Final answer:
To find the lower bound of the mass of vitamin C per litre of fruit juice, consider the lowest possible amount of vitamin C (732.5 mg) and the highest possible volume of juice (1.455 litres). The calculation yields a lower bound of approximately 503.095 mg/L.
Step-by-step explanation:
To calculate the lower bound of the mass of vitamin C in mg that there could be in 1 litre of fruit juice, we need to consider that all measurements have a level of uncertainty. Since 733 mg is rounded to the nearest milligram, the lowest it could possibly be before rounding is 732.5 mg.
Similarly, the 1.46 litres could be slightly less because it is also rounded to two decimal places (the lower bound would be 1.455 litres, assuming the last digit could be a 5 before rounding).
To find the lower bound per litre, we use the lowest possible amount of vitamin C and the highest possible amount of juice.
The calculation would be as follows:
Lower bound of Vitamin C per litre = Lower bound of total Vitamin C / Upper bound of total volume
= 732.5 mg / 1.455 litres
= 503.095 mg/L (2 dp)
Thus, the lower bound for the concentration of vitamin C in the juice, per litre, is 503.095 mg/L.