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4 votes
An irregularly shaped rock was lowered into a graduated

cylinder containing 5.0 mL of water and the volume of water
rose to 9.5 mL. ? The mass of the rock was then measured to be
32.75 g. What is the density of the rock?

1 Answer

4 votes

Answer:

7.3 g/ml to 2 sig figs

Step-by-step explanation:

Density is defined as unit mass per unit volume. Since the provided date are in ml and grams, let's calculate a density that has units of g/ml.

The irregularly shaped rock was immersed into a graduated cylinder in order to determine its volume. Assuming that there are no air bubbles, we can say the the final volume of the water and rock has increased by the volume of the rock. The water rose from 5.0 to 9.5 ml, so we can conclude that the rock displaced its volume of 4.5 ml. Since the mass of the rock is 32.75 grams, we can calculate density as:

(32.75 g)/(4.5 ml) = 7.277 or 7.3 g/ml to 2 sig figs (from the 4.5 ml sig figs)

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User Jesper Jensen
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