(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A thin-walled container of volume 10−3 m3 is evacuated to a pressure of 10−7 mbar. The vessel is surrounded by air at 1 bar and 290 K. If a small hole of area 10−17 m2 is made in the wall of the container, how long does it take the pressure inside to rise to 10−6 mbar?

2. Relevant equations

3. The attempt at a solution

##\frac{dN}{dt}=A\phi = \frac{A<v> N}{4V}##

## \frac{dN}{N}=\frac{A<v>}{4V} t ##

##t=\frac{4V}{A<v>}\ln{\frac{P_2}{P_1}}##

However this requires us to know m and i can't see how to figure this out. Therefore i am assuming my solution is wrong....

Many thanks in advance

**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!

# Effusion changing pressure

Have something to add?

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