Question

The density of a 1 milliter sample of water is 1 gram. express this density in milligrams per liter
using dimensional analysis. underline the conversion factors in your calculation. use the appro-
priate abbreviations for the unit labels.

Answer 1

The correct answer is 1000 Kg/M³

Density of water =1-g/cm3.

We know 1- g= 10^-³ Kg

cm³ =(10^-2)³= 10^-6

Substituting we get

Density of water

= 1 x (1x10^-³)/10^-6 Kg/M³

= 1x10^3 = 1000 Kg/M³

what is density?

Density is the mass of a material substance per unit volume. Density is defined as d = M/V, where d represents density, M is mass, and V is volume. Density is generally measured in grammes per cubic centimetre. Water, for example, has a density of 1 gramme per cubic centimetre, but Earth has a density of 5.51 grammes per cubic centimetre. Density is sometimes measured in kilos per cubic metre (in metre-kilogram-second or SI units). The density of air, for example, is 1.2 kilogrammes per cubic metre. Textbooks and handbooks list the densities of common solids, liquids, and gases.

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