https://file.aiquickdraw.com/mathbot/file/17269586039048e4w8rz3.jpg

The equation in the image is meant to convert energy units from joules (J) per mole to kilojoules (kJ) per mole.

The equation starts with \(15 \, \frac{\text{J}}{\text{mol}}\), and the student is trying to convert it into kilojoules per mole (\( \frac{\text{kJ}}{\text{mol}} \)). 

The missing part in the equation would be the conversion factor from joules to kilojoules. Since:

\[
1 \, \text{kJ} = 1000 \, \text{J}
\]

The conversion factor from joules to kilojoules is \( \frac{1 \, \text{kJ}}{1000 \, \text{J}} \).

### Step-by-step process:

1. Start with the given value: 
   \[
   15 \, \frac{\text{J}}{\text{mol}}
   \]
2. Multiply by the conversion factor to convert from joules to kilojoules:
   \[
   \left(15 \, \frac{\text{J}}{\text{mol}} \right) \times \left(\frac{1 \, \text{kJ}}{1000 \, \text{J}} \right)
   \]
3. The joules (J) cancel out, leaving:
   \[
   15 \times \frac{1}{1000} \, \frac{\text{kJ}}{\text{mol}} = 0.015 \, \frac{\text{kJ}}{\text{mol}}
   \]

Thus, the missing part in the equation is \( \frac{1 \, \text{kJ}}{1000 \, \text{J}} \), and the final result for the unknown (?) is \( 0.015 \, \frac{\text{kJ}}{\text{mol}} \).

Let me know if you'd like more details or have any questions! Here are some related questions:

1. How do you convert between other units of energy, such as calories and joules?
2. What are some real-world examples of when you need to convert joules to kilojoules?
3. Why is the conversion factor between joules and kilojoules exactly 1000?
4. Can you explain the difference between energy units like joules and kilojoules in thermodynamics?
5. How does the molar quantity affect energy calculations in chemistry?

### Tip:
Always check the units when converting—canceling out units is a good way to ensure the correctness of the final answer!

A student sets up the following equation to convert 15 J/mol to kJ/mol. Fill in the missing part of this equation.

This problem demonstrates how to convert 15 J/mol to kJ/mol using the conversion factor 1 kJ = 1000 J. The step-by-step guide covers important concepts in unit conversion, specifically within the context of energy measurements in chemistry.

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