Chapter 16.3, Problem 26SSC

Interpretation Introduction

Interpretation:

The circumstance under which the specific rate constant is not a constant and the size of k indicates about the rate of reaction needs to be explained.

Concept introduction:

A thermodynamic process in which the temperature of a system remains constant is termed as isothermal process. At zero degree Celsius the melting of ice is an example of isothermal process.

Answer to Problem 26SSC

Specific rate constant is not a constant if reaction is not isothermal and larger the value of k, faster the rate of reaction.

Explanation of Solution

In a rate law equation, the k is specific rate constant which is a numerical value that relates concentration of reactants with the reaction rate at a given temperature. The k is unique for every reaction and have units, such as $\text{L}/(\text{mol}\cdot \text{s}),L^2/({\text{mol}}^2\cdot \text{s})\text{and}{\text{s}}^{-1}$. The value of k indicates the effect of temperature in rate of the reaction. Specific rate constant is a function of temperature and varies if the change of temperature occurs. If the reaction is not isothermal the specific rate constant is not constant. Higher the value of k, faster the reaction and hence increases the rate

Conclusion

Temperature dependence of a reaction can be explained by specific rate constant.