Answer to Question #173009 in Physics for Louis

Question

 An empty graduated cylinder weighs 75g. When filled with 50ml of an unknown liquid it weighs 125g.  What is the density of the liquid?

a. 1.00 g/mL b. 1.67 g/mL c. 2.50 g/mL d. 4.00 g/mL

Answer 1

Since the mass of the empty cylinder is 75g, and the mass of the filled cylinder is 125g, the mass of the liquid is:

$$m = 125g-75g = 50g$$

Let $V = 50ml$ be the volume of the liquid. By definition, the density of any substance is:

$$\rho = \dfrac{m}{V}$$

Substituting the values, obtain:

$$\rho = \dfrac{50g}{50ml} = 1\space g/ml$$

Answer. a. 1.00 g/mL.