Question

what is vender waals gas equation... with explanation

Answer 1

The history of equations of state goes back to 1662 when Boyle concluded that for a given mass of confined gas within a closed system, the absolute pressure and volume are inversely proportional to each other, provided the temperature is kept constant.An improvement over the ideal gas equation of state based on elementary molecular arguments was suggested in 1873 by Van Der Waals who noted that gas molecules actually occupy more than the negligibly small volume presumed by the ideal gas model and also exert long-range attractive forces on each other.

Thus, not all of the volume of a container would be available to the gas molecules and the force they exert on the container wall would be reduced because of the attractive force that exists between molecules. Based on the elementary molecular arguments the van der Waals equation is given as:

P=RT/v−b -a/v2

Answer 2

heyy riya once again nyc to meet u ur  answer..........

The van der Waals equation (or van der Waals equation of state; named after Johannes Diderik van der Waals) is based on plausible reasons that real gases do not follow the ideal gas law. The ideal gas law treats gas molecules as point particles that do not interact except in elastic collisions. In other words, they do not take up any space, and are not attracted or repelled by other gas molecules. 

To account for the volume that a real gas molecule takes up, the van der Waals equation replaces V in the ideal gas law with (V-b), where b is the volume per mole that is occupied by the molecules. This leads to

P(V_{m}-b)

The second modification made to the ideal gas law accounts for the fact that gas molecules do in fact attract each other and that real gases are therefore more compressible than ideal gases. Van der Waals provided for intermolecular attraction by adding to the observed pressure P in the equation of state a term {\displaystyle a/V_{m}^{2}}, where a is a constant whose value depends on the gas. The van der Waals equation is therefore written as;

 (P+a/V_{m}^{2})(V_{m}-b)=RT},

and can also be written as

 (P+an^{2}/V^{2})(V-nb)=nRT........

hope this will help u...............@kundan