For `I^(st)` order decomposition of `SO_2Cl_2(g)`,
`SO_2Cl_2(g)toSO_2(g)+Cl_2(g)`
a graph of log (a-x) `v//s` t is shown in figure

answer the following using above information.
What is the rate constant (in `sec^(-1)`) ?

Options

A. 0.2
B. `4.6xx10^(-1)`
C. `7.7xx10^(-3)`
D. `1.15xx10^(-2)`

Answer

C

Explanation

`{:(,SO_2Cl_2(g)to,SO_2(g)+,Cl_(2)(g)),(at " "t=0,a,0,0),(at " " t=t ,(a-x), x, x):}`
`K=2.303/t "log" (a/(a-x))`
`log (a-x)=[-K/2.303]t+log a`
slope=`-K/2.303=-2/10`
`K=2/10xx2.303/60sec^(-1)`
`=7.7xx10^(-3) sec^(-1)`