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likoan [24]
3 years ago
10

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.
Chemistry
1 answer:
olga2289 [7]3 years ago
8 0

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

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