2. A gas fills the right portion of a horizontal cylinder whose radius is 5.90 cm. The initial pressure of the gas is 1.01 × 10° Pa. A frictionless movable piston separates the gas from the left portion of the cylinder, which is evacuated and contains an ideal spring, as the figure shows. The piston is initially held in place by a pin. The spring is initially unstrained, and the length of the gas-filled portion is 18.0 cm. When the pin is removed and the gas is allowed to expand, the length of the gas-filled chamber doubles. The initial and final temperatures are equal. Determine the spring constant of the spring. N/m 60 ssf60 SSNO ssf60 ssf60 ssf60 ssf60 Unstrained spring 160 ssf60 st60 ssf60 ss sto ssf60 ssf60 160 ssf60 ssf60 ssf60 ssi 50 ssf60 ssf60 ssf60

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Problem 2:**

A gas fills the right portion of a horizontal cylinder whose radius is 5.90 cm. The initial pressure of the gas is \(1.01 \times 10^5\) Pa. A frictionless movable piston separates the gas from the left portion of the cylinder, which is evacuated and contains an ideal spring, as the figure shows. The piston is initially held in place by a pin. The spring is initially unstrained, and the length of the gas-filled portion is 18.0 cm. When the pin is removed and the gas is allowed to expand, the length of the gas-filled chamber doubles. The initial and final temperatures are equal. Determine the spring constant of the spring.

[Input box for the answer in N/m]

**Diagram Description:**

The diagram shows a horizontal cylinder divided into two sections by a movable piston. On the left side of the piston, there is an ideal spring in an unstrained position. On the right side, the gas is depicted as blue dots filling the chamber. A pin is shown holding the piston in place initially.

The task is to calculate the spring constant once the gas expands and the pin is removed.
Transcribed Image Text:**Problem 2:** A gas fills the right portion of a horizontal cylinder whose radius is 5.90 cm. The initial pressure of the gas is \(1.01 \times 10^5\) Pa. A frictionless movable piston separates the gas from the left portion of the cylinder, which is evacuated and contains an ideal spring, as the figure shows. The piston is initially held in place by a pin. The spring is initially unstrained, and the length of the gas-filled portion is 18.0 cm. When the pin is removed and the gas is allowed to expand, the length of the gas-filled chamber doubles. The initial and final temperatures are equal. Determine the spring constant of the spring. [Input box for the answer in N/m] **Diagram Description:** The diagram shows a horizontal cylinder divided into two sections by a movable piston. On the left side of the piston, there is an ideal spring in an unstrained position. On the right side, the gas is depicted as blue dots filling the chamber. A pin is shown holding the piston in place initially. The task is to calculate the spring constant once the gas expands and the pin is removed.
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