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IB DIPLOMA 38 - (CHEMUIL,III. Summer 2022 Q2) - Stavehometric Relariesship 0.02 mol of zinc is added to 10.0cm^3 of 1.0moldm^-3 hydrochloric acid. Zn(s)+2HCl(aq)arrow ZnCl_(2)(aq)+H_(2)(g) How many moles of hydrogen are produced? A. 0.005 B.0.01 C. 0.02 D. 0.04
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To determine the number of moles of hydrogen produced, we need to use stoichiometry based on the balanced chemical equation provided:
From the balanced equation, we see that 1 mole of zinc reacts with 2 moles of hydrochloric acid to produce 1 mole of hydrogen gas.First, let's calculate the moles of hydrochloric acid available:
Since 1 dm³ = 1000 cm³, the concentration in mol/L (M) is already given as 1.0 M.Now, calculate the moles of HCl:
Next, compare the moles of HCl with the moles of zinc:
Since 1 mole of zinc reacts with 2 moles of HCl, we need 0.02 moles of zinc to react with 0.040 moles of HCl. However, we only have 0.010 moles of HCl available, which is insufficient to completely react with the zinc.Therefore, the limiting reactant is HCl. The amount of hydrogen produced will be based on the amount of HCl available:
So, the number of moles of hydrogen produced is:
Thus, the correct answer is:B. 0.01