Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Problem 49

A waterbed filled with water has the dimensions \(8.0 \mathrm{ft} \times 7.0 \mathrm{ft} \times\) \(0.75 \mathrm{ft}\). Taking the density of water to be \(1.00 \mathrm{~g} / \mathrm{cm}^{3}\), how many kilograms of water are required to fill the waterbed?

Short Answer

Expert verified
Answer: Approximately 1,194.77 kg.

Step by step solution

01

Convert dimensions to centimeters

Since the dimensions of the waterbed are given in feet, we must first convert them to centimeters, since the density of water is given in grams per cubic centimeter. 1 foot = 30.48 centimeters. So, the dimensions in centimeters are: 8.0 ft × 30.48 cm/ft = 243.84 cm 7.0 ft × 30.48 cm/ft = 213.36 cm 0.75 ft × 30.48 cm/ft = 22.86 cm
02

Calculate the volume of the waterbed

Now, let's calculate the volume of the waterbed by multiplying its length, width, and height. Volume = length × width × height = 243.84 cm × 213.36 cm × 22.86 cm
03

Find the weight of the water

Now we can find the weight of the water needed to fill the waterbed using the given density of water (1.00 g/cm³). Weight = Volume × Density = 243.84 cm × 213.36 cm × 22.86 cm × 1.00 g/cm³
04

Convert weight to kilograms

Finally, we need to convert the weight of the water from grams to kilograms. 1 kilogram = 1000 grams Weight in kilograms = Weight in grams / 1000 g/kg Now, let's perform the calculations: Volume = 243.84 cm × 213.36 cm × 22.86 cm = 1,194,772.97 cm³ (approximately) Weight = 1,194,772.97 cm³ × 1.00 g/cm³ = 1,194,772.97 g Weight in kilograms = 1,194,772.97 g / 1000 g/kg = 1,194.77 kg (approximately) So, approximately 1,194.77 kilograms of water are required to fill the waterbed.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Vinegar contains \(5.00 \%\) acetic acid by mass and has a density of \(1.01 \mathrm{~g} / \mathrm{mL}\). What mass (in grams) of acetic acid is present in \(5.00 \mathrm{~L}\) of vinegar?

Potassium chloride is widely used in the manufacture of fertilizers. Its solubility is \(37.0 \mathrm{~g} / 100 \mathrm{~g}\) water at \(30^{\circ} \mathrm{C}\). At \(70^{\circ} \mathrm{C}\) its solubility is \(48.3 \mathrm{~g} / 100 \mathrm{~g}\) water. (a) Calculate the mass of potassium chloride that dissolves in \(44.5 \mathrm{~g}\) of water at \(30^{\circ} \mathrm{C}\). (b) Calculate the mass of water required to dissolve \(39.6 \mathrm{~g}\) of potassium chloride at \(70^{\circ} \mathrm{C}\). (c) If \(40.0 \mathrm{~g}\) of potassium chloride are added to \(75.0 \mathrm{~g}\) of water at \(30^{\circ} \mathrm{C}\), will it all dissolve? If the temperature is increased to \(70^{\circ} \mathrm{C}\), will it all dissolve? How many grams (if any) are undissolved at \(30^{\circ} \mathrm{C} ?\) at \(70^{\circ} \mathrm{C} ?\)

A metal slug weighing \(25.17 \mathrm{~g}\) is added to a flask with a volume of \(59.7 \mathrm{~mL}\). It is found that \(43.7 \mathrm{~g}\) of methanol \((d=0.791 \mathrm{~g} / \mathrm{mL})\) must be added to the metal to fill the flask. What is the density of the metal?

The height of a horse is usually measured in hands. One hand is exactly \(1 / 3 \mathrm{ft}\) (a) How tall (in feet) is a horse of \(19.2\) hands? (b) How tall (in meters) is a horse of \(17.8\) hands? (c) A horse of \(20.5\) hands is to be transported in a trailer. The roof of the trailer needs to provide \(3.0 \mathrm{ft}\) of vertical clearance. What is the minimum height of the trailer in feet?

A listing of a house for sale states that there are 5 bedrooms, \(4000 \mathrm{ft}^{2}\) of living area, and a living room with dimensions \(17 \times 18.5 \mathrm{ft}\). How many significant figures are there in each quantity? (Your answer may include the words ambiguous and exact.)
See all solutions

Recommended explanations on Chemistry Textbooks

Chemical Reactions

Read Explanation

Physical Chemistry

Read Explanation

Kinetics

Read Explanation

Chemical Analysis

Read Explanation

The Earths Atmosphere

Read Explanation

Chemistry Branches

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free