As per the reaction "N_2(g)+ O_2(g) \u2192 2NO(g)" ,
Moles of "N_2" reacted "=" Moles of "O_2" reacted.
And,"4" moles of "N_2" and "3" moles of "O_2" are given,So oxygen will be limiting reagent.So,amount of oxygen will decide the moles of "NO" formed.
And, Moles of "NO" formed"=2\\times"Moles of "O_2" reacted="2\\times3=6\\"moles.
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