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 282. kPa. The piston is now pushed down, compressing the gas, until the gas has a final volume of 4.40 L. Calculate the final pressure of the gas. Be sure your answer has the correct number of 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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**Transcription for Educational Website**

**Gas Compression in a Cylinder**

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 282. kPa.

The piston is now pushed down, compressing the gas, until the gas has a final volume of 4.40 L. Calculate the final pressure of the gas. Be sure your answer has the correct number of significant digits.

**Diagram Explanation:**

The diagram shows a cylinder containing gas. A piston is depicted at the top of the cylinder, with arrows indicating its position and movement. "Piston" and "cylinder" are labeled to clarify the illustration. The cylinder is sealed, which signifies that compression will affect the gas's pressure inside the container.

**Calculation Area:**

At the bottom, there is a form field labeled "kPa" which is where the final pressure is to be calculated and entered. There are options to confirm, reset, or access help regarding the calculation process.

To solve this, you can use Boyle’s Law, which states that \( P_1 \times V_1 = P_2 \times V_2 \), 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:**Transcription for Educational Website** **Gas Compression in a Cylinder** 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 282. kPa. The piston is now pushed down, compressing the gas, until the gas has a final volume of 4.40 L. Calculate the final pressure of the gas. Be sure your answer has the correct number of significant digits. **Diagram Explanation:** The diagram shows a cylinder containing gas. A piston is depicted at the top of the cylinder, with arrows indicating its position and movement. "Piston" and "cylinder" are labeled to clarify the illustration. The cylinder is sealed, which signifies that compression will affect the gas's pressure inside the container. **Calculation Area:** At the bottom, there is a form field labeled "kPa" which is where the final pressure is to be calculated and entered. There are options to confirm, reset, or access help regarding the calculation process. To solve this, you can use Boyle’s Law, which states that \( P_1 \times V_1 = P_2 \times V_2 \), 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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