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Ch.1 - Chemical Tools: Experimentation & Measurement
McMurry - Chemistry 8th Edition
McMurry8th EditionChemistryISBN: 9781292336145당신이 사용하는 게 아니라요?교과서 변경
모든 교과서McMurry 8th EditionCh.1 - Chemical Tools: Experimentation & Measurement문제 117
1장, 문제 117

Brass is a copper–zinc alloy. What is the mass in grams of a brass cylinder having a length of 1.62 in. and a diameter of 0.514 in. if the composition of the brass is 67.0% copper and 33.0% zinc by mass? The density of copper is 8.92 g/cm3, and the density of zinc is 7.14 g/cm3. Assume that the den-sity of the brass varies linearly with composition.

검증된 단계별 안내
1
Convert the dimensions of the brass cylinder from inches to centimeters using the conversion factor 1 inch = 2.54 cm.
Calculate the volume of the cylinder using the formula for the volume of a cylinder: \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height.
Determine the density of the brass using the linear relationship between the densities of copper and zinc: \( \text{Density of brass} = (0.67 \times \text{Density of copper}) + (0.33 \times \text{Density of zinc}) \).
Calculate the mass of the brass cylinder using the formula: \( \text{Mass} = \text{Density} \times \text{Volume} \).
Ensure all units are consistent and check calculations for accuracy.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
4m

주요 개념

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

Density and Composition

Density is defined as mass per unit volume and varies with the composition of a material. In the case of brass, which is an alloy of copper and zinc, the density can be calculated based on the mass percentages of each metal. The linear variation of density with composition means that the overall density of brass can be determined by a weighted average of the densities of copper and zinc, reflecting their respective proportions in the alloy.
추천 영상:
가이드 코스
01:56
Density Concepts

Volume of a Cylinder

The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height (or length) of the cylinder. In this problem, the diameter is given, so the radius can be found by dividing the diameter by two. This volume will be essential for determining the mass of the brass cylinder when combined with its density.
추천 영상:
가이드 코스
02:35
Constant-Volume Calorimetry

Mass Calculation

Mass can be calculated using the formula m = ρV, where m is mass, ρ is density, and V is volume. Once the volume of the brass cylinder is determined, the density of the brass, derived from the composition of copper and zinc, can be used to find the mass. This relationship is crucial for solving the problem and understanding how the properties of the materials affect the overall mass of the alloy.
추천 영상:
가이드 코스
03:12
Molar Mass Calculation Example
관련 실천
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