Which has more number of atoms?
100g of `N_(2)` or 100g of `NH_(3)`

Explanation

Molar mass of `N_(2)=2 xx 14=28g`
`therefore` 28g of `N_(2)` has number of molecules `=6.022 xx 10^(23)`
`therefore` 100g of `N_(2)` has number of molecules =`(6.022 xx 10^(23) xx 100)/(28) = 2.1 xx 10^(24)`
Atoms in 100g of `N_(2) = 2.1 xx 10^(24) xx 2`
`=4.2 xx 10^(24)` atoms.
Simiarly, molar mass of `NH_(3) = 14_3 xx 1=17g`
`therefore` 17g of `NH_(3)` has numbe of molecules `=(6.022 xx 10^(23) xx 100)/(17) = 3.54 xx 10^(24)`
Atoms in 100 g of `NH_(3) = 3.54 xx 10^(24)xx4=1.416 xx 10^(25)`
Thus, 100g of `NH_(3)` has more number of atoms.