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Question: Rate of formation of SO3 in the following reaction 2SO2 + O2\(\rightarrow\)<!-- -->2SO3 is 100 g min...

Rate of formation of SO3 in the following reaction 2SO2 + O2\rightarrow2SO3 is 100 g min–1. Hence rate of disappearance of O2 is :

A

50 g min-1

B

40 g min–1

C

200 g min–1

D

20 g min–1

Answer

20 g min–1

Explanation

Solution

ddt\frac{d}{dt} [SO3] = 100 gram / min =10080\frac{100}{80} mole / min = 1.25

mole/min.

12ddt[SO2]=ddt[O2]=12ddt[SO3]\frac{- 1}{2}\frac{d}{dt}\left\lbrack SO_{2} \right\rbrack = \frac{- d}{dt} \left\lbrack O_{2} \right\rbrack = \frac{1}{2}\frac{d}{dt}\left\lbrack SO_{3} \right\rbrack

ddt1.252[O2]\frac{- d}{dt}\frac{1.25}{2}\left\lbrack O_{2} \right\rbrack= mole/min =1.252×32= \frac{1.25}{2} \times 32 gram/min

= 20 gram/min