Answer:
2,050,000,000,000 mL
Explanation:
To find the volume in mL, you need to (1) convert the mass from µg to g and then (2) calculate the volume (by multiplying the mass by the density). It is important to arrange the conversion in a way that allows for the cancellation of units (the desired unit should be in the numerator). Discrediting the sig figs of the density (because official conversions do not affect sig figs), the final answer should have 3 sig figs like the given mass.
(Step 1)
1 x 10⁻⁶ µg = 1 g
986 µg 1 g
---------------- x -------------------- = 9.86 x 10⁸ g
1 x 10⁻⁶ µg
(Step 2)
9.86 x 10⁸ g 1 mL
----------------------- x ---------------------- = 2.05 x 10¹² mL
4.8 x 10⁻⁴ g
= 2,050,000,000,000 mL
