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Chapter 2: Problem 38

Which of the following can be thought of as conversion factors? (a) \(49.3 \mathrm{~kg}\) (b) \(4.184 \mathrm{j} /{ }^{\circ} \mathrm{C}\) (c) 350 miles \(/ \mathrm{h}\) (d) 12 eggs per dozen (c) 1 dozen grams

Short Answer

Expert verified
Options (b) \(4.184 \mathrm{J}/^{\circ}\mathrm{C}\) and (d) 12 eggs per dozen are conversion factors, as they have a ratio between two different units that can be used to convert from one unit of measurement to another.

Step by step solution

01

Option (a) 49.3 kg

49.3 kg is an amount of mass in kilograms, not a conversion factor because it does not have a ratio between two different units.
02

Option (b) 4.184 J/\(^\circ\)C

This is a conversion factor for the specific heat capacity of water. It tells us how much energy is needed to raise the temperature of water by 1 degree Celsius. It has a ratio between two different units, Joules and degrees Celsius, so this can be considered as a conversion factor.
03

Option (c) 350 miles/h

350 miles/h is a measurement of speed, not a conversion factor. There isn't a ratio between two different units here, it only tells us the distance traveled in a certain amount of time.
04

Option (d) 12 eggs per dozen

This option is a conversion factor since it relates two different units: eggs and dozens. It tells us how many eggs make up a dozen, which is useful to convert between these units.
05

Option (e) 1 dozen grams

This option is not a conversion factor because it does not have a ratio between two different units, it's just a quantity of grams (incorrectly) labelled as "dozen". In conclusion, options (b) and (d) can be considered as conversion factors.

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Most popular questions from this chapter

A physician has ordered \(325 \mathrm{mg}\) of atropine to be given to a patient intramuscularly. If atropine were available as a solution that contained \(5000 \mu\) \(\mathrm{g} / \mathrm{mL}\), how many milliliters would you need to give the patient?

How many joules of heat energy would it take to raise the temperature of \(2.00\) pounds of iron from \(30.0^{\circ} \mathrm{C}\) to \(90.0^{\circ} \mathrm{C} ?[453.6 \mathrm{~g}=1\) pound \(]\)

Explain how determining the number of significant figures allowed in an answer when measured values are multiplied or divided is different from determining the number of significant figures allowed in an answer when measured values are added or subtracted.

A train traveling at \(45.0\) miles \(/ \mathrm{h}\) has to make a trip of \(100.0\) miles. How many minutes will the trip take? Use unit analysis to calculate your answer, and show your work.

The density of water at \(4.00^{\circ} \mathrm{C}\) is \(1.00 \mathrm{~g} / \mathrm{mL}\). The density of ice at \(0{ }^{\circ} \mathrm{C}\) is \(0.917 \mathrm{~g} / \mathrm{mL}\). Water is different from most other substances in that the solid phase (ice) is less dense than the liquid phase. Explain why this characteristic makes ice fishing possible.
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