(adsbygoogle = window.adsbygoogle || []).push({}); Is this correct? -- Gas Law Question

1. The problem statement, all variables and given/known data

The cylinder in the figure has a moveable piston attached to a spring. The cylinder's cross sectional area is 10 cm^2 and it contains .005 mol of gas. The spring constant is 1500 N/m. At 16 degrees Celsius, the spring is neither stretched nor compressed. How far is the spring compressed when the gas temperature is raised to 160 degrees Celsius?

2. Relevant equations

3. The attempt at a solution

P1/T1 = P2/T2

16 degrees C = 289 K 160 degrees C = 433 K

10cm^2 * (1m/100cm)^2 = .001 m^2

Since the spring is not exerting any force on the piston initially, the pressure inside the cylinder is equal to the air pressure (1 atm = 101300 Pa)

(101300 Pa)/(289K) = P2/(433 K)

P2=151775 Pa and P2= (1500N/m)x/(.001 m^2) + (101300 Pa)

x=.034 m = 3.4 cm

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Is this correct? - Gas Law Question

**Physics Forums | Science Articles, Homework Help, Discussion**