Van der Waal's equation of state

In summary, Van der Waal's equation of state is an approximate theoretical treatment that takes into account the intermolecular attractions between molecules. However, when compared to experimental results, the equation falls short and needs to be reconciled. Suggestions for reconciliation include finding ways to improve the accuracy of the approximations used in the equation.
  • #1
n_anniemae
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Help me on this one - Van der Waal's equation of state

suggest ways of reconciling Van der Waal's equation of state with experimental observations
 
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  • #2
Do you know what Van der Waal's equation is? What are the experimental observations and why should Van der Waal's equation need "reconciling".

In other words, show us what you know about this question so we can help you!
 
  • #3
Vander Waal's equation is given as (P+A/v2)(v-b) = RT which is an approximate theoretical treatment. The molecules are treated as hard attracting spheres and the term a/v2 arises from the intermoleculer attractions. Both a/v2 and b are first approximations only and were used to give 1st order derivations from the ideal gas law.
As compared to experimantal results, the VDW equation of state comes short.I would like to suggestions of how to overcome these short comings so as to be able to reconcile the equation with the experimental results.
 
  • #4
Vander Waal's equation is given as (P+A/v2)(v-b) = RT which is an approximate theoretical treatment. The molecules are treated as hard attracting spheres and the term a/v2 arises from the intermoleculer attractions. Both a/v2 and b are first approximations only and were used to give 1st order derivations from the ideal gas law. PV=NRT
As compared to experimantal results, the VDW equation of state comes short.I would like to suggestions of how to overcome these short comings so as to be able to reconcile the equation with the experimental results.
 

What is Van der Waal's equation of state?

Van der Waal's equation of state is an equation that describes the behavior of gases in non-ideal conditions. It takes into account the volume occupied by gas particles and the attractive forces between them.

What is the significance of Van der Waal's equation of state?

Van der Waal's equation of state is important because it allows for a better understanding of the behavior of real gases, which do not always behave ideally. It helps to correct for the deviations from ideal gas behavior and makes it possible to calculate the properties of gases more accurately.

What are the limitations of Van der Waal's equation of state?

Van der Waal's equation of state is not applicable for all gases and may not accurately describe the behavior of gases at extreme temperatures and pressures. It also does not take into account the effects of intermolecular forces other than Van der Waals forces.

How is Van der Waal's equation of state derived?

Van der Waal's equation of state is derived from the ideal gas law by incorporating corrections for the volume and intermolecular forces of real gases. It was developed by Dutch physicist Johannes Diderik van der Waals in 1873.

What are the units of the constants in Van der Waal's equation of state?

The constant "a" in Van der Waal's equation has units of (pressure)(volume)^2 and the constant "b" has units of volume. These units ensure that the equation is dimensionally consistent and can be used with any unit system.

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