Nitric oxide reacts with \(\mathrm{H}_2\) according to reaction. \(2 \mathrm{NO}_{(\mathrm{g})}+2 \mathrm{H}_{2(\mathrm{~g})} \rightarrow \mathrm{N}_{2(\mathrm{~g})}+2 \mathrm{H}_2 \mathrm{O}_{(\mathrm{g})}\), identify correct relation for disappearance of reactant and appearance of product.

1. A \(\frac{1}{2} \frac{\mathrm{~d}[\mathrm{NO}]}{\mathrm{dt}}=-\frac{\mathrm{d}\left[\mathrm{H}_2\right]}{\mathrm{dt}}\)
2. B \(\frac{\mathrm{d}\left[\mathrm{N}_2\right]}{\mathrm{dt}}=\frac{1}{2} \frac{\mathrm{~d}\left[\mathrm{H}_2 \mathrm{O}\right]}{\mathrm{dt}}\)
3. C \(-\frac{\mathrm{d}\left[\mathrm{N}_2\right]}{\mathrm{dt}}=\frac{1}{2} \frac{\mathrm{~d}\left[\mathrm{H}_2 \mathrm{O}\right]}{\mathrm{dt}}\)
4. D \(\frac{\mathrm{d}\left[\mathrm{H}_2\right]}{\mathrm{dt}}=-\frac{1}{2} \frac{\mathrm{~d}\left[\mathrm{~N}_2\right]}{\mathrm{dt}}\)