Orange juice clams that 200ml of their product contains 2.5 times the average daily allowance of Vitamin C. Calculate the average daily allowance of vitamin c (in mg) if the orange juice contains 0.040% (w/v) of vitamin C.

0.04% means 0.04g/100 mL (w/v) so in 200 mL that is 0.08g or 80 mg.

So 2.5*X = 80
X = ?

32

To find the average daily allowance(M) of Vitamin C in mg, we need to know the volume of the average daily allowance in ml and the concentration of Vitamin C.

Given that 200ml of the orange juice contains 2.5 times the average daily allowance of Vitamin C, we can set up the following equation:

200ml = 2.5M

Now, we need to find the concentration of Vitamin C in the orange juice. The concentration is given as 0.040% (w/v), which means there are 0.040g of Vitamin C in 100ml of the orange juice.

To convert the concentration from percentage to grams per ml, we divide 0.040% by 100:

0.040% / 100 = 0.0004

So, the concentration of Vitamin C in the orange juice is 0.0004g/ml.

Now we can substitute the concentration and the volume (200ml) into the equation:

0.0004g/ml * 200ml = 2.5M

Simplifying the equation:

0.08g = 2.5M

To find M, we divide both sides of the equation by 2.5:

0.08g / 2.5 = M

M ≈ 0.032g

Finally, to convert grams to milligrams, we multiply 0.032g by 1000:

M ≈ 32mg

Therefore, the average daily allowance of Vitamin C is approximately 32mg.