Question

a student calculates the rate constant, k, for a reaction at two different temperatures: k₁ = 0.025 s⁻¹ at t₁ = 293 k k₂ = 0.050 s⁻¹ at t₂ = 303 k based on this data, what can be concluded about the relationship between temperature and the reaction rate? select one: increasing the temperature decreases the reaction rate. there is no clear relationship between temperature and reaction rate. increasing the temperature increases the reaction rate. the reaction rate is only affected by concentration, not temperature.

Explanation:

Step1: Analyze the data

We have \(k_1 = 0.025\ s^{-1}\) at \(T_1=293\ K\) and \(k_2 = 0.050\ s^{-1}\) at \(T_2 = 303\ K\).

Step2: Compare \(k\) values at different \(T\)

Since \(T_2>T_1\) (\(303\ K>293\ K\)) and \(k_2 > k_1\) (\(0.050>0.025\)), as temperature (\(T\)) increases, the rate constant (\(k\)) (which is related to reaction rate) increases.

Answer:

Increasing the temperature increases the reaction rate.