Question

For the reaction, A + B $\to$ C, it is found that doubling the concentration of A increases the rate by 4 times, and doubling the concentration of B doubles the reaction rate. What is the overall order of the reaction?

• A. 4
• B. 3/2
• C. 3
• D. 1

Answer 1

Answer: (C)

3

We know,

Rate, $r=k\left[A{]}^x\right[B{]}^y$ ----- 1

As per the given condition,

$4r=k\left(2\right[A\left]{)}^x\right[B{]}^y$ ------ 2

$2r=k\left[A{]}^x\right(2\left[B\right]{)}^y$ ------ 3

Solving 1 and 2 equation we get, $x=2$

Solving 1 and 3 equation we get, $y=1$

So, order, $n=x+y=2+1=3$

Hence, the correct option is $\text{C}$