The mass of one steel screw is 4.11 g. Find the mass of the of one mole of these steel screws. Compare this value with the mass of the earth `(5.98 xx 10^(24)kg)`. Which one of the two is heavier and by how many times?

Explanation

No. of steel screws in 1 mole=`6.022xx10^(23)`
Mass of one steel screw=4.11g
Mass of one mole steel screws=`(4.11g)xx(6.022xx10^(23))`
`=2.475xx10^(24)g=2.475xx10^(23)kg`
`"Mass of the earth"=5.98xx10^(24)kg("given")`
`("Molar of earth")/("Mass of the steel screws")=((5.98xx10^(24)kg))/((2.475xx10^(21)kg))=2.4xx10^(3)`