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Sayid recorded the temperatures of four substances in a chart.

Temperatures of Four Substances

\begin{tabular}{|l|l|}
\hline
Substance & Temperature ([tex]${ }^{\circ} C$[/tex]) \\
\hline
W & 12 \\
\hline
[tex]$X$[/tex] & -18 \\
\hline
Y & 9 \\
\hline
[tex]$Z$[/tex] & \\
\hline
\end{tabular}

Which conclusion is best supported by the data?

A. The particles in substance W have a greater average kinetic energy than the particles in substance Z.
B. The particles in substance X have a greater average kinetic energy than the particles in substance Z.
C. The particles in substance W have a lower average kinetic energy than the particles in substance X.
D. The particles in substance Z have a lower average kinetic energy than the particles in substance Y.



Answer :

Based on the given temperatures for substances W, X, and Y, and without a specific temperature provided for substance Z, we can analyze and compare the kinetic energies of the particles in these substances.

Here's a step-by-step explanation of how the correct conclusions are reached:

1. The particles in substance W have a greater average kinetic energy than the particles in substance Z.
- Since there is no specific temperature mentioned for substance Z, it is not possible to conclusively determine if the kinetic energy of particles in W is greater than in Z. The conclusion is indeterminate because of the lack of data for Z; thus, it is noted as having an unknown outcome (-1).

2. The particles in substance X have a greater average kinetic energy than the particles in substance Z.
- Similar to the above comparison, without a specific temperature for Z, it is impossible to conclude if particles in X have greater kinetic energy than those in Z. Thus, this conclusion also remains indeterminate (-1).

3. The particles in substance W have a lower average kinetic energy than the particles in substance X.
- We know the temperature of W is 12°C and the temperature of X is -18°C. Comparing these, since 12°C is higher than -18°C, it indicates that the particles in substance W would have a higher, not lower, kinetic energy compared to substance X. Hence, this conclusion is incorrect (0).

4. The particles in substance Z have a lower average kinetic energy than the particles in substance Y.
- Without a specific temperature value for Z, we can't conclusively determine if the particles in Z have lower kinetic energy compared to Y, which has a temperature of 9°C. Therefore, this conclusion remains indeterminate (-1).

Summarizing the analysis:
- Conclusion 1: Indeterminate due to unknown temperature for Z (-1)
- Conclusion 2: Indeterminate due to unknown temperature for Z (-1)
- Conclusion 3: Incorrect as the particles in W would have higher kinetic energy, not lower (0)
- Conclusion 4: Indeterminate due to unknown temperature for Z (-1)

Thus, the supported answers based on the detailed step-by-step analysis will be:
```
(-1, -1, 0, -1)
```

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