Question

A water filled vertical u-tube manometer is used to measure pressure changes in a reaction vessel. Assuming that the change in height of the manometer can be measured to a precision of 1/16" of an inch, how accurately can pressure changes (in psi) be measured?

Answer 1

The pressure will be measured to a precision of 0.073 psi.

Step-by-step explanation:

Since the relation between the measurement of pressure and height is given by

`dP=\rho gh`

For water we have

`\rho _(water)=62.4lb/ft^3`

`g=32.17ft/s^2`

Applying the given values we get

`dP=62.4* 32.17* (1)/(16* 12)=5.433lb/ft^2\\\\=(10.455)/(144)lb/in^2=0.073psi`