Middle School

How many moles of HCl would react with 37.1 mL of 0.138 M [tex]\text{Sr(OH)}_2[/tex]?

Answer :

Answer is: 0.102 moles of HCl would react.

Balanced chemical reaction:

2HCl(aq) + Sr(OH)₂ → SrCl₂(aq) + 2H₂O(l).

V(Sr(OH)₂) = 37.1 mL ÷ 1000 mL/L.

V(Sr(OH)₂) = 0.0371 L; volume of the strontium hydroxide solution.

c(Sr(OH)₂) = 0.138 M; molarity of the strontium hydroxide solution.

n(Sr(OH)₂) = c(Sr(OH)₂) · V(Sr(OH)₂).

n(Sr(OH)₂) = 0.0371 L · 0.138 mol/L.

n(Sr(OH)₂) = 0.0051 mol; amount of the strontium hydroxide.

From balanced chemical reaction: n(Sr(OH)₂) : n(HCl) = 1 : 2.

n(HCl) = 2 · n(Sr(OH)₂).

n(HCl) = 2 · 0.0051 mol.

n(HCl) = 0.0102 mol; amount of the hydrochloric acid.

Final answer:

The question involves stoichiometry in a chemical reaction between hydrochloric acid (HCl) and strontium hydroxide (Sr(OH)2). The provided volume and molarity of Sr(OH)2 allow us to calculate the needed moles of HCl, which revolves around a 2:1 stoichiometric ratio. Therefore, to react with 37.1 mL of 0.138 M Sr(OH)2, we need 0.0102 moles of HCl.

Explanation:

The subject matter involves a chemical reaction between hydrochloric acid (HCl) and strontium hydroxide (Sr(OH)2). First, we need to identify the stoichiometric ratio between HCl and Sr(OH)2. The chemical equation for their reaction is 2HCl + Sr(OH)2 → SrCl2 + 2H2O, indicating a 2:1 ratio between HCl and Sr(OH)2.

Next, calculate the moles of Sr(OH)2 using the given volume and molarity: 37.1 mL Sr(OH)2 * (1 L/1000 mL) * 0.138 mol/L = 0.0051 mol of Sr(OH)2. Since the ratio of HCl to Sr(OH)2 is 2:1, this means we would need 2 * 0.0051 = 0.0102 moles of HCl for the reaction.

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