A1 Estimate and express it in terms of the diameter of the molecules . · OlympiadBench #1101
Physics · thermodynamics
Problem
A1 Estimate b and express it in terms of the diameter of the molecules d.
Given constants:
Van der Waals equation of state
In a well-known model of an ideal gas, whose equation of state obeys the Clapeyron-Mendeleev law, the following important physical effects are neglected. First, molecules of a real gas have a finite size and, secondly, they interact with one another. In all parts of this problem one mole of water is considered.
Part A. Non-ideal gas equation of state
Taking into account the finite size of the molecules, the gaseous equation of state takes the form
P(V−b)=RT(1)
where P,V,T stands for the gas pressure, its volume per mole and temperature, respectively, R denotes the universal gas constant, and b is a specific constant extracting some volume.