h = 0.1 micrometer = 0.0000001 meter – the thickness to which gold can be flattened;
m = 2 grams = 0.002 kilograms – the mass of a piece of gold;
ro = 13600 kilograms / cubic meter – the density of gold.
It is required to determine S (square meter) – which surface can be covered with a piece of gold of mass m.
Let’s find the volume of gold with mass m:
V = m / ro = 0.002 / 13600 = 0.00000015 cubic meters.
Then the surface area will be equal to:
S = V / h = 0.00000015 / 0.0000001 = 1.5 square meters.
Answer: a piece of gold can cover a surface equal to 1.5 m2.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.