Question

A sheet of aluminum foil has a total area of 1.000 m2 and a mass of 3.636 g. What is the thickness of the sheet in millimeters? Density of aluminum = 2.699 g/cm3. Give your answer with the correct number of significant figures and express the answer in scientific notation.

Answer 1

Answer:

$t=1.34\times 10^{-3}\ mm$

Explanation:

Given that,

Area of sheet of Aluminium foil is 1 m²

Mass of the sheet = 3.636 g

The density of Aluminium, $d=2.699\ g/cm^3$

We need to find the thickness of the sheet in millimeters.

The density of an object is given in terms of its mass and volume as follows :

$d=\dfrac{m}{V}$

V = volume, V = A×t, t = thickness of the sheet

So,

$d=\dfrac{m}{A\times t}\\\\t=\dfrac{m}{Ad}\\\\t=\dfrac{3.636\ g}{10000\ cm^2\times 2.699\ g/cm^3}\\\\t=0.000134\ cm$

Since, 1 cm = 10 mm

So,

t = 0.00134 mm

or

$t=1.34\times 10^{-3}\ mm$