\begin{tabular}{|c|c|}
\hline
Pressure (torr) & Volume (mL) \\
\hline
750 & 30 \\
\hline
950 & 25 \\
\hline
1150 & 22 \\
\hline
1350 & 19 \\
\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 correct statement that describes the relationship between pressure and volume, let's examine the given data carefully.

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

Notice the data points of pressure and corresponding volumes:

- At 750 torr, the volume is 30 mL.
- At 1150 torr, the volume is 22 mL.
- At 1350 torr, the volume is 19 mL.
- At 1500 torr, the volume is 13 mL.
- At 1650 torr, the volume is 10 mL.

Now, let's observe the trends from these points:

- From 750 to 1150 torr, the volume decreased from 30 mL to 22 mL.
- From 1150 to 1350 torr, the volume decreased from 22 mL to 19 mL.
- From 1350 to 1500 torr, the volume decreased from 19 mL to 13 mL.
- From 1500 to 1650 torr, the volume decreased from 13 mL to 10 mL.

Based on this data, we can see a clear pattern: as the pressure increases, the volume decreases. This inverse relationship between pressure and volume is consistent with Boyle's Law in physics and chemistry, which states that the pressure of a gas tends to increase as the volume decreases, provided the temperature is constant.

Therefore, the correct statement that accurately represents the relationship between pressure and volume based on the given data is:

As pressure increases, volume decreases.