Let's analyze the relationship between pressure and volume step by step using the 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]
1. Calculate the differences in pressures:
[tex]\[
\begin{aligned}
950 - 750 &= 200 \\
1150 - 950 &= 200 \\
1350 - 1150 &= 200 \\
1500 - 1350 &= 150 \\
1650 - 1500 &= 150 \\
\end{aligned}
\][/tex]
These are the differences between consecutive pressure readings: [tex]\([200, 200, 200, 150, 150]\)[/tex].
2. Calculate the differences in volumes:
[tex]\[
\begin{aligned}
22 - 30 &= -8 \\
19 - 22 &= -3 \\
15 - 19 &= -4 \\
13 - 15 &= -2 \\
10 - 13 &= -3 \\
\end{aligned}
\][/tex]
These are the differences between consecutive volume readings: [tex]\([-8, -3, -4, -2, -3]\)[/tex].
3. Analyze the relationship:
Now, let's determine the relationship between pressure and volume:
- When moving from 750 torr to 950 torr, the volume decreases from 30 mL to 22 mL ([tex]\(-8\)[/tex]).
- When moving from 950 torr to 1150 torr, the volume decreases from 22 mL to 19 mL ([tex]\(-3\)[/tex]).
- When moving from 1150 torr to 1350 torr, the volume decreases from 19 mL to 15 mL ([tex]\(-4\)[/tex]).
- When moving from 1350 torr to 1500 torr, the volume decreases from 15 mL to 13 mL ([tex]\(-2\)[/tex]).
- When moving from 1500 torr to 1650 torr, the volume decreases from 13 mL to 10 mL ([tex]\(-3\)[/tex]).
In all cases, as the pressure increases, the volume consistently decreases.
4. Overall trend:
The overall trend observed is that as the pressure increases, the volume decreases.
Therefore, the accurate statement representing the relationship between pressure and volume is:
As pressure increases, volume decreases.
