2SO2+O2→2SO32 SO_2+O_2 \to 2 SO_32SO2+O2→2SO3
By rate law kinetics:
−12d[SO2]dt=12d[SO3]dt-\frac{1}{2} \frac{d[SO_2]}{dt}=\frac{1}{2} \frac{d[SO_3]}{dt}−21dtd[SO2]=21dtd[SO3]
hence,−d[SO2]dt- \frac{d[SO_2]}{dt}−dtd[SO2] === d[SO3]dt\frac{d[SO_3]}{dt}dtd[SO3]
so,rate at which SO2SO_2SO2 reacts=−(-(−( rate at which SO3SO_3SO3 forms.)))
=−1.6×10−3 kg/min=-1.6 \times 10^{-3} \space kg /min=−1.6×10−3 kg/min (negative sign represents the diminishing concentration of SO2SO_2SO2 )
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