The Dieterici equation of state for one mole of gas is p = R T e - a V ¯ R T V ¯ - b Where a and b are constants determined experimentally. For NH 3 (g), a = 10.91 atm. L 2 and b = 0.0404 L. Pressure p is to be calculated when V ¯ = 22.41 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.

Question

It is not unexpected that the methoxyl substituent on a cyclohexane ring prefers to adopt the equatorial conformation. OMe H A G₂ = +0.6 kcal/mol OMe What is unexpected is that the closely related 2-methoxytetrahydropyran prefers the axial conformation: H H OMe OMe A Gp=-0.6 kcal/mol Methoxy: CH3O group Please be specific and clearly write the reason why this is observed. This effect that provides stabilization of the axial OCH 3 group in this molecule is called the anomeric effect. [Recall in the way of example, the staggered conformer of ethane is more stable than eclipsed owing to bonding MO interacting with anti-bonding MO...]

Answer 1

Question

Chapter 1, Problem 1.56E

Interpretation Introduction

Interpretation:

The Dieterici equation of state for one mole of gas is p=RT e-aV¯RTV¯-b 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 V¯=22.41 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.

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