Calculate the grams of sugar present in a 355mL can of soda if the water in the can weighs 355g and the density of the soda is 1.10g/mL.
First thing’s
first, we need to find the mass of the whole can, and then utilizing the
density, ρ, and the volume given which is 335 mL. After
doing so, you need to subtract the mass of the water from the mass of the whole
can. Here’s the simplified equation in answering the problem.
mass of
sugar = (355 mL*1.10 g/mL)-335g
mass of
sugar = 55.5g
The mass of sugar=55.5g.
Given:
Total mass( sugar+ water)= 355g
Density= 1.10g/mL
It is defined as the ratio of mass over volume.
\(\text{Density}=\frac{\text{Mass}}{\text{Volume}} \\\\\text{Volume}=\text{Density}*\text{Mass}\\\\\text{Volume}=1.10g/mL*355g\\\\\text{Volume}=390.5 mL\)
Thus, the total volume of the soda can comes out to be 390.5mL.
Using w/w ratio we can convert mL into g.
We will simply subtract the volume/mass of water in order to get mass of sugar from the calculated volume/mass of soda can:
Mass of sugar = (390.5g)-335g
Mass of sugar = 55.5g
Find more information about "Density" here:
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