We shoud use Ideal Gas Law to answer this question:
PV=nRTPV = nRTPV=nRT
765mmHg×0.550L=n×62.363L×mmHgK×mol×(28.7+273.15)K765 mmHg\times0.550 L = n\times62.363\frac{L \times mmHg}{K \times mol}\times(28.7+273.15)K765mmHg×0.550L=n×62.363K×molL×mmHg×(28.7+273.15)K
n(N2)=0.0224moln(N_2) =0.0224 moln(N2)=0.0224mol
Answer: 0.0224 mol
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