Question

Sulfur dioxide emissions in power plant stack gases may react with carbon monoxide as follows: SO_2 (g) + 3CO(g) rightarrow 2CO_2 + COS(g) Write an equation relating each of the following pairs of rates:

a. The rate of formation of CO_2 to the rate of consumption of CO
b. The rate of formation of COS to the rate of consumption of SO_2
c. The rate of consumption of CO to the rate of consumption of SO_2

Answer 1

a.

`(1)/(2) (dC_(CO_2))/(dt) =-(1)/(3) (dC_(CO))/(dt)`

b.

`(dC_(COS))/(dt)=- (dC_(SO_2))/(dt)`

c.

`-(1)/(3) (dC_(CO))/(dt)=(dC_(SO_2))/(dt)`

Step-by-step explanation:

Hello,

In this case, the undergoing chemical reaction is:

`SO_2 (g) + 3CO(g) \rightarrow 2CO_2 + COS(g)`

For which rates of consumption are related as follows, taking into account the change in the concentration with respect to the time and each species stoichiometric coefficient:

`-(1)/(3) (dC_(CO))/(dt)=- (dC_(SO_2))/(dt)=(1)/(2) (dC_(CO_2))/(dt) =(dC_(COS))/(dt)`

For the given requirements, each rate of formation turns out as shown below:

a.

`(1)/(2) (dC_(CO_2))/(dt) =-(1)/(3) (dC_(CO))/(dt)`

b.

`(dC_(COS))/(dt)=- (dC_(SO_2))/(dt)`

c.

`-(1)/(3) (dC_(CO))/(dt)=(dC_(SO_2))/(dt)`

Best regards.