# 1.4 Measurements  (Page 3/19)

 Page 3 / 19

## Time

The SI base unit of time is the second (s)    . Small and large time intervals can be expressed with the appropriate prefixes; for example, 3 microseconds = 0.000003 s = 3 $×$ 10 −6 and 5 megaseconds = 5,000,000 s = 5 $×$ 10 6 s. Alternatively, hours, days, and years can be used.

## Derived si units

We can derive many units from the seven SI base units. For example, we can use the base unit of length to define a unit of volume, and the base units of mass and length to define a unit of density.

## Volume

Volume is the measure of the amount of space occupied by an object. The standard SI unit of volume is defined by the base unit of length ( [link] ). The standard volume is a cubic meter (m 3 )    , a cube with an edge length of exactly one meter. To dispense a cubic meter of water, we could build a cubic box with edge lengths of exactly one meter. This box would hold a cubic meter of water or any other substance.

A more commonly used unit of volume is derived from the decimeter (0.1 m, or 10 cm). A cube with edge lengths of exactly one decimeter contains a volume of one cubic decimeter (dm 3 ). A liter (L)    is the more common name for the cubic decimeter. One liter is about 1.06 quarts.

A cubic centimeter (cm 3 ) is the volume of a cube with an edge length of exactly one centimeter. The abbreviation cc (for c ubic c entimeter) is often used by health professionals. A cubic centimeter is also called a milliliter (mL)    and is 1/1000 of a liter.

## Density

We use the mass and volume of a substance to determine its density. Thus, the units of density are defined by the base units of mass and length.

The density    of a substance is the ratio of the mass of a sample of the substance to its volume. The SI unit for density is the kilogram per cubic meter (kg/m 3 ). For many situations, however, this as an inconvenient unit, and we often use grams per cubic centimeter (g/cm 3 ) for the densities of solids and liquids, and grams per liter (g/L) for gases. Although there are exceptions, most liquids and solids have densities that range from about 0.7 g/cm 3 (the density of gasoline) to 19 g/cm 3 (the density of gold). The density of air is about 1.2 g/L. [link] shows the densities of some common substances.

Densities of Common Substances
Solids Liquids Gases (at 25 °C and 1 atm)
ice (at 0 °C) 0.92 g/cm 3 water 1.0 g/cm 3 dry air 1.20 g/L
oak (wood) 0.60–0.90 g/cm 3 ethanol 0.79 g/cm 3 oxygen 1.31 g/L
iron 7.9 g/cm 3 acetone 0.79 g/cm 3 nitrogen 1.14 g/L
copper 9.0 g/cm 3 glycerin 1.26 g/cm 3 carbon dioxide 1.80 g/L
lead 11.3 g/cm 3 olive oil 0.92 g/cm 3 helium 0.16 g/L
silver 10.5 g/cm 3 gasoline 0.70–0.77 g/cm 3 neon 0.83 g/L
gold 19.3 g/cm 3 mercury 13.6 g/cm 3 radon 9.1 g/L

While there are many ways to determine the density of an object, perhaps the most straightforward method involves separately finding the mass and volume of the object, and then dividing the mass of the sample by its volume. In the following example, the mass is found directly by weighing, but the volume is found indirectly through length measurements.

What is whizatron?
What is stoichometry
what is atom
An indivisible part of an element
ngwuebo
the smallest particle of an element which is indivisible is called an atom
Aloaye
An atom is the smallest indivisible particle of an element that can take part in chemical reaction
Alieu
is carbonates soluble
what is the difference between light and electricity
What is atom? atom can be defined as the smallest particles
what is the difference between Anode and nodes?
What's the net equations for the three steps of dissociation of phosphoric acid?
what is chemistry
the study of matter
Reginald
what did the first law of thermodynamics say
energy can neither be created or distroyed it can only be transferred or converted from one form to another
Graham's law of Diffusion
what is melting vaporization
melting and boiling point explain in term of molecular motion and Brownian movement
Anieke
Scientific notation for 150.9433962
what is aromaticity
aromaticity is a conjugated pi system specific to organic rings like benzene, which have an odd number of electron pairs within the system that allows for exceptional molecular stability
Pookieman
what is caustic soda
sodium hydroxide (NaOH)
Kamaluddeen
what is distilled water
Rihanat
is simply means a condensed water vapour
Kamaluddeen
a hydrocarbon contains 7.7 percent by mass of hydrogen and 92.3 percent by mass of carbon