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Chapter 2: Problem 39

Write two conversion factors (two different ratios) to express the fact that there are \(24 \mathrm{~h}\) in a day.

Short Answer

Expert verified
The two conversion factors to express 24 hours in a day are: 1) \(\frac{24 \text{ hours}}{1 \text{ day}}\) 2) \(\frac{1 \text{ day}}{24 \text{ hours}}\)

Step by step solution

01

Conversion Factor 1: Hours to Days

To convert from hours to days, we can write a ratio that includes 24 hours (the number of hours in a day) and the corresponding value for days, which is 1 day. Therefore, the first conversion factor is: \[\frac{24 \text{ hours}}{1 \text{ day}}\]
02

Conversion Factor 2: Days to Hours

To convert from days to hours, let's create another ratio, this time with 1 day in the numerator and the corresponding value for hours (24 hours) in the denominator. The second conversion factor is: \[\frac{1 \text{ day}}{24 \text{ hours}}\] These two conversion factors can be used to convert between hours and days in various problems, depending on the unit required by the solution.

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Most popular questions from this chapter

Which one of the following expresses the measured value \(1230.0 \mathrm{~m}\) with the correct number of significant figures and appropriate Greek prefix? (a) \(1.23 \mathrm{~km}\) (b) \(1.230 \mathrm{~cm}\) (c) \(1.2300 \mathrm{~km}\) (d) \(1.2300 \mathrm{~mm}\) (e) \(12.3 \mathrm{~km}\)

Solve each equation for the underlined quantity: (a) \({ }^{\circ} \mathrm{F}=9 / 5^{\circ} \mathrm{C}+32\) (b) \(P V=n R T\) (c) \(E=h c / \underline{\lambda}\)

The SI unit of speed is meters per second. In the United States, speed is often expressed in miles per hour. If a car is traveling \(60.0\) miles \(/ \mathrm{h}\), what is its speed in meters per second? \([1\) mile \(=1.61 \mathrm{~km}]\)

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You measure one edge of a cube using a meterstick marked in centimeters. Unfortunately, the edge is longer than \(1 \mathrm{~m}\). You mark the \(1-\mathrm{m}\) point on the cube edge with a pen and then, using a \(15-\mathrm{cm}\) ruler marked in millimeters, measure the remaining distance to be \(1.40 \mathrm{~cm}\). (a) What is the length of the edge in centimeters? (b) What is the volume of the cube in cubic centimeters? (Remember, the lengths of all edges of a cube are equal.) Watch your significant figures. Use scientific notation if you have to. (c) The cube has a mass of \(111 \mathrm{~kg} .\) What is its density in grams per milliliter? Watch your significant figures.
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