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