Start with ‘heat’, which is different that temperature. Heat is the motion energy of all the particles that make up a substance – in this case, water. The particles in a hot thing are moving much faster than the particles in a cold thing. In the water, all this extra motion will help push around the powder you are trying to dissolve, helping it to mix in more quickly.
The ability for a liquid solvent (such as water) to dissolve a solid solute (such as powder) depends, in part, on the temperature of the solvent. One simple way of thinking about it is: Heat = Energy; Energy = Motion of Atoms. The faster the atoms are moving (more energy/heat) the more space there is between them and this is the space that would accommodate the solid particles of the powder. More space = more powder dissolved.
Less heat = less energy = less speed = less space = less powder dissolved.
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