Finding the unit

Asked Jan 16 '18 at 02:06

Active Jan 16 '18 at 02:10

Viewed 20 times

I have the equation:

And the following units:

for time is the day

for the alfa and p is day^(-1)

for S, s(i) and k is u*mol/L

for X is mm^3/L

I have to find the unit for y but I don't know how to do that, I tried by writing the equation only with units but when to simpify it gives me a strange unit.

edited Jan 16 '18 at 02:10

asked Jan 16 '18 at 02:06

Darius Ionut

2

what is the unit of X? – Atbey Jan 16 '18 at 02:09
@Atbey sorry, I forgot, mm^3/L – Darius Ionut Jan 16 '18 at 02:10
2

Hint: $,S/(S+k),$ is adimensional, thus $,\rho X / y,$ has the same dimension as $,S / t,$. – dxiv Jan 16 '18 at 02:12
@dxiv I tried that now and it gives me: (mm^3) / (day * L) * 1 / y = (u * mol) / (L * day). I don't know how to find y from here – Darius Ionut Jan 16 '18 at 02:18
So you've got something like $,a / y = b,$, all that's left is to write $,y = a / b,$ and simplify. – dxiv Jan 16 '18 at 02:20
@dxiv so it's correct y= umol/mm^3 ? it's a strange unit :)) – Darius Ionut Jan 16 '18 at 02:23
y= umol/mm^3 No, that would be $,1/y,$ instead. – dxiv Jan 16 '18 at 02:26

Finding the unit

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