1 molecules of [tex]HNO_3[/tex] contains 1 molecules of nitrogen atoms.
So, [tex]4.3\times 10^{22}[/tex] molecules of [tex]HNO_3[/tex] contains [tex]4.3\times 10^{22}[/tex] molecules of nitrogen atoms.
Now, 61 g of [tex]HNO_3[/tex] contains :
[tex]=\dfrac{61}{4.5}\times 10^{22}\\\\=1.356\times 10^{23}\ molecules[/tex]
Now , 1 molecule of nitric acid contains 3 molecules of oxygen.
So, number of oxygen molecules in 61 g nitric acid is :
[tex]n = 3\times 1.356\times 10^{23}\ molecules\\\\n =4.068\times 10^{23}\ molecules[/tex]
Hence, this is the required solution.