Final answer:
To determine the volume of a liquid given the mass and density, you use the density equation rearranged to solve for volume (V = m / d). By plugging in the given mass (5.0 grams) and density (1.40 grams per liter), the volume of the liquid in the beaker is approximately 3.57 liters.
Step-by-step explanation:
To solve this problem, we'll use the formula for density (d), which is defined as the mass (m) divided by the volume (V) of the substance. The formula for density is often represented as d = m / V. Given the density of the liquid is 1.40 grams per liter (g/L) and the mass is 5.0 grams, we need to find the volume.
First, we should rearrange the density formula to solve for volume:
V = m / d
Next, let's insert the values we know into the equation:
V = 5.0 grams / 1.40 grams per liter
The units of grams cancel out, leaving us with the volume in liters:
V = 5.0 / 1.40 liters
V ≈ 3.57 liters
Therefore, the volume of the liquid in the beaker is approximately 3.57 liters.