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K is more reactive.....as according to the periodic table towards the left the metallic character increases down a group as the electropositivity increases down a group....so K being below Na is more reactive....
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K has one more full shell of electron between the nucleus on the outermost electron .thus in K the outermost electron is better shielded from the attractive force of the nucleus it follows therefore that this outermost electron is more easily lost than it is in Na .so K can form K+ more readily than Na can form Na+
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