Question

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

Answer 1

Mass of one steel screw= 4.11 g

Thus, mass of one mole of screw$=4.11\times N_A=4.11\times 6.022\times {10}^{23}$

One mole of screws weigh $2.475\times {10}^{24}g$= $2.475\times {10}^{21}kg$

$\frac{Massoftheearth}{Massof1moleofscrews}$=$\frac{5.98\times {10}^{24}kg}{2.75\times {10}^{21}kg}={2.410}^3$

Mass of earth is ${2.410}^3$ times the mass of screw

The earth is 2400 times heavier than a mole of screw.