- #1
hammal
- 3
- 0
Hi all,
it might be a silly question, but my math is "a bit" rusty.
I want to find the equation of the volume lost during the dissolution of a sphere particle as function of time:
A=area of sphere
V=volume of sphere
t=time
k=dissolution rate as volume dissolved over area time
A=(4/pi) r^2
V=(4/3)pi r^3
Volume change from dissolution Vloss=kAt
what I know is:
d_V/d_r=4 pi r^2
d_A/d_r=(8/pi) r
d_V/d_t=kA
but from here I don't know how to find V(t), so data I can plot the volume against time or integrate it to get the amount of volume lost against time.
Please any help is much appreciated.
it might be a silly question, but my math is "a bit" rusty.
I want to find the equation of the volume lost during the dissolution of a sphere particle as function of time:
A=area of sphere
V=volume of sphere
t=time
k=dissolution rate as volume dissolved over area time
A=(4/pi) r^2
V=(4/3)pi r^3
Volume change from dissolution Vloss=kAt
what I know is:
d_V/d_r=4 pi r^2
d_A/d_r=(8/pi) r
d_V/d_t=kA
but from here I don't know how to find V(t), so data I can plot the volume against time or integrate it to get the amount of volume lost against time.
Please any help is much appreciated.