Question

Question 29
The mass of one steel screw is 4.11g. Find the mass of one mole of these steel screws. Compare this value with the mass of the Earth $(5.98\times {10}^{24}kg)$. which one of the two is heavier and by how many times?

Answer 1

Given,
Mass of one steel screw = 4.11g
Mass of the Earth = $5.98\times {10}^{24}kg$
One mole = $6.022\times {10}^{23}$ atoms/molecules/ions
Mass of one mole of screws = $6.022\times {10}^{23}\times 4.11$ = $2.475\times {10}^{24}g$
$\frac{MassoftheEarth}{Massof1moleofscrews}=\frac{5.98\times {10}^{24}kg}{2.475\times {10}^{21}kg}=2.42\times {10}^3$
Mass of earth is $2.42\times {10}^3$ times the mass of screws.
Therefore, the earth is 2420 times heavier than one mole of screws.