The maximum length of gold foil could be 1171.7 cm made from 1.10 x 10³ g of gold.
<h3>What is the density?</h3>
The density of an object can be described as the mass per unit volume. The average density is equal to the total mass divided by its total volume.
The mathematical formula of the density of the material can be expressed as follows:
Density = Mass/Volume
The density of a substance is an intrinsic property as it doesn't depend on its size and the S.I. unit of the density is Kg/m³.
Given the width of the gold foil, w = 304 mm = 30.4 cm
The height or thickness of the foil, h = 0.016 mm = 0.0016 cm
The density of the gold foil, d = 19.3 g/cm³
The mass of the gold given, m = 1100 g
The volume of the foil = m/d = 1100/ 19.3 = 56.99 g/cm³
As we know that the volume of gold foil , V = l × w × h
l = V/(w × h)
l = 56.99/(30.4 × 0.0016)
l =1171.7 cm
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