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What is the relationship between the rate constant k and temperature T according

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Question: What is the relationship between the rate constant k and temperature T according to the Arrhenius equation?

Options:

  1. k increases with decreasing T
  2. k decreases with increasing T
  3. k increases with increasing T
  4. k is independent of T

Correct Answer: k increases with increasing T

Solution: 

According to the Arrhenius equation, k increases with increasing temperature due to the exponential dependence on the negative activation energy divided by temperature.

What is the relationship between the rate constant k and temperature T according

Practice Questions

Q1
What is the relationship between the rate constant k and temperature T according to the Arrhenius equation?
  1. k increases with decreasing T
  2. k decreases with increasing T
  3. k increases with increasing T
  4. k is independent of T

Questions & Step-by-Step Solutions

What is the relationship between the rate constant k and temperature T according to the Arrhenius equation?
  • Step 1: Understand that the Arrhenius equation relates the rate constant (k) to temperature (T).
  • Step 2: The Arrhenius equation is written as k = A * e^(-Ea/(RT)), where A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin.
  • Step 3: Notice that as temperature (T) increases, the value of -Ea/(RT) becomes less negative.
  • Step 4: Since the exponential function e^x increases as x increases, a less negative value means that e^(-Ea/(RT)) increases.
  • Step 5: Therefore, as temperature increases, the rate constant (k) also increases.
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