In the reaction given below
`2HI(g) rarr H_2+I_2(g)`
Choose the correct alternative.

Options

A. `Rate of reaction = (-1)/2(Delta[H])/(Deltat)=(Delta[H_2])/(Deltat)=(Delta[I_2])/(Deltat)`
B. Stoiclometric coefficients of HI (reactant), `H_2` and `I_2` (products) are not same
C. Rate of consumption of HI = 2(rate of formation of `H_2 or I_2)`
D. All above statements are true

Answer

To solve the problem regarding the reaction \( 2HI(g) \rightarrow H_2 + I_2(g) \), we need to analyze the rate of the reaction and the relationships between the reactants and products.

### Step-by-Step Solution:

1. **Identify the Reaction**:
The reaction given is \( 2HI(g) \rightarrow H_2 + I_2(g) \). This is a decomposition reaction where hydrogen iodide (HI) decomposes into hydrogen (H2) and iodine (I2).

2. **Write the Rate of Reaction**:
The rate of a reaction can be expressed in terms of the change in concentration of the reactants and products over time. For the given reaction, the rate can be expressed as:
\[ \text{Rate} = -\frac{1}{2} \frac{d[HI]}{dt} = \frac{d[H_2]}{dt} = \frac{d[I_2]}{dt} \]
Here, the negative sign indicates the decrease in concentration of the reactant (HI), and the coefficients (1 for H2 and I2, and 2 for HI) are used to balance the rate expressions.

3. **Understand the Stoichiometry**:
The stoichiometry of the reaction indicates that 2 moles of HI produce 1 mole of H2 and 1 mole of I2. Therefore, the rate of formation of H2 and I2 is half the rate of disappearance of HI.

4. **Relate the Rates**:
Since the rate of formation of products is equal to the rate of disappearance of reactants, we can conclude:
\[ \text{Rate of disappearance of } HI = 2 \times \text{Rate of formation of } H_2 = 2 \times \text{Rate of formation of } I_2 \]

5. **Conclusion**:
The correct statement regarding the rates of the reaction is that the rate of consumption of reactants (HI) is equal to the rate of formation of products (H2 and I2), adjusted for their stoichiometric coefficients. Therefore, the correct option is that the rate of disappearance of HI is twice the rate of formation of H2 or I2.