The rate of the reaction
`2NO+Cl_(2)rarr 2NOCl`
is given by the rate equation
`Rate = k[NO]^(2)[Cl_(2)]`
The value of the rate constant can be increased by

Options

A. increasing the concentration of NO.
B. increasing the concentration of the `Cl_(2)`
C. increasing the temperature
D. doing all of these

Answer

To determine how the value of the rate constant (k) for the reaction \(2NO + Cl_2 \rightarrow 2NOCl\) can be increased, we need to analyze the factors that influence the rate constant.

### Step-by-Step Solution:

1. **Understand the Rate Equation**: The rate of the reaction is given by the equation:
\[ \text{Rate} = k[NO]^2[Cl_2] \]
Here, \(k\) is the rate constant, and it is influenced by certain factors.

2. **Identify Factors Affecting the Rate Constant**: The rate constant \(k\) is primarily affected by temperature. Other factors such as concentration of reactants do not affect the value of \(k\).

3. **Temperature Influence**: Increasing the temperature generally increases the kinetic energy of the molecules involved in the reaction. This leads to more frequent and more energetic collisions between the reactant molecules, which can increase the rate of reaction.

4. **Conclusion**: Since the only way to increase the value of the rate constant \(k\) is by changing the temperature, the answer to the question is that the rate constant can be increased by increasing the temperature.

### Final Answer:
The value of the rate constant can be increased by increasing the temperature.

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