how do i convert 0.00183338433 g/mL to mM? and putting it in 4 significant numbers. thank u

2 answers

sorry i forgot to put that the chemical formula is C8H14N2O3S
to convert grams to mols you need to know molecular weight from periodic table of each of the elements in the compound.
C = 12.011 g/mol
H = 1.008 g/mol
N = 14.007 g/mol
0 = 15.999 g/mol
S = 32.06 g/mol

each of these numbers indicates how much 1 mol weighs in grams

now in your compound there are 8 Cs, 14 Hs, 2 Ns, 3 Os and 1 S

so 1 mol of your compound weighs
8*12.011 g/mol+
14*1.008 g/mol+
2*14.007 g/mol+
3*15.999 g/mol+
1*32.06 g/mol=
218.271g/mol

0.00183338433 g/mL * (1mol/218.271g) (set it up so the grams cancels and the mols are left)

so 0.00183338433/218.271=8.39958*10^-6mol/mL

now convert to desire units:

8.39958*10^-6mol/mL*(1000mmol/1mol)*(1000mL/1L)
(again set it up so units cancel properly)
1000*1000 = 10^6 which cancels the 10^-6

thus 8.39958mmol/L or in other words 8.39958mM

and finally to four scientific figures
8.400mM