# Help me understand these units please!

edited July 2018
I run an assay on my active using an internal standard. So I set the IS against the active and set up the sample set for standards, samples, dilutions etc and the result is working fine but I just don't understand where the method is getting the units of final answer from. Here is the validated calculation:

Area active in sample * Area IS in working standard* Working Std weight(mg) *Sample Volume (mLs) *1000/Average Standard Area in bracketing standards * Area IS in sample *Standard volume (mls) * Standard Dilution * Sampleweight.

I get that its the typical amount calculation in that you are taking response in sample divided by average response in standards and multiplying by concentration of active in your standard in mcg/mL, then taking into account IS area ratio and finally take into account sampleweight of sample and dilution. Incidentally the sampleweight of my sample is in mg. What I don't get is the *1000 part. It states in the method that the reason is "to convert to mg/g" but if you take out the *1000 then surely your results are in mcg/mL. as in the concentration of the standard is in units of mcg/mL. Surely to get back to mg/g you need to DIVIDE by 1000 to get the result in mg/g? Any insight?

I've broken down the formula a bit and I am getting µg/g as the final units from what you have provided for information (µg/mL for std concentrations, mg for sample weight).  I've attached a workup of this since the forum formatting doesn't like equations.

If the standard concentration is being entered as mg/mL which is what your original formula actually implies with the (mg) in it, then that changes things a bit and would result in a mg/g final result.  So, could it really just be as simple as not using µg/mL concentrations and using the mg/mL the "validated" formula states to use?