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

Explanation

Gram molar mass of `N_(2)=2xx14=28g`
28g of `N_(2)` have nitrogen atoms=`2xxN_(A)`
`"100 g "N_(2)"have nitrogen atoms"=2xxN_(A)xx((100g))/((28g))=7.143xxN_(A)`
`=7.143xx6.022xx10^(23)=4.3xx10^(24)"atoms"`
(b) Gram molar mass of `NH_(3)=14+xx1=17g`
`"17 g of "NH_(3) "have atoms"=4xxN_(A)`
`"100 g of "NH_(3) "have atoms"=4xxN_(A)xx((100g))/((17g))=2.53xxN_(A)`
`=23.53xx6.022xx10^(23)=1.42xx10^(25)"atoms"`
100g of `NH_(3)` have more number of atoms.