Question

A sample of nitrogen gas contains 9.46x10^23 atoms of nitrogen. How much nitrogen is expressed in grams? round your answer to the nearest whole number.

Answer 1

• No of. atoms=9.46×10^23

We know

`\boxed{\star{\sf No\;of\:atoms=No\:of\: moles* Avagadro's\: number}}`

`\\ \rm\Rrightarrow No\:of\;moles=(No\:of\:atoms)/(Avagadro's\:no)`

`\\ \rm\Rrightarrow No\:of\:moles =(9.46* 10^(23))/(6.022* 10^(23))`

`\\ \rm\Rrightarrow No\:of\:moles=1.6mol`

Again

`\boxed{\star{\sf Mass=Molar\:mass* No\:of\:moles}}`

`\\ \rm\Rrightarrow Mass=1.6(14)`

`\\ \rm\Rrightarrow Mass=22.4g`