From the following reaction scheme , write the rate law for the disappearance of A,B and C .
1 . `A + B overset(k_(1)) C+D`
2 . `C+D overset(k_(2)) to A+B`
3. `B+C overset(k_(3)) E+D`

Explanation

To derive the rate laws for the disappearance of A, B, and C from the given reaction scheme, we will analyze each reaction step and express the rates accordingly.

### Step 1: Identify the reactions and their rates

1. **Reaction 1:** \( A + B \overset{k_1}{\rightarrow} C + D \)
- The rate of disappearance of A and B can be expressed as:
\[
-\frac{d[A]}{dt} = k_1 [A][B]
...