The Root-Mean-Square Distance Travelled by a Molecule Undergoing a One-Dimensional

Multiple Choice

The root-mean-square distance travelled by a molecule undergoing a one-dimensional random walk in a liquid or gas in a time interval is . The diffusion coefficient for the diffusion of sucrose through water at a temperature of 20°C is 4.59  10^-10 m² s^-1. Calculate the distance through which a sucrose molecule moves in 1.00 ms.

A) 9.18 m
B) 3.03 m
C) 1.74 mm
D) 95.8 m