Does a precipitate form if you mix 175.0 mL if a 0.0055 M KCl aqueous solution with 145.0 mL of 0.0015 M aqueous AgNO3 solution? Ksp = 1.77 10–10 for AgCl.

Question

Does a precipitate form if you mix 175.0 mL if a 0.0055 M KCl aqueous solution with 145.0 mL of 0.0015 M aqueous AgNO3 solution?  Ksp = 1.77  10–10 for AgCl.

BlackTom AI · Accepted Answer

To tackle this precipitation question, I’ll start by identifying the reacting species and the stoichiometry involved.

- The relevant reaction is Ag+ + Cl− → AgCl(s).
- We have 175.0 mL of 0.0055 M KCl, giving moles Cl− = 0.1750 L × 0.0055 mol/L = 0.0009625 mol.
- We have 145.0 mL of 0.0015 M AgNO3, giving moles Ag+ = 0.1450 L × 0.0015 mol/L = 0.0002175 mol.
- Upon mixing, the total volume becomes 175.0 mL + 145.0 mL = 320.0 mL = 0.320 L.

Next, assess whether precipitation occurs by comparing the ion product with the solubility product.

- Initial concentrations after mixing (before any precipitation) would be:
  [Ag+]0 = 0.0002175 mol / 0.320 L ≈ 6.80×10^−4 M
  [Cl−]0 = 0.0009625 mol / 0.320 L ≈ 3.01×10^−3 M
- The reaction quotient (ion product) is Q = [Ag+][Cl−] ≈ (6.80×10^−4)(3.01×10^−3) ≈ 2.05×10^−6.

Compare Q to Ksp for AgCl, which is Ksp = 1.77×10^−10. Since Q ≈ 2.05×10^−6 is much larger than Ksp, the solution is supersaturated with respect to AgCl. This means solid AgCl will begin to form to reduce the product [Ag+][Cl−] down to the level dictated by Ksp.

When precipitation occurs, Ag+ is the limiting ion (it is the smaller initial amount in moles), so most, if not all, Ag+ will precipitate as AgCl until the ionic concentrations satisfy [Ag+][Cl−] = Ksp. After precipitation, there will be substantially less Ag+ in solution, and the remaining Cl− will be higher than in the initial mixture, but still above the threshold needed to maintain Ksp at equilibrium depending on the exact solid–solution balance.

In summary, because the initial ion product greatly exceeds Ksp, precipitation occurs; the correct conclusion is that a precipitate forms.

Chem 1C General Chemis... Self Assessment Quiz 19

Does a precipitate form if you mix 175.0 mL if a 0.0055 M KCl aqueous solution with 145.0 mL of 0.0015 M aqueous AgNO3 solution? Ksp = 1.77 10–10 for AgCl.

查看解析

登录即可查看完整答案

类似问题

Which statement is incorrect?

Which silver salt has the highest molar solubility in water?

The equilibrium constant expression for the reaction shown below is Ag3PO4(s) ⇔ 3 Ag+(aq) + PO43− (aq)

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单