A hypothetical reaction, `A rarr 2B`, proceeds via following sequence of steps
`{:(ArarrC,,DeltaH = q_(1),,,),(CrarrD,,DeltaH = q_(2),,,),((1)/(2)D rarrB,,DeltaH = q_(3),,,):}`
The heat of reaction is

Options

A. `q_(1) - q_(2) +2q_(3)`
B. `q_(1) +q_(2) - 2q_(2)`
C. `q_(1)+q_(2) +2q_(3)`
D. `q_(1) +2q_(2) - 2q_(3)`

Explanation

To solve the problem regarding the heat of reaction for the hypothetical reaction \( A \rightarrow 2B \) that proceeds through the given sequence of steps, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Steps and Their Enthalpy Changes**:
- The reaction proceeds through the following steps:
1. \( A \rightarrow C \) with \( \Delta H = q_1 \)
2. \( C \rightarrow D \) with \( \Delta H = q_2 \)
...