To calculate the density of the rock, follow these steps:
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Determine the volume of the rock: The initial water level in the graduated cylinder is 50 mL, and after placing the rock, the water level rises to 70 mL. The volume of the rock is the difference in water levels:
\[ \text{Volume of the rock} = 70 , \text{mL} - 50 , \text{mL} = 20 , \text{mL} \] -
Find the mass of the rock: The mass of the rock is given as 100 g.
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Calculate the density of the rock: Density is defined as mass divided by volume. Use the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Plugging in the values:
\[ \text{Density} = \frac{100 , \text{g}}{20 , \text{mL}} = 5 , \text{g/mL} \]
Thus, the final density of the rock is 5 g/mL.