asprin (C9 H8 O4) is produced by the rection between salicylic acid (C7 H6 O3) and acetic anhydride(C4 H6 O3). Calculate the maximum mass of aspirin that can be obtained if you mix 50g of each of the reactants. The chem.equation for the reaction is as f.f C7 H6 O3(s) + C4 H6 O3(l)>> C9 H8 O4(s)+ CH3 CO2H(L)
To calculate the maximum mass of aspirin that can be obtained, we need to determine the limiting reactant. The limiting reactant is the reactant that is completely consumed in a chemical reaction and determines the maximum amount of product formed.
To find the limiting reactant, we compare the number of moles of each reactant to the stoichiometric ratio in the balanced chemical equation.
Let's start by finding the number of moles for each reactant based on their given mass:
Molar mass of salicylic acid (C7H6O3) = 138.12 g/mol
Molar mass of acetic anhydride (C4H6O3) = 102.09 g/mol
For salicylic acid (C7H6O3):
Number of moles = Mass / Molar mass = 50 g / 138.12 g/mol = 0.362 mol
For acetic anhydride (C4H6O3):
Number of moles = Mass / Molar mass = 50 g / 102.09 g/mol = 0.489 mol
Now, let's compare the number of moles for both reactants to the stoichiometric ratio in the balanced chemical equation:
From the balanced equation, we see that the stoichiometric ratio between salicylic acid and aspirin is 1:1. This means 1 mole of salicylic acid reacts with 1 mole of acetic anhydride to produce 1 mole of aspirin.
Based on this ratio, for every 1 mole of aspirin produced, we need 1 mole of salicylic acid.
Since the number of moles of salicylic acid (0.362 mol) is less than the number of moles of acetic anhydride (0.489 mol), salicylic acid is the limiting reactant.
Now, let's calculate the mass of aspirin that can be obtained using the limiting reactant:
Molar mass of aspirin (C9H8O4) = 180.16 g/mol
Number of moles of aspirin = Number of moles of limiting reactant (salicylic acid) = 0.362 mol
Mass of aspirin = Number of moles × Molar mass = 0.362 mol × 180.16 g/mol ≈ 65.3 g
Therefore, the maximum mass of aspirin that can be obtained is approximately 65.3 grams when 50 grams of each reactant is used.