Question

A sheet of aluminum foil weighs 2.07g. If the sheet is 24cm long and 20cm wide, how thick is the sheet in micrometers? The density of aluminum is 2.7 g/cm3.

Answer 1

Answer:

$h=1.60\mu m$

Explanation:

Hello,

In this case, given the density and the mass of the aluminum foil, we can compute the occupied volume as shown below:

$\rho =\frac{m}{V}\\ \\V=\frac{m}{\rho}=\frac{2.07g}{2.7g/cm^3} =0.767cm^3$

Next, since the volume is defined as:

$V=24cm*20cm*h$

Whereas $h$ accounts for its thickness, we can find it to be:

$h=\frac{V}{24cm*20cm}=\frac{0.767cm^3}{20cm*24cm}\\ \\h=1.60x10^{-3}cm*\frac{10000\mu m}{1cm} \\\\h=1.60\mu m$

Regards.