Ch.9 Solutions

Timberlake - Chemistry: An Introduction to General, Organic, and Biological Chemistry 14th Edition

Timberlake14th EditionChemistry: An Introduction to General, Organic, and Biological ChemistryISBN: 9781292472249당신이 사용하는 게 아니라요?교과서 변경

Timberlake 14th Edition

Ch.9 Solutions

문제 57b

9장, 문제 57b

Determine the final volume, in milliliters, of each of the following:
b. a 2.0% (m/v) LiCl solution prepared from 50.0 mL of a 10.0% (m/v) LiCl solution

검증된 단계별 안내

Step 1: Understand the problem. You are tasked with determining the final volume of a 2.0% (m/v) LiCl solution that is prepared by diluting a 10.0% (m/v) LiCl solution. This is a dilution problem, and the relationship between the initial and final concentrations and volumes can be expressed using the dilution equation:

C i V i = C f V f

, where

C i

and

V i

are the initial concentration and volume, and

C f

and

V f

are the final concentration and volume.

Step 2: Write down the known values. From the problem, the initial concentration

C i

is 10.0% (m/v), the initial volume

V i

is 50.0 mL, and the final concentration

C f

is 2.0% (m/v). The final volume

V f

is what we need to calculate.

Step 3: Rearrange the dilution equation to solve for the final volume

V f

. The equation becomes:

V f = \frac{C i V i}{C}

Step 4: Substitute the known values into the rearranged equation. Replace

C i

with 10.0%,

V i

with 50.0 mL, and

C f

with 2.0%. The equation becomes:

V f = \frac{10.0 \times 50.0}{2.0}

Step 5: Perform the calculation to find the final volume

V f

. Ensure that the units are consistent and the result is expressed in milliliters (mL).

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

주요 개념

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

Mass/Volume Percent (m/v)

Mass/volume percent (m/v) is a concentration unit that expresses the mass of solute in grams per 100 mL of solution. For example, a 2.0% (m/v) solution of LiCl means there are 2 grams of LiCl in every 100 mL of the solution. Understanding this concept is crucial for calculating the final volume of a solution when diluting or mixing different concentrations.

Dilution Principle

The dilution principle states that when a solution is diluted, the amount of solute remains constant, while the volume of the solution increases. This can be mathematically represented by the equation C1V1 = C2V2, where C is concentration and V is volume. This principle is essential for determining the final volume of a solution after mixing or diluting a more concentrated solution.

Concentration Calculation

Concentration calculation involves determining the amount of solute in a given volume of solution. In this context, it requires calculating the amount of LiCl in the initial 50.0 mL of a 10.0% solution and then using that amount to find the final volume needed to achieve a 2.0% concentration. This calculation is fundamental for preparing solutions with desired concentrations in laboratory settings.

Determine the final volume, in milliliters, of each of the following: b. a 2.0% (m/v) LiCl solution prepared from 50.0 mL of a 10.0% (m/v) LiCl solution