## Credits

Indian Institute of Technology (IIT), Kanpur
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## Van der Waals equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
van_der_walls_equation = ([R]*Temperature/(Molar Volume-Gas Constant b))-(Gas Constant a/Molar Volume^2)
P = ([R]*T/(Vm-b))-(a/Vm^2)
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Temperature - Temperature is the degree or intensity of heat present in a substance or object. (Measured in Kelvin)
Molar Volume - Molar Volume is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure. (Measured in Cubic Meter per Mole)
Gas Constant b - Gas Constant b adjusts for the volume occupied by the gas particles. It is a correction for finite molecular size and its value is the volume of one mole of the atoms or molecules. (Measured in Cubic Meter per Mole)
Gas Constant a- Gas Constant a, provides a correction for intermolecular forces and is a characteristic of the individual gas.
STEP 1: Convert Input(s) to Base Unit
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required
Gas Constant b: 3.052E-05 Cubic Meter per Mole --> 3.052E-05 Cubic Meter per Mole No Conversion Required
Gas Constant a: 0.547 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = ([R]*T/(Vm-b))-(a/Vm^2) --> ([R]*85/(22.4-3.052E-05))-(0.547/22.4^2)
Evaluating ... ...
P = 31.5493690098296
STEP 3: Convert Result to Output's Unit
31.5493690098296 Pascal --> No Conversion Required
31.5493690098296 Pascal <-- Van der Waals equation
(Calculation completed in 00.000 seconds)

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### Van der Waals equation Formula

van_der_walls_equation = ([R]*Temperature/(Molar Volume-Gas Constant b))-(Gas Constant a/Molar Volume^2)
P = ([R]*T/(Vm-b))-(a/Vm^2)

## What is Van der Waals equation?

The van der Waals equation is a thermodynamic equation of state based on the theory that fluids are composed of particles with non-zero volumes, and subject to a (not necessarily pairwise) inter-particle attractive force. The van der Waals equation of state approaches the ideal gas law PV=nRT as the values of these constants approach zero.

## How to Calculate Van der Waals equation?

Van der Waals equation calculator uses van_der_walls_equation = ([R]*Temperature/(Molar Volume-Gas Constant b))-(Gas Constant a/Molar Volume^2) to calculate the Van der Waals equation, The Van der Waals equation is a thermodynamic equation of state based on the theory that fluids are composed of particles with non-zero volumes, and subject to a (not necessarily pairwise) inter-particle attractive force. Van der Waals equation is denoted by P symbol.

How to calculate Van der Waals equation using this online calculator? To use this online calculator for Van der Waals equation, enter Temperature (T), Molar Volume (Vm), Gas Constant b (b) & Gas Constant a (a) and hit the calculate button. Here is how the Van der Waals equation calculation can be explained with given input values -> 31.54937 = ([R]*85/(22.4-3.052E-05))-(0.547/22.4^2).

### FAQ

What is Van der Waals equation?
The Van der Waals equation is a thermodynamic equation of state based on the theory that fluids are composed of particles with non-zero volumes, and subject to a (not necessarily pairwise) inter-particle attractive force and is represented as P = ([R]*T/(Vm-b))-(a/Vm^2) or van_der_walls_equation = ([R]*Temperature/(Molar Volume-Gas Constant b))-(Gas Constant a/Molar Volume^2). Temperature is the degree or intensity of heat present in a substance or object, Molar Volume is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure, Gas Constant b adjusts for the volume occupied by the gas particles. It is a correction for finite molecular size and its value is the volume of one mole of the atoms or molecules & Gas Constant a, provides a correction for intermolecular forces and is a characteristic of the individual gas.
How to calculate Van der Waals equation?
The Van der Waals equation is a thermodynamic equation of state based on the theory that fluids are composed of particles with non-zero volumes, and subject to a (not necessarily pairwise) inter-particle attractive force is calculated using van_der_walls_equation = ([R]*Temperature/(Molar Volume-Gas Constant b))-(Gas Constant a/Molar Volume^2). To calculate Van der Waals equation, you need Temperature (T), Molar Volume (Vm), Gas Constant b (b) & Gas Constant a (a). With our tool, you need to enter the respective value for Temperature, Molar Volume, Gas Constant b & Gas Constant a 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 Van der Waals equation?
In this formula, Van der Waals equation uses Temperature, Molar Volume, Gas Constant b & Gas Constant a. We can use 10 other way(s) to calculate the same, which is/are as follows -
• air_fuel_ratio = Mass of air/Mass of fuel
• heat_flux = Heat transfer coefficient*(Surface temperature-Temperature of characteristic fluid)
• mean_effective_pressure = Work/Displacement
• otto_cycle_efficiency = 1-(Initial Temperature/Final Temperature)
• diesel_efficiency = 1-1/(Compression ratio^Gamma-1)*(Cutoff ratio^Gamma-1/(Gamma*(Cutoff ratio-1)))
• indicated_thermal_efficiency = Power/Energy Required
• brake_thermal_efficiency = Power/Energy Required
• absolute_humidity = Weight/Volume of Gas
• partial_pressure = Pressure of Gas*1.8*Atmospheric Pressure*Temperature Difference/2700
• degree_of_saturation = Volume of water/Volume of voids
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