Skip to main content
Ch.18 - Aqueous Ionic Equilibrium
Tro - Chemistry: A Molecular Approach 5th Edition
Tro5th EditionChemistry: A Molecular ApproachISBN: 9780134874371당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Tro 5th EditionCh.18 - Aqueous Ionic Equilibrium문제 127
18장, 문제 127

Pseudogout, a condition with symptoms similar to those of gout (see Problem 126), is caused by the formation of calcium diphosphate (Ca2P2O7) crystals within tendons, cartilage, and ligaments. Calcium diphosphate will precipitate out of blood plasma when diphosphate levels become abnormally high. If the calcium concentration in blood plasma is 9.2 mg/dL, and Ksp for calcium diphosphate is 8.64⨉10-13, what minimum concentration of diphosphate results in precipitation?

검증된 단계별 안내
1
Convert the concentration of calcium from mg/dL to moles per liter (M). Use the molar mass of calcium (40.08 g/mol) to perform this conversion.
Write the solubility product expression (Ksp) for calcium diphosphate, which is Ca2P2O7. The formula indicates that for every 1 formula unit that dissolves, 2 Ca^2+ ions and 1 P2O7^4- ion are produced. Thus, Ksp = [Ca^2+]^2[P2O7^4-].
Substitute the converted concentration of calcium into the Ksp expression. Since the stoichiometry of calcium in calcium diphosphate is 2:1, the concentration of Ca^2+ in the solution will be twice the concentration of Ca2P2O7 that dissolves.
Solve the Ksp expression for the concentration of P2O7^4- (diphosphate ion). Rearrange the expression to isolate [P2O7^4-] on one side of the equation.
The result from the previous step gives the minimum concentration of diphosphate required in the blood plasma for calcium diphosphate to begin precipitating.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
3m
도움이 되었나요?

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Solubility Product Constant (Ksp)

The solubility product constant (Ksp) is a numerical value that represents the equilibrium between a solid and its ions in a saturated solution. It is specific to a particular compound at a given temperature and is used to predict whether a precipitate will form in a solution. For calcium diphosphate, Ksp indicates the maximum product of the concentrations of its ions (Ca²⁺ and P₂O₇²⁻) that can exist in solution before precipitation occurs.
추천 영상:
가이드 코스
01:47
Solubility Product Constant

Precipitation Reaction

A precipitation reaction occurs when two soluble salts react in solution to form an insoluble solid, known as a precipitate. This process is driven by the formation of a compound that is less soluble than its constituent ions in the solution. In the case of pseudogout, the precipitation of calcium diphosphate crystals occurs when the concentrations of calcium ions and diphosphate ions exceed the Ksp value, leading to the formation of solid crystals.
추천 영상:
가이드 코스
01:53
Selective Precipitation

Ion Concentration and Equilibrium

Ion concentration refers to the amount of a specific ion present in a solution, which can influence the solubility and precipitation of compounds. In equilibrium reactions, the concentrations of reactants and products remain constant over time. To determine the minimum concentration of diphosphate required for precipitation of calcium diphosphate, one must apply the Ksp expression, which relates the concentrations of calcium ions and diphosphate ions at equilibrium.
추천 영상:
가이드 코스
06:25
Hydronium Ion Concentration Example
관련 실천
교과서 질문

Calculate the solubility of CuX in a solution that is 0.150 M in NaCN. Ksp for CuX is 1.27⨉10-36.

625
views
교과서 질문

Calculate the solubility of silver chloride in a solution that is 0.100 M in NH3.

966
views