A cylinder is filled with 10.0L of gas and a piston is put into it. The initial pressure of the gas is measured to be 287. kPa. The piston is now pushed down, compressing the gas, until the gas has a final volume of 3.60 L. Calculate the final pressure of the gas. Round your answer to 3 significant digits.

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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A cylinder is filled with 10.0 L of gas and a piston is put into it. The initial pressure of the gas is measured to be 287 kPa.

The piston is now pushed down, compressing the gas, until the gas has a final volume of 3.60 L. Calculate the final pressure of the gas. Round your answer to 3 significant digits.

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**Diagram Explanation:**

The diagram shows a simple setup with a cylinder containing gas. A piston is placed on top of the gas within the cylinder. The piston can be pushed down to compress the gas inside, which affects the volume and pressure.

The cylinder is labeled as follows:
- **Gas**: The space within the cylinder, under the piston, containing the gas.
- **Piston**: The device on top of the gas that is used to compress it.
- **Cylinder**: The container that holds the gas and piston.

Next to the diagram, there is a box for entering the pressure in kilopascals (kPa).

---

**Note:** The question seems to prompt a calculation using the principles of gas laws, particularly Boyle's Law, which relates the pressure and volume of a gas at constant temperature. The formula is \( P_1V_1 = P_2V_2 \), where \( P_1 \) and \( V_1 \) are the initial pressure and volume, and \( P_2 \) and \( V_2 \) are the final pressure and volume.
Transcribed Image Text:A cylinder is filled with 10.0 L of gas and a piston is put into it. The initial pressure of the gas is measured to be 287 kPa. The piston is now pushed down, compressing the gas, until the gas has a final volume of 3.60 L. Calculate the final pressure of the gas. Round your answer to 3 significant digits. --- **Diagram Explanation:** The diagram shows a simple setup with a cylinder containing gas. A piston is placed on top of the gas within the cylinder. The piston can be pushed down to compress the gas inside, which affects the volume and pressure. The cylinder is labeled as follows: - **Gas**: The space within the cylinder, under the piston, containing the gas. - **Piston**: The device on top of the gas that is used to compress it. - **Cylinder**: The container that holds the gas and piston. Next to the diagram, there is a box for entering the pressure in kilopascals (kPa). --- **Note:** The question seems to prompt a calculation using the principles of gas laws, particularly Boyle's Law, which relates the pressure and volume of a gas at constant temperature. The formula is \( P_1V_1 = P_2V_2 \), where \( P_1 \) and \( V_1 \) are the initial pressure and volume, and \( P_2 \) and \( V_2 \) are the final pressure and volume.
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