a sheet of aluminum (al) foil has a total area of 1.000 ft2 and a mass of 3.686 g. what is the thickness of the foil in millimeters (density of al

Respuesta :

The thickness of the aluminum foil in millimeters is 0.0147 mm

What is density?

The density of a substance is simply defined as the mass of the subtance per unit volume of the substance. Mathematically, it can be expressed as

Density = mass / volume

How to determine the volume of the aluminum

  • Mass of aluminum = 3.686 g
  • Density of aluminum = 2.699 g/cm³
  • Volume of aluminum =?

Density = mass / volume

Thus,

Volume = mass / density

Volume of aluminum = 3.686 / 2.699

Volume of aluminum = 1.366 cm³

Divide by 28316.8 to express in ft³

Volume of aluminum = 1.366 / 28316.8

Volume of aluminum = 4.82×10⁻⁵ ft³

How to determine the thickness of the aluminum foil

  • Area = 1 ft²
  • Volume of aluminum = 4.82×10⁻⁵ ft³
  • Thickness =?

Volume = area × thickness

Divide both sides by area

Thickness = volume / area

Thickness = 4.82×10⁻⁵ / 1

Thickness = 4.82×10⁻⁵ ft

Multiply 304.8 to express in mm

Thickness = 4.82×10⁻⁵ × 304.8

Thickness = 0.0147 mm

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Complete question

A sheet of aluminum foil has a total area of 1.000ft2and a mass of 3.686g. What is the thickness of the foil inmillimeters? (The density of aluminum is 2.699g/cm3)