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Chapter 1: Problem 31

Carry out these conversions: (a) \(22.6 \mathrm{~m}\) to decimeters, (b) 25.4 mg to kilograms.

Short Answer

Expert verified
The conversions are: (a) \(22.6 \mathrm{~m}\) = 226 decimeters, and (b) \(25.4 \mathrm{~mg}\) = 0.0000254 kilograms.

Step by step solution

01

Convert meters to decimeters

To convert meters to decimeters, the conversion factor used is 1 meter = 10 decimeters. The conversion is therefore performed by multiplying the quantity in meters \(22.6 \mathrm{~m}\) by 10.
02

Convert milligrams to kilograms

To convert milligrams to kilograms, the conversion factor used is 1 kilogram = 1,000,000 milligrams. The conversion is hence performed by dividing the quantity in milligrams \(25.4 \mathrm{~mg}\) by 1,000,000.

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Most popular questions from this chapter

Tums is a popular remedy for acid indigestion. A typical Tums tablet contains calcium carbonate plus some inert substances. When ingested, it reacts with the gastric juice (hydrochloric acid) in the stomach to give off carbon dioxide gas. When a 1.328 -g tablet reacted with \(40.00 \mathrm{~mL}\) of hydrochloric acid (density: \(1.140 \mathrm{~g} / \mathrm{mL}\) ), carbon dioxide gas was given off and the resulting solution weighed 46.699 g. Calculate the number of liters of carbon dioxide gas released if its density is \(1.81 \mathrm{~g} / \mathrm{L}\).

Fluoridation is the process of adding fluorine compounds to drinking water to help fight tooth decay. A concentration of 1 ppm of fluorine is sufficient for the purpose. (1 ppm means \(1 \mathrm{~g}\) of fluorine per 1 million g of water.) The compound normally chosen for fluoridation is sodium fluoride, which is also added to some toothpastes. Calculate the quantity of sodium fluoride in kilograms needed per year for a city of 50,000 people if the daily consumption of water per person is 150 gallons. What percent of the sodium fluoride is "wasted" if each person uses only \(6.0 \mathrm{~L}\) of water a day for drinking and cooking? (Sodium fluoride is 45.0 percent fluorine by mass. 1 gallon \(=3.79 \mathrm{~L} ; 1\) year \(=365\) days; density of water \(=1.0 \mathrm{~g} / \mathrm{mL} .)\)

You are given a liquid. Briefly describe steps you would take to show whether it is a pure substance or a homogeneous mixture.

A slow jogger runs a mile in \(13 \mathrm{~min} .\) Calculate the speed in (a) in/s, (b) \(\mathrm{m} / \mathrm{min}\), (c) \(\mathrm{km} / \mathrm{h} .(1 \mathrm{mi}=1609 \mathrm{~m}\) \(1 \mathrm{in}=2.54 \mathrm{~cm} .)\)

The price of gold on a certain day in 2004 was \(\$ 315\) per troy ounce. How much did \(1.00 \mathrm{~g}\) of gold cost that day? \((1\) troy ounce \(=31.03 \mathrm{~g} .)\)
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