Question #6e7c7

1 Answer
Aug 18, 2017

See below.

Explanation:

In the Young-Laplace capillary rise equation:

#h=(2Tcos(theta))/(rdg)#

  • #r# is the capillary radius
  • #d# is the density of the fluid (you may also see #rho#)
  • #g# is the gravitational acceleration constant #(9.81"m"//"s"^2)#
  • #T# is the liquid surface tension
  • #h# is the rise
  • #theta# is the contact angle, which was not included in your original equation

Show that the units work out:

  • #(N//m)/(m*(kg)/m^3*m/s^2)#

#=>(N/m)/((kg)/(ms^2))#

#=>((kgm)/s^2)/m*(ms^2)/(kg)#

#=>m#

Meters are a linear unit which will work for the rise of the liquid above the surface #h#.