Let's analyze the given problem step-by-step to determine the temperature of the substance that meets the specified conditions.
1. Identify the Reference Temperatures:
From the chart provided:
- The temperature of substance [tex]\(Z\)[/tex] is [tex]\(24^\circ\)[/tex] Celsius.
- The temperature of substance [tex]\(X\)[/tex] is [tex]\(18^\circ\)[/tex] Celsius.
2. Set the Conditions:
- The substance we are looking for should have a temperature less than [tex]\(24^\circ\)[/tex] Celsius (the temperature of substance [tex]\(Z\)[/tex]).
- It should also have a temperature greater than [tex]\(18^\circ\)[/tex] Celsius (the temperature of substance [tex]\(X\)[/tex]).
3. Evaluate the Given Temperature Options:
The temperature options provided are:
- [tex]\(15^\circ\)[/tex] Celsius
- [tex]\(18^\circ\)[/tex] Celsius
- [tex]\(20^\circ\)[/tex] Celsius
- [tex]\(25^\circ\)[/tex] Celsius
Now, we need to check which of these options satisfy both conditions:
- A temperature of [tex]\(15^\circ\)[/tex] Celsius is less than [tex]\(18^\circ\)[/tex] Celsius, so it does not meet the condition of being more than [tex]\(18^\circ\)[/tex] Celsius.
- A temperature of [tex]\(18^\circ\)[/tex] Celsius is equal to [tex]\(18^\circ\)[/tex] Celsius, so it does not meet the condition of being more than [tex]\(18^\circ\)[/tex] Celsius.
- A temperature of [tex]\(20^\circ\)[/tex] Celsius is more than [tex]\(18^\circ\)[/tex] Celsius and less than [tex]\(24^\circ\)[/tex] Celsius, so it meets both conditions.
- A temperature of [tex]\(25^\circ\)[/tex] Celsius is more than [tex]\(24^\circ\)[/tex] Celsius, so it does not meet the condition of being less than [tex]\(24^\circ\)[/tex] Celsius.
4. Conclusion:
The only temperature value among the options that satisfies both conditions (less than [tex]\(24^\circ\)[/tex] Celsius and more than [tex]\(18^\circ\)[/tex] Celsius) is [tex]\(20^\circ\)[/tex] Celsius.
Therefore, the temperature of the substance that has less kinetic energy than substance [tex]\(Z\)[/tex] but more kinetic energy than substance [tex]\(X\)[/tex] is [tex]\(20^\circ\)[/tex] Celsius.
