Question

Mass of 1 steel screw is 4.11g Find the mass of 1 mole of steel screw. Compare this with the mass of Earth. Mass of Earth is 5.98*10power24 kg.Which one is heavier by how many times

Answer 1

Mass of 1 steel screw is 4.11g. Find the mass of 1 mole of steel screw. Compare this with the mass of Earth. Mass of Earth is 5.98*10power24 kg. Which one is heavier by how many times

Solution:

Mass of one mole of steel screw is:

$$M = m (\text{one steel screw}) \times N_A$$

$N_A = 6.022 \times 10^{23}$ – Avogadro number

$$M = 4.11 \times 6.022 \times 10^{23} = 24.75 \times 10^{23} \, (\text{g}) = 2.475 \times 10^{21} \, (\text{kg})$$ $$\frac{\text{Mass of Earth}}{\text{Mass of 1 mole of steel screw}} = \frac{5.98 \times 10^{24}}{2.475 \times 10^{21}} = 2416$$

Answer:

Mass of 1 mole of steel screw is $2.475 \times 10^{21}$ kg. Earth is 2416 times heavier than one mole of steel screw