Final answer:
Vapor pressure is the property of a liquid that increases with increasing temperature due to an increase in the average kinetic energy of the molecules, allowing more molecules to escape into the gas phase.
Step-by-step explanation:
The property of a liquid that increases with increasing temperature is the vapor pressure. As the temperature of a liquid rises, the average kinetic energy (KE) of its molecules also increases. This increase in kinetic energy permits a greater number of molecules to escape the liquid's surface and enter the gas phase, leading to a rise in vapor pressure.
This is distinct from surface tension and viscosity, which generally decrease as temperature increases because the intermolecular forces become less effective as a result of increased molecular motion.