The ideal gas law is given by PV = nRT. This equation is only accurate for a limited range of pressure and temperature. Vander Waals came up with an equation that was accurate for large ranges of pressure and temperature given by (P + ) (V – b) = RT. Where a and b are empirical constants dependent on a particular gas. Given the values of R=0.08, a = 3.592, b 0.04267, p 10 and T=320 ( assume all units to be consistent), one is going to find the specific volume, v, for the given values. Using a 4 step iteration, what would be the value of its volume?
Kinetic Theory of Gas
The Kinetic Theory of gases is a classical model of gases, according to which gases are composed of molecules/particles that are in random motion. While undergoing this random motion, kinetic energy in molecules can assume random velocity across all directions. It also says that the constituent particles/molecules undergo elastic collision, which means that the total kinetic energy remains constant before and after the collision. The average kinetic energy of the particles also determines the pressure of the gas.
P-V Diagram
A P-V diagram is a very important tool of the branch of physics known as thermodynamics, which is used to analyze the working and hence the efficiency of thermodynamic engines. As the name suggests, it is used to measure the changes in pressure (P) and volume (V) corresponding to the thermodynamic system under study. The P-V diagram is used as an indicator diagram to control the given thermodynamic system.
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