Respuesta :
Aluminum foil can be made to a maximum length of 87.76 meters from 1.10 kg of aluminum.
How do you compute density?
- Density is defined as d = M/V, where d is density, M is mass, and V is volume.
- Though the SI unit of density is kg/m3, we use g/cm3 for solids, g/ml for liquids, and g/L for gases for convenience.
- Density is an important concept because it tells us which substances will float and which will sink when placed in a liquid. Substances float in general if their density is less than the density of the liquid in which they are placed.
By using the above formula for density
ρ = mass / volume
⇒ As given in the problem Rolls of aluminum foil are 304 mm wide and 0.016-mm thick.
the mass of the aluminum = 1.10-kg
mass = 1100 grams
the density of the aluminum = 2.70 g/cm3
density = 17/3
⇒ 2.70 g/cm3 = 1100 grams /volume
volume = 1100/ 2.70
=407.40 cm3
volume = width ×thickness ×length
407.40 cm3 = 30.4 ×.0016 ×length
⇒ length = 8375.97 cm
= 87.76 meters
Thus, the maximum length of aluminum foil that can be made from 1.10-kg of aluminum would be 87.76 meters.
To learn more about density refer to
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