The decomposition reaction: so, cl, so2 + cl2, has a first order rate constant of 2.2 x 10's at 320 °c. if the initial concentration of so2cl2 is 0.0040 m, what will be its concentration be (a) after 1.00 hr and (b) after 1.00 day?

Answer :

(a) The concentration of after 1.00 hr will be 0.0037 M

(b) The concentration of after 1.00 day will be 0.00060 M

Explanation :

(a) The expression for first order reaction is:

where,

= concentration of at time 't'  = ?

= concentration of at time '0' = 0.0040 M

k = rate constant = (assuming the power of 10 from the correct source)

t = time = 1.00 hr = 3600 s (1 hr = 3600 s)

Now put all the given values in the above expression, we get:

Thus, the concentration of after 1.00 hr will be 0.0037 M

(b) The expression for first order reaction is:

where,

= concentration of at time 't'  = ?

= concentration of at time '0' = 0.0040 M

k = rate constant =

t = time = 1.00 day = 86400 s (1 day = 86400 s)

Now put all the given values in the above expression, we get:

Thus, the concentration of after 1.00 day will be 0.00060 M

b

explanation:

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