   Chapter 1, Problem 54RGQ

Chapter
Section
Textbook Problem

Suppose your bedroom is 18 ft long and 15 ft wide, and the distance from floor to ceiling is 8 ft 6 in. You need to know the volume of the room in metric units for some scientific calculations.(a) What is the room's volume in cubic meters? In liters?(b) What is the mass of air in the room in kilograms? In pounds? (Assume the density of air is 1.2 g/L and that the room is empty of furniture.)

(a)

Interpretation Introduction

Interpretation: The volume of the room in cubic meters and liters has to be given.

Concept Introduction:

Density: is a characteristic property of a substance.  The density of a substance is the relationship between the mass of the substance and how much space it takes up (volume).

Density = MassVolume

Explanation

The volume of the room in cubic meters and litres is given,

Calculate the volume of room:_Volume of a room is l×h×w  Given: length = 18ft = 5.4864m ,            wide = 15 ft = 4.572 m,            height = 8 ft 6 in = 2.5904 mVolume  = 5.49 m ×4.6 m ×2.59 m = 65.41m3Conversion of units:_Given: Volume = 65

(b)

Interpretation Introduction

Interpretation: The volume of the room in cubic meters and liters has to be given.

Concept Introduction:

Density: is a characteristic property of a substance.  The density of a substance is the relationship between the mass of the substance and how much space it takes up (volume).

Density = MassVolume

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