Question

In the lab, a student fills a dry 100 mL graduated cylinder with 75.0 mL of water. The mass of the water in the graduated cylinder was 75.595 grams at 25°C. What is the true volume of the water measured in the graduated cylinder? The density of water at 25°C is 0.99707 g/mL.

Answer 1

75.82 mL

Step-by-step explanation:

We are given that

Volume of graduated cylinder=100 mL

Volume of water in graduated cylinder=75 mL

Temperature=
`25^(\circ)`

Mass of water in the graduated cylinder=75.595 g

Density of water=
`0.99707 g/mL`

We have to find the true volume of the water.

We know that density =
`(mass)/(volume)`

Substitute the values in the given formula

`0.99707=(75.595)/(volume)`

`Volume=(75.595)/(0.99707)=75.82 mL`

Hence, the volume of water=75.82 mL.

Answer 2

The volume of the water that is filled in the graduated cylinder is calculated by dividing the given mass of the water by its density. That is,

V = m / D

where V is volume, m is mass, and D is density. Substituting the known values,

V = (75.595 grams) / (0.99707 g/mL) = 75.82 mL

Answer: 75.82 mL