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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Brown 14th EditionCh.1 - Introduction: Matter, Energy, and Measurement문제 61
1장, 문제 61

The density of air at ordinary atmospheric pressure and 25 C is 1.19 g/L. What is the mass, in kilograms, of the air in a room that measures 4.5 m * 5.0 m * 2.5 m?

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1
Calculate the volume of the room by multiplying its dimensions: Volume = 4.5 \(\text{ m}\) \(\times\) 5.0 \(\text{ m}\) \(\times\) 2.5 \(\text{ m}\).
Convert the volume from cubic meters to liters, knowing that 1 \(\text{ m}\)^3 = 1000 \(\text{ L}\).
Use the density formula \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \) to find the mass of the air, rearranging it to \( \text{Mass} = \text{Density} \times \text{Volume} \).
Substitute the given density of air (1.19 \(\text{ g/L}\)) and the calculated volume in liters into the mass formula.
Convert the mass from grams to kilograms by dividing by 1000, since 1 \(\text{ kg}\) = 1000 \(\text{ g}\).

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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 liter (g/L) for gases. It indicates how much mass is contained in a given volume of a substance. In this question, the density of air is provided, which allows us to calculate the mass of air in a specified volume by rearranging the density formula: mass = density × volume.
추천 영상:
가이드 코스
01:56
Density Concepts

Volume Calculation

Volume is the amount of space occupied by an object, measured in cubic units. For a rectangular room, the volume can be calculated using the formula: Volume = length × width × height. In this case, the dimensions of the room are given in meters, and the volume must be converted to liters to match the density units for accurate mass calculation.
추천 영상:
가이드 코스
02:35
Constant-Volume Calorimetry

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this problem, it is necessary to convert the volume of the room from cubic meters to liters, as the density of air is given in grams per liter. Understanding how to perform these conversions is essential for ensuring that calculations are accurate and consistent.
추천 영상:
가이드 코스
01:56
Conversion Factors
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