The limiting reactant is sodium.
From the reaction equation;
2Na(s)+Br2(g)→2NaBr(s)
We know that the limiting reactant yields the least number of moles of product;
For sodium;
2 mole of Na yields 2 moles of NaBr from the equation
5 moles of Na yields 5 moles of NaBr
For bromine;
1 mole of Br2 yields 2 moles of NaBr
5 moles of Na Br yields 5 × 2/1 = 10 moles of NaBr
We can see that sodium is the limiting reactant here.
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