The article by Richard C. Tolman, published in 1948, explores the effect of droplet size on surface tension using Gibbs' thermodynamic theory of capillarity. The study concludes that surface tension decreases with decreasing droplet size over a wide range of circumstances. The rate of this decrease is estimated, and it is noted that significant reductions in surface tension become apparent for very small droplets. This finding is significant because surface tension plays a crucial role in determining the behavior of small droplets. The introduction sets the stage by discussing previous theoretical work and experimental measurements, highlighting the importance of understanding the behavior of very small droplets. The derivation of the relationship between surface tension \(\sigma\) and droplet radius \(r\) is presented, based on Gibbs' equations for surface tension and pressure differences. The interpretation of the quantity \(\Gamma /(\gamma^{\prime}-\gamma^{\prime \prime})\) is also discussed, which depends on the distance from the surface of tension to the dividing surface where the superficial density of fluid vanishes. The application of the derived relationship shows that surface tension decreases with decreasing droplet radius, with the rate of decrease becoming more significant for smaller droplets. Numerical results are provided, demonstrating that a 30% reduction in surface tension can occur even for droplets where the radius of the surface of tension is five times the distance to the dividing surface. In the concluding remarks, the author acknowledges limitations in the theory as droplet sizes approach very small values, suggesting that more detailed molecular mechanics may be necessary for a complete understanding. However, the study provides valuable insights into the behavior of small droplets, emphasizing the importance of surface tension in their dynamics.The article by Richard C. Tolman, published in 1948, explores the effect of droplet size on surface tension using Gibbs' thermodynamic theory of capillarity. The study concludes that surface tension decreases with decreasing droplet size over a wide range of circumstances. The rate of this decrease is estimated, and it is noted that significant reductions in surface tension become apparent for very small droplets. This finding is significant because surface tension plays a crucial role in determining the behavior of small droplets. The introduction sets the stage by discussing previous theoretical work and experimental measurements, highlighting the importance of understanding the behavior of very small droplets. The derivation of the relationship between surface tension \(\sigma\) and droplet radius \(r\) is presented, based on Gibbs' equations for surface tension and pressure differences. The interpretation of the quantity \(\Gamma /(\gamma^{\prime}-\gamma^{\prime \prime})\) is also discussed, which depends on the distance from the surface of tension to the dividing surface where the superficial density of fluid vanishes. The application of the derived relationship shows that surface tension decreases with decreasing droplet radius, with the rate of decrease becoming more significant for smaller droplets. Numerical results are provided, demonstrating that a 30% reduction in surface tension can occur even for droplets where the radius of the surface of tension is five times the distance to the dividing surface. In the concluding remarks, the author acknowledges limitations in the theory as droplet sizes approach very small values, suggesting that more detailed molecular mechanics may be necessary for a complete understanding. However, the study provides valuable insights into the behavior of small droplets, emphasizing the importance of surface tension in their dynamics.