For a certain amount of gas at constant temperature, the pressure and volume have an inverse relationship (Figure 1). This is called Boyle's law. Figure P₁V₁ = P₂V₂ Larger volume Lower pressure Smaller volume Higher pressure 1 of 1 ▼ Part A A sample of ideal gas at room temperature occupies a volume the temperature or moles of gas, what is the new volume, V₂? Express the volume numerically in liters. View Available Hint(s) V₂ = Submit Part B [5] ΑΣΦ P₂ = ? IVE ΑΣΦ If the volume of the original sample in Part A (P₁ = 872 torr, V₁ = 33.0 L) changes to 74.0 L, without a change in the temperature or moles of gas molecules, what is the new pressure, P₂? Express the pressure numerically in torr. ▸ View Available Hint(s) 33.0 L at a pressure of 872 torr. If the pressure changes to 4360 torr, with no change in ? L torr

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Chapter1: Chemical Foundations
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### Chapter 8: Introduction to Gases - Attempt 1

#### Pressure and Volume

For a certain amount of gas at constant temperature, the pressure and volume have an inverse relationship, as shown in Figure 1. This is known as Boyle’s Law:

\[ P_1V_1 = P_2V_2 \]

### Figure Description

The figure consists of two cylindrical containers with pistons. The container on the left is labeled "Larger volume, Lower pressure" and has a piston at a higher position, indicating more space and fewer gas particles per unit volume. The container on the right is labeled "Smaller volume, Higher pressure" with a lower piston position, indicating less space and more gas particles per unit volume. The arrows in both figures illustrate the direction of pressure exerted by the gas particles.

### Part A

A sample of ideal gas at room temperature occupies a volume of 33.0 L at a pressure of 872 torr. If the pressure changes to 4360 torr, with no change in temperature or moles of gas, what is the new volume, \( V_2 \)?

**Express the volume numerically in liters.**

\[ V_2 = \_\_\_ \text{ L} \]

*Submit Button Available*

### Part B

If the volume of the original sample in Part A (\( P_1 = 872 \text{ torr}, V_1 = 33.0 \text{ L} \)) changes to 74.0 L, without a change in the temperature or moles of gas molecules, what is the new pressure, \( P_2 \)?

**Express the pressure numerically in torr.**

\[ P_2 = \_\_\_ \text{ torr} \]

*Submit Button Available*
Transcribed Image Text:### Chapter 8: Introduction to Gases - Attempt 1 #### Pressure and Volume For a certain amount of gas at constant temperature, the pressure and volume have an inverse relationship, as shown in Figure 1. This is known as Boyle’s Law: \[ P_1V_1 = P_2V_2 \] ### Figure Description The figure consists of two cylindrical containers with pistons. The container on the left is labeled "Larger volume, Lower pressure" and has a piston at a higher position, indicating more space and fewer gas particles per unit volume. The container on the right is labeled "Smaller volume, Higher pressure" with a lower piston position, indicating less space and more gas particles per unit volume. The arrows in both figures illustrate the direction of pressure exerted by the gas particles. ### Part A A sample of ideal gas at room temperature occupies a volume of 33.0 L at a pressure of 872 torr. If the pressure changes to 4360 torr, with no change in temperature or moles of gas, what is the new volume, \( V_2 \)? **Express the volume numerically in liters.** \[ V_2 = \_\_\_ \text{ L} \] *Submit Button Available* ### Part B If the volume of the original sample in Part A (\( P_1 = 872 \text{ torr}, V_1 = 33.0 \text{ L} \)) changes to 74.0 L, without a change in the temperature or moles of gas molecules, what is the new pressure, \( P_2 \)? **Express the pressure numerically in torr.** \[ P_2 = \_\_\_ \text{ torr} \] *Submit Button Available*
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