Which statement accurately represents the relationship between pressure and volume?

Question

As pressure increases, volume increases.
As pressure decreases, volume decreases.
As pressure increases, volume decreases.
As pressure increases, volume stays constant.

The table in the image shows the relationship between pressure and volume, illustrating Boyle’s Law. Here are the key points:

Pressure (torr): 750, 950, 1150, 1350, 1500, 1650
Volume (mL): 30, 22, 19, 15, 13, 10
As the pressure increases from 750 torr to 1650 torr, the volume decreases from 30 mL to 10 mL. This inverse relationship between pressure and volume is a key concept in Boyle’s Law, which states that the pressure of a gas tends to increase as the volume decreases when temperature is constant.

Answer 1

The statement that accurately represents the relationship between pressure and volume, as indicated by Boyle's Law, is:

As pressure increases, volume decreases.

This captures the inverse relationship between pressure and volume: when the pressure on a gas increases, its volume decreases, provided the temperature remains constant.

Answer 2

Use the graph to answer the questions.



At what elevation did Julio begin?



At what elevation did Kathy begin?



Who made it to 8 miles first?



Who experienced a greater elevation change?

The graph shows the elevation (in miles) over time (in hours) for two individuals, Julio and Kathy. Here are the key points:

Julio’s Elevation: Represented by a dashed line, Julio’s elevation increases steadily from the origin, reaching about 8 miles at 20 hours.
Kathy’s Elevation: Represented by a solid line, Kathy’s elevation increases more steeply initially but then levels off, ending at about 6 miles at 20 hours.
This graph compares the elevation gain over time between Julio and Kathy during a hike or climb, showing that Julio’s elevation gain is more consistent, while Kathy’s starts off faster but slows down over time.

Answer 3

Based on the information you've provided about the graph, here are the answers to your questions:

1. At what elevation did Julio begin?
   Julio began at an elevation of 0 miles, as indicated by the origin.

2. At what elevation did Kathy begin?
   Kathy also began at an elevation of 0 miles, as the graph shows her starting point at the origin.

3. Who made it to 8 miles first?
   Julio made it to 8 miles first, reaching that elevation at about 20 hours, whereas Kathy’s maximum elevation is 6 miles.

4. Who experienced a greater elevation change?
   Julio experienced a greater elevation change because he increased from 0 miles to 8 miles, which is a change of 8 miles. Kathy, on the other hand, increased from 0 miles to 6 miles, resulting in a change of 6 miles.

In summary:

• Julio began at 0 miles.
• Kathy began at 0 miles.
• Julio reached 8 miles first.
• Julio experienced a greater elevation change.

Answer 4

At what elevation did Julio begin?
✔ 4 miles



At what elevation did Kathy begin?
✔ 0 miles



Who made it to 8 miles first?
✔ Kathy



Who experienced a greater elevation change?
✔ Kathy

Answer 5

Given your corrections regarding the starting elevations, let's clarify and address your revised answers based on the updated information:

1. At what elevation did Julio begin?
   Julio began at an elevation of 4 miles (as per your correction).

2. At what elevation did Kathy begin?
   Kathy began at an elevation of 0 miles.

3. Who made it to 8 miles first?
   According to your information, Kathy made it to 8 miles first.

4. Who experienced a greater elevation change?
   If both started from their respective elevations (Julio from 4 miles and Kathy from 0 miles) and assuming Julio reached an elevation of 8 miles, his elevation change would be \(8 - 4 = 4\) miles; while if Kathy reached 8 miles, her change would be \(8 - 0 = 8\) miles. This means Kathy experienced a greater elevation change.

To summarize:

• Julio began at 4 miles.
• Kathy began at 0 miles.
• Kathy made it to 8 miles first.
• Kathy experienced a greater elevation change.

Thank you for your patience, and please let me know if you have any further questions!