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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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Most popular questions from this chapter

In Wagner’s opera Das Rheingold,the goddess Freia is ransomed for a pile of gold just tall enough and wide enough to hide her from sight. Estimate the monetary value of this pile. The density of gold is 19.3 g/cm3, and take its value to be about $10 per gram.

While driving in an exotic foreign land, you see a speed limit sign that reads 180,000 furlongs per fortnight. How many miles per hour is this? (One furlong is 1/8 mile, and a fortnight is 14 days. A furlong originally referred to the length of a plowed furrow.)

You throw a glob of putty straight up toward the ceiling,which is 3.60 m above the point where the putty leaves your hand.The initial speed of the putty as it leaves your hand is 9.50 m/s.

(a) What is the speed of the putty just before it strikes the ceiling?

(b) How much time from when it leaves your hand does it take theputty to reach the ceiling?

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The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360 horsepower and had a displacement of 327 cubic inches. Express this displacement in liters (L) by using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm.
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