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

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

$\\ \rm\Rrightarrow No\:of\;moles=\dfrac{No\:of\:atoms}{Avagadro's\:no}$

$\\ \rm\Rrightarrow No\:of\:moles =\dfrac{9.46\times 10^{23}}{6.022\times 10^{23}}$

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

Again

$\boxed{\star{\sf Mass=Molar\:mass\times No\:of\:moles}}$

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

$\\ \rm\Rrightarrow Mass=22.4g$