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A chemistry student has 10 grams of magnesium and 15 grams of oxygen gas to produce magnesium oxide. What is the limiting reactant and how much magnesium oxide can be produced?

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To determine the limiting reactant and the amount of magnesium oxide that can be produced, we need to use the stoichiometry of the balanced chemical equation for the reaction:2 Mg  s  + O  g   2 MgO  s First, we need to find the molar mass of magnesium  Mg  and oxygen  O .Molar mass of Mg = 24.31 g/molMolar mass of O = 2  16.00 g/mol = 32.00 g/molNow, we'll convert the given masses of Mg and O to moles.Moles of Mg =  10 g  /  24.31 g/mol  = 0.411 molesMoles of O =  15 g  /  32.00 g/mol  = 0.469 molesNext, we'll determine the mole ratio of Mg to O in the balanced chemical equation:Mole ratio  Mg:O  = 2:1Now, we'll compare the mole ratio of the given reactants to the balanced chemical equation:Mole ratio of given reactants  Mg:O  =  0.411 moles  /  0.469 moles  = 0.876Since the mole ratio of the given reactants  0.876  is greater than the mole ratio in the balanced chemical equation  2:1 = 0.5 , this means that magnesium  Mg  is the limiting reactant.Now, we'll find out how much magnesium oxide  MgO  can be produced using the limiting reactant  Mg . We'll use the stoichiometry of the balanced chemical equation:2 moles of Mg  2 moles of MgO0.411 moles of Mg  x moles of MgOx =  0.411 moles of Mg    2 moles of MgO / 2 moles of Mg  = 0.411 moles of MgONow, we'll convert moles of MgO to grams:Mass of MgO =  0.411 moles    40.31 g/mol  = 16.55 gTherefore, the limiting reactant is magnesium  Mg , and 16.55 grams of magnesium oxide  MgO  can be produced.

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