Verified Answer :

The number of moles of nitrogen gas is  2.5 moles.

 


\(1 \ molecule of \ N_2 = 2\ atoms \ of N\)


molecules= \(3.0\times10^{24} atoms\)

According to Avogadro's  law :-

\(1\ mole=6.02\times10^{23} molecules\)

So, to find the number of moles of gas we divide \(1.5 \times10^{24} molecules\) by \(6.022 \times10^{23} molecules\)  


\(\frac{1.5\times10^{24}\ molecules }{6.022\times10^{23}molecules/mol} \\\\=0.249\times10\\\\=2.5\ moles\)

Hence, the moles of nitrogen gas are in the sample is 2.5 moles.

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