An object with a mass of 7.5 g raises the level of water in a graduated cylinder from 25.1 mL to 30.1 mL. What is the density of the object?

1 Answer
Jul 8, 2017

$\rho = 1.50 \cdot g \cdot m {L}^{-} 1$

Explanation:

By definition, ${\rho}_{\text{density"="Mass"/"Volume}}$, and thus it typically has the units $g \cdot m {L}^{-} 1$; in this example your $7.5 \cdot g$ mass displaces a $5.0 \cdot m L$ of water, and thus........

$\rho = \frac{7.5 \cdot g}{\left(30.1 - 25.1\right) \cdot m L} = 1.50 \cdot g \cdot m {L}^{-} 1$.......