Threshold energy (TE), internal energy of reactants (IE) and energy of activation (AE) vA are related as

Options

A. AE = TE + IE
B. TE = AE + IE
C. IE = AE - TE
D. TE = AE = IE

Explanation

To solve the question regarding the relationship between threshold energy (TE), internal energy of reactants (IE), and activation energy (AE), we can follow these steps:

### Step 1: Understand the Definitions
- **Threshold Energy (TE)**: This is the minimum amount of energy required for a reaction to occur. It is the energy needed to initiate the reaction.
- **Internal Energy of Reactants (IE)**: This is the energy contained within the reactants before the reaction takes place.
- **Activation Energy (AE)**: This is the additional energy required to convert the reactants into products. It is the energy barrier that must be overcome for the reaction to proceed.

### Step 2: Visualize the Energy Profile Diagram
Draw an energy profile diagram where:
- The y-axis represents energy.
- The x-axis represents the progress of the reaction from reactants (R) to products (P).
- Mark the internal energy of the reactants (IE) at the starting point.
- Mark the internal energy of the products (P) at the end point.
- Indicate the activation energy (AE) as the energy difference between the reactants and the peak of the energy barrier.
- The threshold energy (TE) is the total energy required to reach the peak.

### Step 3: Establish the Relationship
From the energy profile:
- The total energy at the peak (TE) can be expressed as:
\[ TE = IE + AE \]
This equation shows that the threshold energy is the sum of the internal energy of the reactants and the activation energy required to reach the transition state.

### Step 4: Conclusion
Therefore, the relationship between threshold energy, internal energy of reactants, and activation energy can be summarized as:
\[ TE = IE + AE \]