Identify each of the following as measurements of length, area, volume, mass, density, time, or temperature: (a) \(25 \mathrm{ps}\), (c) \(77 \mathrm{~K},(\mathbf{d}) 100,000 \mathrm{~km}^{2},\) (b) \(374.2 \mathrm{mg}\) (e) \(1.06 \mu \mathrm{m},(\mathrm{f}) 16 \mathrm{nm}^{2}\) \((g)-78^{\circ} \mathrm{C}\) (h) \(2.56 \mathrm{~g} / \mathrm{cm}^{3}\), (i) \(28 \mathrm{~cm}^{3}\). [Section 1.4].

Short Answer

Expert verified
(a) 25 ps: This is a measurement of time. \(ps\) stands for picoseconds, which are one trillionth (10^-12) of a second. (c) 77 K: This is a measurement of temperature. \(K\) stands for Kelvin, which is a unit for temperature in the International System of Units (SI). (d) 100,000 km^2: This is a measurement of area. \(km^2\) stands for square kilometers, which is a unit for area. (b) 374.2 mg: This is a measurement of mass. \(mg\) stands for milligrams, which are one-thousandth (10^-3) of a gram. (e) 1.06 µm: This is a measurement of length. \(µm\) stands for micrometers, which are one-millionth (10^-6) of a meter. (f) 16 nm^2: This is a measurement of area. \(nm^2\) stands for square nanometers, which is a unit for area and is equal to one-billionth (10^-18) of a square meter. (g) -78°C: This is a measurement of temperature. \(°C\) stands for degrees Celsius, which is a unit for temperature. (h) 2.56 g/cm³: This is a measurement of density. \(g/cm³\) stands for grams per cubic centimeter, which is a unit for density in the CGS system. (i) 28 cm³: This is a measurement of volume. \(cm³\) stands for cubic centimeters, which is a unit for volume in the CGS system.

Step by step solution

01

(a) 25 ps

This is a measurement of time. "ps" stands for picoseconds, which are one trillionth (10^-12) of a second.
02

(c) 77 K

This is a measurement of temperature. "K" stands for Kelvin, which is a unit for temperature in the International System of Units (SI).
03

(d) 100,000 km^2

This is a measurement of area. "km^2" stands for square kilometers, which is a unit for area.
04

(b) 374.2 mg

This is a measurement of mass. "mg" stands for milligrams, which are one-thousandth (10^-3) of a gram.
05

(e) 1.06 µm

This is a measurement of length. "µm" stands for micrometers, which are one-millionth (10^-6) of a meter.
06

(f) 16 nm^2

This is a measurement of area. "nm^2" stands for square nanometers, which is a unit for area and is equal to one-billionth (10^-18) of a square meter.
07

(g) -78°C

This is a measurement of temperature. "°C" stands for degrees Celsius, which is a unit for temperature.
08

(h) 2.56 g/cm³

This is a measurement of density. "g/cm³" stands for grams per cubic centimeter, which is a unit for density in the CGS system.
09

(i) 28 cm³

This is a measurement of volume. "cm³" stands for cubic centimeters, which is a unit for volume in the CGS system.

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