Chapter 16, Problem 16C.8AE

Interpretation Introduction

Interpretation:

The root-mean square distances travelled by an iodine molecule in benzene and by a sucrose molecule in water at $\text{25}{}^{\text{ο}}\text{C}$ in $1.0\text{s}$ have to be calculated.

Concept introduction:

The root-mean-square displacement is defined as an evaluation of the variation of the particle position over time from the reference position.  It is denoted by ${\langle x^2\rangle }^{1/2}$ and expressed by the formula shown below.

    ${\langle x^2\rangle }^{1/2}={\left(2Dt\right)}^{1/2}$