Question

A sample of aluminum is placed in a 25 ml graduated cylinder containing 10 mL of water. The level of water rises to 18 mL. Aluminum has a density of 2.7 g/mL. Calculate the mass of the sample
Please include explanation if possible

Answer 1

Answer: The mass of sample is 21.6 grams.

Explanation:

We are given:

Volume of cylinder without object, $V_1$ = 10 mL

Volume of cylinder with object, $V_2$ = 18 mL

Volume of object = $V_2-V_1=18-10=8mL$

To calculate volume of a substance, we use the equation:

$\text{Density of a substance}=\frac{\text{Mass of a substance}}{\text{Volume of a substance}}$

We are given:

Density of sample (aluminum) = 2.7 g/mL

Volume of sample (aluminum) = 8 mL

Putting values in above equation, we get:

$2.7g/mL=\frac{\text{Mass of a sample}}{8mL}\\\\\text{Mass of object}=21.6g$

Hence, the mass of sample is 21.6 grams.

Answer 2

To determine the mass of the sample, first find the volume difference after and before the aluminum was placed, the volume change is equal to the volume of the submerged object, in this case aluminum.

Then knowing volume of aluminum and the density of it, we can solve for the mass.

D = m/v

Dv = m

2.7 g/ml • 8 ml = 21.6 grams.