Sticky physics of joy: On the dissolution of spherical candies

TL;DR

This paper presents a simple mathematical model for the dissolution of spherical candies, validated by experimental data, and explores strategies for enjoying candies based on dissolution behavior.

Contribution

It introduces a straightforward, surface-area-based model for candy dissolution and compares it with experimental results, addressing practical enjoyment strategies.

Findings

Model accurately predicts dissolution until 2 mm diameter

Experimental data confirms the model's validity

Insights into optimal candy-eating strategies

Abstract

Assuming a constant mass-decrease per unit-surface and -time we provide a very simplistic model for the dissolution process of spherical candies. The aim is to investigate the quantitative behavior of the dissolution process throughout the act of eating the candy. In our model we do not take any microscopic mechanism of the dissolution process into account, but rather provide an estimate which is based on easy-to-follow calculations. Having obtained a description based on this calculation, we confirm the assumed behavior by providing experimental data of the dissolution process. Besides a deviation from our prediction caused by the production process of the candies below a diameter of 2 mm, we find good agreement with our model-based expectations. Serious questions on the optimal strategy of enjoying a candy will be addressed, like whether it is wise to split the candy by breaking it with the teeth or not.