The partition function for a particle in a one-dimensional box and two-dimensional box is to be predicted. Concept introduction: Statistical thermodynamics is used to describe all possible configurations in a system at given physical quantities such as pressure, temperature and number of particles in the system. An important quantity in thermodynamics is partition function that is represented as, q ≡ ∑ i g i e − ∈ i / kT Where, • g i represents the degeneracy. • ∈ i represents the energy of i t h microstate. • k represents the Boltzmann constant with value 1.38 × 10 − 23 J / K . • T represents the temperature ( K ) . It is also called as canonical ensemble partition function.

Question

You are trying to decide if there is a single reagent you can add that will make the following synthesis possible without any other major side products: xi 1. ☑ 2. H₂O хе i Draw the missing reagent X you think will make this synthesis work in the drawing area below. If there is no reagent that will make your desired product in good yield or without complications, just check the box under the drawing area and leave it blank. Click and drag to start drawing a structure. There is no reagent that will make this synthesis work without complications. : ☐ S ☐

Answer 1

Question

Chapter 17, Problem 17.41E

Interpretation Introduction

Interpretation:

The partition function for a particle in a one-dimensional box and two-dimensional box is to be predicted.

Concept introduction:

Statistical thermodynamics is used to describe all possible configurations in a system at given physical quantities such as pressure, temperature and number of particles in the system. An important quantity in thermodynamics is partition function that is represented as,

q≡∑igie−∈i/kT

Where,

• gi represents the degeneracy.

• ∈i represents the energy of ith microstate.

• k represents the Boltzmann constant with value 1.38×10−23 J/K.

• T represents the temperature (K).

It is also called as canonical ensemble partition function.

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