First let us calculate the moles of K2Cr2O7 that was supplied.
moles K2Cr2O7 = 0.0010 M * 0.0083 L = 8.3x10^-6 mol
From the chemical formula itself, we see that there are 7 O for every mole of K2Cr2O7 or 3.5 O2. Therefore:
moles O2 = 8.3x10^-6 mol K2Cr2O7 * (3.5 mol O2 / 1 mol K2Cr2O7)
moles O2 = 2.905x10^-5 mol O2
Calculating for the mass of O2 in mg:
mass O2 = 2.905x10^-5 mol O2 * (32 g / mol) * (1000 mg / g)
mass O2 = 0.9296 mg
Therefore the chemical oxygen demand (COD) is:
COD = 0.9296 mg / (0.025 L)
COD = 37.184 mg/L