Among the elements $B$,$Al$,$C$,and $Si$,
$(a)$ which element has the highest first ionisation enthalpy?
$(b)$ which element has the most metallic character? Justify your answer in each case.

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(A) The elements are placed in the periodic table as follows:
$2^{nd}$ Period $B$ (Group-$13$),$C$ (Group-$14$)
$3^{rd}$ Period $Al$ (Group-$13$),$Si$ (Group-$14$)

$(a)$ Ionisation enthalpy increases from left to right across a period due to a decrease in atomic size and increases from bottom to top within a group. Among the given elements,$C$ is the furthest to the right and in the $2^{nd}$ period,making it have the highest first ionisation enthalpy.
$(b)$ Metallic character decreases from left to right across a period and increases from top to bottom within a group. $Al$ is in the $3^{rd}$ period and Group-$13$,which makes it the most metallic element among the four.

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