Chapter 1, Problem 1.56E

Interpretation Introduction

Interpretation:

The Dieterici equation of state for one mole of gas is $p=RT \frac{e^{\frac{-a}{\overline{V}RT}}}{\left(\overline{V}-b\right)}$ Where a and b are constants determined experimentally. For NH₃(g), a = 10.91 atm. L² and b = 0.0404 L. Pressure p is to be calculated when $\overline{V}=22.41\mathrm{ }\mathrm{L}$ and T = 273.15K. The variation of pressure from the pressure values predicted by ideal as law is to be calculated.

Concept introduction:

The ideal gas law considered the molecules of a gas as point particles with perfectly elastic collisions among them in nature. Thus, a modification of the ideal gas equation was coined by Johannes D. van der Waals in 1873 to consider size of molecules and the interaction forces among them. Berthelot modified the van der Waals equation as modified Berthelot model of state and further changes was made, and the equation was provided as Dieterici equation of state.