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The balanced chemical equation is:
AlCl3(aq) + 3AgNO3(aq) -→ 3AgCl(s) + Al(NO3)3(aq)
From the balanced chemical equation, we see that 1 mol of AlCl3 reacts with 3 mol of AgNO3 to produce 3 mol of AgCl. Therefore, 0.500 mol of AlCl3 will react with 1.50 mol of AgNO3 to produce 1.50 mol of AgCl.
The molar mass of AgCl is 143.32 g/mol. Therefore, the mass of AgCl produced is:
1.50 mol AgCl x 143.32 g/mol AgCl = 214.98 g AgCl