For the reaction `2A+BtoC` with the rate low `(d[C])/(dt)=k[A]^(1)[B]^(-1)` and started with A and B in stoichiometric proportion.Which is/are true ?

Options

A. unit of k is `Ms^(-1)`
B. [A],[B] and [C] all will be linear functions of time
C. [C]=2kt
D. [C]=kt

Answer

A,B,C

Explanation

`{:(" ",2A" " +,B" " to,C),(t=0,2a,a,0),(t=t,2a-2x,a-x,x):}`
`(d[C])/dt=k2(a-x)(a-x)^(-1)=2kimplies intd[c]=intk dtimplies [C]=2kt`
unit of k=`Ms^(-1)`
`[A]=2(a-x) and [C]=x`
`[B]=(a-x)`