Question

15.0 mL of an unknown clear liquid is added to a 50 mL graduated cylinder. The mass of the liquid is determined to be 12.7 grams. What is the density of this unknown liquid?

A :0.85 g/mL
B :01.18 g/mL
C :0.847 g/mL
D :1.1811 g/mL​

Answer 1

`\boxed {\tt A. \ d=0.85 \ g/mL}`

Step-by-step explanation:

Density is found by dividing the mass by the volume.

`d=(m)/(v)`

The mass of the liquid is 12.7 grams.

We know that 15 mL of this liquid was added to a 50 mL graduated cylinder. Therefore, the volume is 15 mL. The 50 mL is not relevant, it only tells us about the graduated cylinder.

`m= 12.7 \ g\\v= 15 \ mL`

Substitute the values into the formula.

`d=(12.7 \ g)/( 15 mL)`

Divide.

`d=0.846666667 \ g/mL`

Round to the nearest hundredth. The 6 in the tenth place tells us to round the 4 to a 5.

`d \approx 0.85 \ g/mL`

The density of the liquid is about 0.85 grams per milliliter and choice A is correct.