To convert the given measurement from [tex]\(\frac{J}{mol}\)[/tex] to [tex]\(\frac{kJ}{mol}\)[/tex], follow these steps:
1. Identify the given value: We start with [tex]\(71 \frac{J}{mol}\)[/tex].
2. Understand the conversion between Joules and kiloJoules:
- [tex]\(1 \, kJ = 1000 \, J\)[/tex]
- Therefore, [tex]\(1 \, J = \frac{1}{1000} \, kJ\)[/tex]
3. Set up the conversion factor:
- To convert from Joules to kiloJoules, we multiply by [tex]\(\frac{1 \, kJ}{1000 \, J}\)[/tex].
- This conversion factor can be written as [tex]\(0.001 \frac{kJ}{J}\)[/tex].
4. Apply the conversion factor:
[tex]\[
\left( 71 \frac{J}{mol} \right) \cdot \left( 0.001 \frac{kJ}{J} \right)
\][/tex]
5. Perform the multiplication:
[tex]\[
71 \cdot 0.001 = 0.071
\][/tex]
Hence, the missing part of the equation is [tex]\(0.001\)[/tex]. The complete equation is:
[tex]\[
\left(71 \frac{J}{mol}\right) \cdot 0.001 = 0.071 \frac{kJ}{mol}
\][/tex]
So, the final filled-in equation is:
[tex]\[
\left(71 \frac{J}{mol}\right) \cdot 0.001 = 0.071 \frac{kJ}{mol}
\][/tex]
