The temperature dependence of the Gibbs energy and important quantities such as Henry's law constants, activity coefficients, and chemical equilibrium constants is usually calculated by using the Gibbs-Helmholtz equation. Although, this is a well-known approach and traditionally covered as part of any physical chemistry course, the required mathematical treatment for solving the equation can be tedious and prone to mistakes especially when polynomial expressions for the heat capacities are used. In this article, an alternative approach is introduced in which a simple algebraic equation can provide quick and accurate results for the temperature dependence of the Gibbs energy and chemical equilibrium constants. The comparison against the conventional methods and values reported in the literature validate the effectiveness of the proposed equation.