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Chapter 1: Q 1.4E (page 27)

Question:The density of gold is 19.3 g/cm3 . What is this value in kilograms per cubic meter?

Short Answer

Expert verified

Answer

The density of gold in kg/m3 is 19300 kg/m3.

Step by step solution

01

Density and its unit

Density is the ratio of the mass of the body to its volume. Hence, if we take mass as kg and volume as m3, then the SI unit of density becomes kg/m3.

Given data:

The density of gold is ρ=19.3 g/cm3.

02

Determination of density in SI unit

The density in kg/m3 can be calculated as,

ρ=19.3 g/cm3×1 kg1000 g×(100 cm1 m)3ρ=19300 kg/m3

Hence from the above calculation we can say 19300 kg/m3 is the value of density in kilograms per cubic meter.

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