Hi all,(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Sphere particle dissolution, volume loss vs time

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