The relationship between temperature and surface tension of a liquid is generally an inverse one. As the temperature of a liquid increases, its surface tension typically decreases. This is because the increased kinetic energy of the molecules at higher temperatures weakens the intermolecular forces that hold the liquid together, resulting in a lower surface tension.To experimentally determine the relationship between temperature and surface tension using a stalagmometer and the capillary rise method, follow these steps:1. Prepare the stalagmometer: A stalagmometer is a device used to measure the surface tension of a liquid by counting the number of drops formed under specific conditions. It consists of a thin capillary tube connected to a reservoir. Clean and dry the stalagmometer before starting the experiment.2. Fill the stalagmometer with the liquid: Carefully fill the reservoir and capillary tube with the liquid whose surface tension you want to measure. Make sure there are no air bubbles trapped inside.3. Measure the capillary rise: Place the end of the capillary tube in contact with a flat surface, such as a glass slide. Observe the height to which the liquid rises in the capillary tube due to surface tension. Record this height h .4. Measure the temperature: Use a thermometer to measure the temperature T of the liquid.5. Repeat the experiment at different temperatures: Heat or cool the liquid to different temperatures and repeat steps 3 and 4. Make sure to allow the liquid to reach thermal equilibrium before taking measurements.6. Calculate the surface tension: Using the capillary rise method, the surface tension can be calculated using the formula: = ghr / 2 where is the density of the liquid, g is the acceleration due to gravity, h is the capillary rise, and r is the radius of the capillary tube.7. Plot the data: Create a graph with temperature on the x-axis and surface tension on the y-axis. Plot the data points obtained from the experiment.8. Analyze the relationship: Observe the trend in the graph to determine the relationship between temperature and surface tension for the liquid. In most cases, you will see an inverse relationship, with surface tension decreasing as temperature increases.By following these steps, you can experimentally determine the relationship between temperature and surface tension of a liquid using a stalagmometer and the capillary rise method.