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Chapter 1: Problem 6

Identify each of the following as measurements of length, area, volume, mass, density, time, or temperature: (a) \(25 \mathrm{ps}\), (b) \(374.2 \mathrm{mg}\) (c) \(77 \mathrm{~K}\) (d) \(100,000 \mathrm{~km}^{2}\) (e) \(1.06 \mu \mathrm{m}\) (f) \(16 \mathrm{nm}^{2},(\mathrm{~g})-78^{\circ} \mathrm{C}\) (h) \(2.56 \mathrm{~g} / \mathrm{cm}^{3}\) (i) \(28 \mathrm{~cm}^{3}\). [Section \(\left.1.5\right]\)

Short Answer

Expert verified
(a) Time measurement: \(25 \mathrm{ps}\) (b) Mass measurement: \(374.2 \mathrm{mg}\) (c) Temperature measurement: \(77 \mathrm{~K}\) (d) Area measurement: \(100,000 \mathrm{~km}^{2}\) (e) Length measurement: \(1.06 \mu \mathrm{m}\) (f) Area measurement: \(16 \mathrm{nm}^{2}\) (g) Temperature measurement: \(-78^{\circ} \mathrm{C}\) (h) Density measurement: \(2.56 \mathrm{~g} / \mathrm{cm}^{3}\) (i) Volume measurement: \(28 \mathrm{~cm}^{3}\)

Step by step solution

01

a) 25 ps

This quantity has the unit "ps" which stands for picoseconds. A second is a unit of time, so this measurement is classified as a time measurement.
02

b) 374.2 mg

This quantity has the unit "mg" which stands for milligrams. A gram is a unit of mass, so this measurement is classified as a mass measurement.
03

c) 77 K

This quantity has the unit "K" which stands for kelvins. Kelvin is a unit of temperature, so this measurement is classified as a temperature measurement.
04

d) 100,000 km²

This quantity has the unit "km²" which stands for square kilometers. Square kilometers is a unit of area, so this measurement is classified as an area measurement.
05

e) 1.06 µm

This quantity has the unit "µm" which stands for micrometers. A meter is a unit of length, so this measurement is classified as a length measurement.
06

f) 16 nm²

This quantity has the unit "nm²" which stands for square nanometers. Square nanometers is a unit of area, so this measurement is classified as an area measurement.
07

g) -78°C

This quantity has the unit "°C" which stands for degrees Celsius. Celsius is a unit of temperature, so this measurement is classified as a temperature measurement.
08

h) 2.56 g/cm³

This quantity has the unit "g/cm³" which stands for grams per cubic centimeter. Grams per cubic centimeter is a unit of density, so this measurement is classified as a density measurement.
09

i) 28 cm³

This quantity has the unit "cm³" which stands for cubic centimeters. Cubic centimeters is a unit of volume, so this measurement is classified as a volume measurement.

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