A graduated cylinder is filled with 50 mL of water. The mass of the cylinder + water is 77 g. A rock is added to the graduated cylinder, causing the total volume to go up to 87 mL the total mass goes up to 90 g what is the density of the rock.
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Answer:
We're given that the mass of the system before the rock was added was
120
g
. The mass after the rock was added was
250
g
, so the rock's mass is
m
rock
=
m
final
−
m
initial
=
250
l
g
−
120
l
g
=
130
l
g
−−−−−
The initial volume of water in the graduated cylinder was
30
mL
, and the volume after the rock was added read
75
mL
, so the rock's volume is
V
rock
=
V
final
−
V
initial
=
75
l
mL
−
30
l
mL
=
45
l
mL
−−−−−−
The equation for the density of the rock is
density
=
mass
volume
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