For a reaction initial rate is given as : `R_(0)=k[A_(0)]^(2)[B_(0)]`. By what factor, the initial rate of reaction will increase if initial concentration is taken 1.5 times and B is tripled?

Options

A. 4.5
B. 2.25
C. 6.75
D. none of these

Answer

C

Explanation

`R_(0)=k[A_(0)]^(2)[B_(0)]`
`R._(0)=k[1.5 A_(0)]^(2)[3B_(0)]`
`R._(0)=k(1.5)^(2) xx 3[A_(0)]^(2)[B_(0)]`
From eq. (i) and (ii)
`R._(0)=6.75 R._(0)`