If you have 55 samples (including standards and blanks) and want to spike in 20 uL in to each, you would need 1.1 mL of SIL-IS solution.
If you need 1.1 mL of SIL-IS solution, you will need to derivatize more than 0.883 mL of SW (Voli) so that when you add the reagents in the derivatization process (24.5% of the initial volume) the final derivatized volume is greater than 1.1 mL. You want to round this number up, here we have chosen to round up to 2 (Voli), but this is a little excessive, but you do want to be sure you have adequate amounts. The total volume post-derivatization will be 2.490 mL (Volt).
Suppose you want to spike in 20 uL SIL-IS mix to equate to a total of 5 ng SIL-IS in each sample, and the total volume of SIL-IS you are making (including reagents) is 2490 uL. In that case, your concentrated spike solution needs to have 622.5 ng total standard in the 2 mL SW/standard mix solution we plan to derivatize. This equates to 311.25 ng/mL. Thus, the stock solution you pull from must be greater than 200 ng/mL concentration to remain within your 2 mL volume constraint. If you can do this from your secondary or tertiary stocks you can, but in this case our secondary and tertiary stocks are not adequate to make this solution.
In order to get 622.5 ng from our 10 ug/mL and 20 ug/mL primary mix stocks we will need 62.3 uL from each of the 10 ug/mL mixes and 31.1 uL from each of the 20 ug/mL mixes. This volume of standard added equates to 342.5 uL so you will need an additional 1,657.5 uL of seawater matrix to get to your 2 mL total volume that you will derivatize.
Ns - number of samples including blanks and standards
Volsp - volume of SIL-IS spike to add to each samples (uL)
Vold - minimum volume needed of SIL-IS solution (mL)
Voli - total volume you will derivatize to make your SIL-IS (mL)
0.803 - constant needed to equate for reagents added during derivatization
Volt - total volume of SIL-IS after derivatization (mL)
Ci - initial concentration of your solution to derivatize to make your SIL-IS (ng/mL)
Cst - concentration of the stock solution diluted to make your SIL-IS (ng/mL)
Volst - volume of stock solution added (uL)
ΣVolst - sum of the volumes of all stock solutions added if multiple (uL)
Volm - volume of seawater matrix (mL)