To analyze the relationship between pressure and volume given the data points in the table, we should observe how the volume changes as the pressure changes.
Given data:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Pressure (torr)} & \text{Volume (mL)} \\
\hline
750 & 30 \\
\hline
950 & 22 \\
\hline
1150 & 19 \\
\hline
1350 & 15 \\
\hline
1500 & 13 \\
\hline
1650 & 10 \\
\hline
\end{array}
\][/tex]
Step-by-step analysis:
1. From 750 torr to 950 torr:
- Pressure increases from 750 to 950 torr.
- Volume decreases from 30 to 22 mL.
- Conclusion: As pressure increases, volume decreases.
2. From 950 torr to 1150 torr:
- Pressure increases from 950 to 1150 torr.
- Volume decreases from 22 to 19 mL.
- Conclusion: As pressure increases, volume decreases.
3. From 1150 torr to 1350 torr:
- Pressure increases from 1150 to 1350 torr.
- Volume decreases from 19 to 15 mL.
- Conclusion: As pressure increases, volume decreases.
4. From 1350 torr to 1500 torr:
- Pressure increases from 1350 to 1500 torr.
- Volume decreases from 15 to 13 mL.
- Conclusion: As pressure increases, volume decreases.
5. From 1500 torr to 1650 torr:
- Pressure increases from 1500 to 1650 torr.
- Volume decreases from 13 to 10 mL.
- Conclusion: As pressure increases, volume decreases.
From these observations, we can see a consistent pattern that as the pressure increases, the volume decreases.
Statement analysis:
- "As pressure increases, volume increases." – This is incorrect based on our observations.
- "As pressure decreases, volume decreases." – This statement does not align with our pressure increase observations.
- "As pressure increases, volume decreases." – This is correct and consistent with our observations.
- "As pressure increases, volume stays constant." – This is incorrect as volume consistently decreases with increasing pressure.
Therefore, the accurate statement that represents the relationship between pressure and volume is:
As pressure increases, volume decreases.
