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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.

Sagot :

  • No of. atoms=9.46×10^23

We know

[tex]\boxed{\star{\sf No\;of\:atoms=No\:of\: moles\times Avagadro's\: number}}[/tex]

[tex]\\ \rm\Rrightarrow No\:of\;moles=\dfrac{No\:of\:atoms}{Avagadro's\:no}[/tex]

[tex]\\ \rm\Rrightarrow No\:of\:moles =\dfrac{9.46\times 10^{23}}{6.022\times 10^{23}}[/tex]

[tex]\\ \rm\Rrightarrow No\:of\:moles=1.6mol[/tex]

Again

[tex]\boxed{\star{\sf Mass=Molar\:mass\times No\:of\:moles}}[/tex]

[tex]\\ \rm\Rrightarrow Mass=1.6(14)[/tex]

[tex]\\ \rm\Rrightarrow Mass=22.4g[/tex]

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