Number of moles of P4 = 112 g / 123.90 g/mol = 0.904 mole
Number of moles of Cl2 = 303 g / 70.9060 g/mol = 4.27 mole
From the balanced equation we can say that
1 mole of P4 requires 6 mole of Cl2 so
0.904 mole of P4 will require
= 0.904 mole of P4 *(6 mole of Cl2 / 1 mole of P4)
= 5.42 mole of Cl2
But we have only 4.27 mole of Cl2 which is in short so Cl2 is limiting reactant
From the balanced equation we can say that
6 mole of Cl2 produces 4 mole of PCl3 so
4.27 mole of Cl2 will produce
= 4.27 mole of Cl2 *(4 mole of PCl3 / 6 mole of Cl2)
= 17.1 mole of PCl3
mass of 1 mole of PCl3 = 137.33 g so
the mass of 17.1 mole of PCl3 = 2348 g
Therefore, the mass of PCl3 produced would be 2348 g
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