Ch.2 Chemistry and Measurements

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.2 Chemistry and Measurements

문제 74b

2장, 문제 74b

Use the density values in TABLE 2.8 to solve each of the following problems:

a. A graduated cylinder contains 18.0 mL of water. What is the new water level, in milliliters, after 35.6 g of silver metal is submerged in the water?

검증된 단계별 안내

Identify the relationship between mass, volume, and density using the formula:

d = \frac{m}{V}

, where

d

is density,

m

is mass, and

V

is volume.

Rearrange the formula to solve for volume:

V = \frac{m}{d}

Look up the density of silver in TABLE 2.8. For example, if the density of silver is given as 10.5 g/mL, substitute

m = 35.6

g and

d = 10.5

g/mL into the formula to calculate the volume of silver displaced.

Add the calculated volume of silver to the initial water volume in the graduated cylinder (18.0 mL) to determine the new water level.

Express the final water level in milliliters, ensuring the correct number of significant figures based on the given data.

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주요 개념

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

Density

Density is defined as mass per unit volume, typically expressed in grams per milliliter (g/mL) for liquids and solids. It is a crucial property that helps determine how much mass of a substance will occupy a certain volume. In this problem, the density of silver will be used to calculate the volume it occupies when submerged in water.

Volume Displacement

Volume displacement refers to the principle that when an object is submerged in a fluid, it displaces an amount of fluid equal to the volume of the object. This concept is essential for understanding how the addition of silver to the graduated cylinder will affect the water level, as the volume of silver will increase the water level by the volume it displaces.

Graduated Cylinder

A graduated cylinder is a common laboratory instrument used to measure the volume of liquids accurately. It is marked with measurement lines to indicate volume levels. In this problem, the graduated cylinder's initial water level and the final water level after adding silver will be compared to determine the change in volume due to the submerged metal.

Use the density values in TABLE 2.8 to solve each of the following problems:a. A graduated cylinder contains 18.0 mL of water. What is the new water level, in milliliters, after 35.6 g of silver metal is submerged in the water?