Reduced Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters Calculator

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+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%
✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure [P_c]			+10% -10%
✖Critical Temperature 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 [T_c]			+10% -10%
✖Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.ⓘ Critical Molar Volume [V_m,c]			+10% -10%

✖Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.ⓘ Reduced Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters [V_m,r]

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Reduced Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduced Molar Volume = (([R]*Temperature/Pressure)*(1+(((9*Pressure/Critical Pressure)/(128*Temperature/Critical Temperature))*(1-(6/((Temperature^2)/(Critical Temperature^2)))))))/Critical Molar Volume
V_m,r = (([R]*T/p)*(1+(((9*p/P_c)/(128*T/T_c))*(1-(6/((T^2)/(T_c^2)))))))/V_m,c
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Reduced Molar Volume - Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.
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.
Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
Critical Temperature - (Measured in Kelvin) - Critical Temperature 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 Molar Volume - (Measured in Cubic Meter per Mole) - Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.

STEP 1: Convert Input(s) to Base Unit

Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Critical Molar Volume: 11.5 Cubic Meter per Mole --> 11.5 Cubic Meter per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m,r = (([R]*T/p)*(1+(((9*p/P_c)/(128*T/T_c))*(1-(6/((T^2)/(T_c^2)))))))/V_m,c --> (([R]*85/800)*(1+(((9*800/218)/(128*85/647))*(1-(6/((85^2)/(647^2)))))))/11.5

Evaluating ... ...

V_m,r = -52.221478246999

STEP 3: Convert Result to Output's Unit

-52.221478246999 --> No Conversion Required

FINAL ANSWER

-52.221478246999 ≈ -52.221478 <-- Reduced Molar Volume

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

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< Berthelot and Modified Berthelot Model of Real Gas Calculators

Molar Volume of Real Gas using Berthelot Equation

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

Pressure of Real Gas using Berthelot Equation

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

Berthelot Parameter of Real Gas

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

Temperature of Real Gas using Berthelot Equation

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

Reduced Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters Formula

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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 Reduced Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters?

Reduced Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters calculator uses Reduced Molar Volume = (([R]*Temperature/Pressure)*(1+(((9*Pressure/Critical Pressure)/(128*Temperature/Critical Temperature))*(1-(6/((Temperature^2)/(Critical Temperature^2)))))))/Critical Molar Volume to calculate the Reduced Molar Volume, The Reduced Molar Volume using Modified Berthelot equation given critical and actual parameters formula of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume per mole. Reduced Molar Volume is denoted by V_m,r symbol.

How to calculate Reduced Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters using this online calculator? To use this online calculator for Reduced Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters, enter Temperature (T), Pressure (p), Critical Pressure (P_c), Critical Temperature (T_c) & Critical Molar Volume (V_m,c) and hit the calculate button. Here is how the Reduced Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters calculation can be explained with given input values -> -52.221478 = (([R]*85/800)*(1+(((9*800/218)/(128*85/647))*(1-(6/((85^2)/(647^2)))))))/11.5.

FAQ

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

The Reduced Molar Volume using Modified Berthelot equation given critical and actual parameters formula of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume per mole and is represented as V_m,r = (([R]*T/p)*(1+(((9*p/P_c)/(128*T/T_c))*(1-(6/((T^2)/(T_c^2)))))))/V_m,c or Reduced Molar Volume = (([R]*Temperature/Pressure)*(1+(((9*Pressure/Critical Pressure)/(128*Temperature/Critical Temperature))*(1-(6/((Temperature^2)/(Critical Temperature^2)))))))/Critical Molar Volume. Temperature is the degree or intensity of heat present in a substance or object, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature, Critical Temperature 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 Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.

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

The Reduced Molar Volume using Modified Berthelot equation given critical and actual parameters formula of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume per mole is calculated using Reduced Molar Volume = (([R]*Temperature/Pressure)*(1+(((9*Pressure/Critical Pressure)/(128*Temperature/Critical Temperature))*(1-(6/((Temperature^2)/(Critical Temperature^2)))))))/Critical Molar Volume. To calculate Reduced Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters, you need Temperature (T), Pressure (p), Critical Pressure (P_c), Critical Temperature (T_c) & Critical Molar Volume (V_m,c). With our tool, you need to enter the respective value for Temperature, Pressure, Critical Pressure, Critical Temperature & Critical Molar 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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