Chemistry
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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*](https://content.bartleby.com/qna-images/question/fe7bd5a3-664e-4976-a633-316155fccc96/b6967f4b-a4f6-4c25-b6ec-c884b8974ed8/cy5ebe_processed.png)
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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