\begin{tabular}{|c|c|}
\hline Pressure(torr) & Volume [tex]$( mL )$[/tex] \\
\hline 750 & 30 \\
\hline 950 & 22 \\
\hline 1150 & 19 \\
\hline 1350 & 15 \\
\hline 1500 & 13 \\
\hline 1650 & 10 \\
\hline
\end{tabular}

Which statement accurately represents the relationship between pressure and volume?

A. As pressure increases, volume increases.

B. As pressure decreases, volume decreases.

C. As pressure increases, volume decreases.

D. As pressure increases, volume stays constant.



Answer :

To determine the relationship between pressure and volume from the given data, follow these steps:

1. Observe the values of pressure with their corresponding volume:
- When the pressure is 750 torr, the volume is 30 mL.
- When the pressure is 950 torr, the volume is 22 mL.
- When the pressure is 1150 torr, the volume is 19 mL.
- When the pressure is 1350 torr, the volume is 15 mL.
- When the pressure is 1500 torr, the volume is 13 mL.
- When the pressure is 1650 torr, the volume is 10 mL.

2. Notice the trend:
- As the pressure increases from 750 to 950 torr, the volume decreases from 30 to 22 mL.
- As the pressure continues to increase to 1150 torr, the volume decreases to 19 mL.
- This pattern continues with pressure increasing to 1350, 1500, and 1650 torr while the volume decreases to 15, 13, and 10 mL respectively.

3. Analyze the options:
- "As pressure increases, volume increases." This is not correct because we observe the volume decreasing as pressure increases.
- "As pressure decreases, volume decreases." This is not correct because we do not have enough data to make this determination with pressure decreasing.
- "As pressure increases, volume decreases." This is correct because our observations confirm that with increasing pressure, the volume consistently decreases.
- "As pressure increases, volume stays constant." This is not correct because the volume changes as the pressure increases.

From the analysis above, the statement that accurately represents the relationship between pressure and volume is:

As pressure increases, volume decreases.