P_r)/128)/(((p*V_T)/([R]*T))-1))
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Critical Temperature of Real Gases - (Measured in Kelvin) - Critical Temperature of Real Gases is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
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.
Volume - (Measured in Cubic Meter) - Volume is the amount of space that a substance or object occupies or that is enclosed within a container.

STEP 1: Convert Input(s) to Base Unit

Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Reduced Pressure: 3.675E-05 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Volume: 0.63 Cubic Meter --> 0.63 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_critical = T/(((9*P_r)/128)/(((p*V_T)/([R]*T))-1)) --> 85/(((9*3.675E-05)/128)/(((800*0.63)/([R]*85))-1))

Evaluating ... ...

T_critical = -9436099.26374499

STEP 3: Convert Result to Output's Unit

-9436099.26374499 Kelvin --> No Conversion Required

FINAL ANSWER

-9436099.26374499 ≈ -9436099.263745 Kelvin <-- Critical Temperature of Real Gases

(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 » Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters

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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))

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

Critical Temperature of Real Gases = Temperature/(((9*Reduced Pressure)/128)/(((Pressure*Volume)/([R]*Temperature))-1))
T_critical = T/(((9*P_r)/128)/(((p*V_T)/([R]*T))-1))

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 Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters?

Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters calculator uses Critical Temperature of Real Gases = Temperature/(((9*Reduced Pressure)/128)/(((Pressure*Volume)/([R]*Temperature))-1)) to calculate the Critical Temperature of Real Gases, The Critical Temperature using Modified Berthelot equation given reduced and actual parameters formula is defined as the highest temperature at which the substance can exist as a liquid. That is the temperature at which the phase boundaries vanish, and the substance can exist both as a liquid and vapor. Critical Temperature of Real Gases is denoted by T_critical symbol.

How to calculate Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters using this online calculator? To use this online calculator for Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters, enter Temperature (T), Reduced Pressure (P_r), Pressure (p) & Volume (V_T) and hit the calculate button. Here is how the Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters calculation can be explained with given input values -> -9436099.263745 = 85/(((9*3.675E-05)/128)/(((800*0.63)/([R]*85))-1)).

FAQ

What is Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters?

The Critical Temperature using Modified Berthelot equation given reduced and actual parameters formula is defined as the highest temperature at which the substance can exist as a liquid. That is the temperature at which the phase boundaries vanish, and the substance can exist both as a liquid and vapor and is represented as T_critical = T/(((9*P_r)/128)/(((p*V_T)/([R]*T))-1)) or Critical Temperature of Real Gases = Temperature/(((9*Reduced Pressure)/128)/(((Pressure*Volume)/([R]*Temperature))-1)). Temperature is the degree or intensity of heat present in a substance or object, Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & Volume is the amount of space that a substance or object occupies or that is enclosed within a container.

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

The Critical Temperature using Modified Berthelot equation given reduced and actual parameters formula is defined as the highest temperature at which the substance can exist as a liquid. That is the temperature at which the phase boundaries vanish, and the substance can exist both as a liquid and vapor is calculated using Critical Temperature of Real Gases = Temperature/(((9*Reduced Pressure)/128)/(((Pressure*Volume)/([R]*Temperature))-1)). To calculate Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters, you need Temperature (T), Reduced Pressure (P_r), Pressure (p) & Volume (V_T). With our tool, you need to enter the respective value for Temperature, Reduced Pressure, Pressure & Volume and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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