For the reaction $$\mathrm{N}_{2(\mathrm{~g})}+3 \mathrm{H}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{NH}_{3(\mathrm{~g})}$$, rate of disappearance of $$\mathrm{N}_{2(\mathrm{~g})}$$ is $$2.22 \times 10^{-3} \mathrm{~mol} \mathrm{~dm}^{-3}$$. What is the rate of appearance of $$\mathrm{NH}_{3(\mathrm{~g})}$$ ?

Find the rate constant of first order reaction in second having half life of 2.5 hours.

If rate of reaction is given as

$$\frac{1}{3} \frac{\mathrm{d}[\mathrm{x}]}{\mathrm{dt}}=-\frac{1}{2} \frac{\mathrm{d}[\mathrm{y}]}{\mathrm{dt}}=-\frac{\mathrm{d}[\mathrm{Z}]}{\mathrm{dt}}$$,

the reaction can be represented as

In a first reaction 60% of reactant decomposes in 4.606 min. What is half life of reaction? (k = 0.1989 min$$^{-1}$$)