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This is so because one molecule of calcium carbide consists of one calcium atom and two carbom atoms.
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Hope i helped u:)
bt the valency of carbon is 4.so the formula should be Ca2C

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Also, the electron affnity of carbon  :   153.9 Kilo Joule / mol
for calcium it is just 2.37 kilo Joule / Mol
electrons in carbon are bonded strongly.
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