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Using the law of conservation of mass and the Darsi law, derive equation (15).
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Use the fact that $N_{1}(t)+N_{2}(t)=N_{\text {tocal }}$ to write Equation $15.15$ as $$ \frac{d N_{2}}{B \rho_{v}\left(v_{12}\right) N_{\text {total }}-\left[A+2 B \rho_{v}\left(v_{12}\right)\right] N_{2}}=d t $$ Now show that the integral of this equation gives Equation $15.16 .$
1 which equation demonstrates the law of conservation of mass?
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