- #1

cy19861126

- 69

- 0

## Homework Statement

A cylinder has its lid connected to a spring with k = 2000 N/m. The cylinder is filled with 5.00 L of gas witht he spring relaxed at a pressure of 1.00 atm and a temperature of 20.0C. (a) If the lid has a cross-sectional area of 0.0100 m2 and negligible mass, how high will the lid rise when the temperature is raised to 250C? (b) What is the pressure of the gas at 250C. Diagram of this picture is attached

## Homework Equations

PV = nRT

F = PA

F = -kx

## The Attempt at a Solution

In looking that the diagram, I identified three forces experted on the spring. The normal force by the air, spring force and weight force. Since mass is neglitable, there is only the spring and normal force. Therefore, my equation came out as:

N = S

PA = kx

Just by looking at the question, I know we have A and k given in the question, and what we are looking to solve is x. Therefore, in an attempt to get P, I used the ideal gas law:

P1V1 / T1 = P2V2 / T2

1atm * 5.00L / 293K = P2V2 / 523K

P2V2 = 8.92J

Now what do I do? In order to get pressure, I need volume, which is an unknown at this moment... Any clue or help would be useful, thanks!

#### Attachments

Last edited: