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The chart shows the temperatures of four different substances.

[tex]\[
\begin{tabular}{|l|c|}
\hline
Substance & \begin{tabular}{c}
Temperature \\
(degrees Celsius)
\end{tabular} \\
\hline
W & 22 \\
\hline
$X$ & 18 \\
\hline
$Y$ & 35 \\
\hline
$Z$ & 24 \\
\hline
\end{tabular}
\][/tex]

Another substance has less kinetic energy than substance [tex]$Z$[/tex] but more kinetic energy than substance [tex]$X$[/tex]. What could be the temperature of this substance in degrees Celsius?

A. 15
B. 18
C. 20
D. 25

Sagot :

GinnyAnsweridn
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.
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