When you try to melt a little metal in a larger crucible why does it takes much longer time . If you take more of metal in the same crucible it will melt fast . Why do you need to take a smaller one for less metal
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Heat Capacity and Thermal Conductivity play important roles.
Heat capacity matters because both the metal and the crucible need to absorb energy in order to increase in temperature. (And you need the metal to reach sufficiently high temperature before it will melt.)
Thermal conductivity matters because the metal in the crucible transfers heat to the crucible; if it transfers heat very well then you are essentially heating both at the same time until they both reach the melting point of the metal. (i.e. you’re not heating *just* the small amount of metal, although that would be ideal and most perfectly efficient.)
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