# Measuring pressure using a manometer.

1. Aug 2, 2013

Problem:
1. The pressure of a gas cell is measured with a mercurcy manometer. The mercury is 32.6 cm higher in the outside arm than in the arm connected to the gas cell. Calculate the gas pressure.

Relevant equations/given data
2. p(Pressure at depth h) = p(Pressure of atmosphere) + ρ(Density of liquid)*g(Gravitionational acceleration)*h
Pressure of atmosphere = 1atm = 101,300Pa. Density of mercury = 13,600kg/m^3

Attempted solution
3. p(gas) = p(Pressure of atmosphere) + ρ(Density of liquid)*g(Gravitionational acceleration)*h
p(gas) = 101,300 + (13600*9.8*0.326) = 144749.28Pa = 144.75kPa. I have the solution and it says the answer should be 149.5kPa. Have I done something wrong, or is the solution incorrect?

2. Aug 3, 2013

### sonnyfab

Your calculation is exactly correct. The answer is the book is for a mercury height of 36.2cm. Is there any chance that you misread the problem and got the 6 and 2 backwards? If not, don't spend any more time thinking about it, you know what you are doing and the answer key had a typo.

Dr Peter Vaughan
BASIS Peoria Physics

3. Aug 3, 2013