Question

during transition from solid to liquid phase an object absorb heat energy but it's temperature does not increase ​

Answer 1

Energy is required to melt a solid because the cohesive bonds between the molecules in the solid must be broken apart so that the molecules can move around at comparable kinetic energies; thus, there is no rise in temperature. There is no temperature change until a phase change is complete.

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Answer 2

$Energy \: is \: required \: to \: melt \: a \: solid \\ \: because \: the \: \: cohesive \: bonds \: between \\ \: the \: molecules \: in \: the \: solid \: \: must \: be \\ broken.$

$apart \: so \: that \: the \: molecules \: can \: move \\ \: around \: at \: \: comparable \: kinetic \\ energies; \: thus, \: there \:  is \: no \: rise \: in \: \\ temperature.$