An irregularly shaped metal was weighed by the following difference:
Watch glass + metal = 56.7813 g
Watch glass = 35.4725 g
The volume of the metal was determined by placing the metal in a graduated cylinder that had water in it and measuring the volume difference.
Graduated cylinder + water + metal = 14.15 mL
Graduated cylinder + water = 11.25 mL
The density should be reported as
A)7.348 g/mL.
B)7.35 g/mL.
C)7.4 g/mL.
D)7.3 g/mL.
E)7.3479 g/mL.

Question

Quizplus · Accepted Answer

First, we need to calculate the mass of the metal:

mass of metal = (watch glass + metal) - watch glass
mass of metal = 56.7813 g - 35.4725 g
mass of metal = 21.3088 g

Next, we can calculate the volume of the metal:

volume of metal = (graduated cylinder + water + metal) - (graduated cylinder + water)
volume of metal = 14.15 mL - 11.25 mL
volume of metal = 2.9 mL

Now we can calculate the density:

density = mass of metal / volume of metal
density = 21.3088 g / 2.9 mL
density = 7.3457 g/mL

Since we are given the answer choices to four decimal places, we can round our answer to four decimal places as well:

density = 7.3457 g/mL ≈ 7.35 g/mL

Therefore, the best choice is B.

An Irregularly Shaped Metal Was Weighed by the Following Difference