Question

For the reaction $2 A +3 B +\frac{3}{2} C \to 3 P ,$ which statement is correct ?

• A. $\frac{ dn _{ A }}{ dt }=\frac{ dn _{ B }}{ dt }=\frac{ dn _{ C }}{ dt }$
• B. $\frac{ dn _{ A }}{ dt }=\frac{2}{3} \frac{ dn _{ B }}{ dt }=\frac{3}{4} \frac{ dn _{ C }}{ dt }$
• C. $\frac{ dn _{ A }}{ dt }=\frac{3}{2} \frac{ dn _{ B }}{ dt }=\frac{3}{4} \frac{ dn _{ C }}{ dt }$
• D. $\frac{ dn _{ A }}{ dt }=\frac{2}{3} \frac{ dn _{ B }}{ dt }=\frac{4}{3} \frac{ dn _{ C }}{ dt }$

Answer 1

Answer: (D)

For $a A+b B \rightarrow c C$

$\frac{-1}{a} \frac{d[A]}{d t}=\frac{-1}{b} \frac{d[B]}{d t}=\frac{1}{c} \frac{d[C]}{d t}$

$\therefore \frac{-1}{2} \frac{ d [ A ]}{ dt }=\frac{-1}{3} \frac{ d [ B ]}{ dt }=\frac{-2}{3} \frac{ d [ C ]}{ dt }=\frac{1}{3} \frac{ d [ P ]}{ dt }$