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To determine the number of moles of acetylene gas produced when 0.50 mole of calcium carbide (CaC2) reacts, we need to use the balanced chemical equation for the reaction:
CaC2 + 2H2O → C2H2 + Ca(OH)2
By examining the balanced equation, we can see that one mole of calcium carbide reacts to produce one mole of acetylene gas. Therefore, the number of moles of acetylene gas produced will be equal to the number of moles of calcium carbide used.
In this case, 0.50 moles of calcium carbide are reacted. So, the number of moles of acetylene gas produced will also be 0.50 moles.