| In a gaseous phase reaction, |
| \[{{A}_{2}}(g)\,\xrightarrow{\,}\,B(g)\,+\frac{1}{2}\,(g),\] |
| the increase in pressure from 100 mm to 120 mm is noticed in 5 min. The rate of disappearance of \[{{A}_{2}}\] in mm \[{{\min }^{-1}}\] is |
A) 4
B) 8
C) 16
D) 2
Correct Answer: B
Solution :
| \[{{A}_{2}}(g)\xrightarrow{\,}\,B(g)+\frac{1}{2}\,C(g)\] |
| \[-\frac{d[{{A}_{2}}]}{dt}=2\,\frac{d\,[C]}{dt}\] |
| \[\frac{d\,[C]}{dt}=2\,\frac{120-100}{5}=4\,\,mm\,\,{{\min }^{-1}}\] |
| \[\therefore \] \[\frac{d\,[{{A}_{2}}]}{dt}=2\times 4\] |
| \[=8\,\,mm\,{{\min }^{-1}}\] |
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