Answer
0.00295 M
Work Step by Step
One cup has 123mg of ascorbic acid C6H8O6. The volume of one cup is 236.6mL. The concentration here is 123mg/236.6mL = 0.5199 mg/mL. First we convert this to g/L as follows:
0.5199mg/mL * (1000mL/L) * (1g/1000mg) = 0.5199 g/L
Now we need to convert this to moles so we need the molar mass of C6H8O6:
C has a mass of 12 so 6*12 = 72
H has a mass of 1 so 8*1 = 8
O has a mass of 6 so 16*6 = 96
96 + 8 + 72 = 176 g/mol
Then we take the 0.5199g/L and divide by the molar mass:
0.5199g/mL * (1mol/176grams) = 0.00295 mol/L