Question

Convert the following quantity from the units given to the units indicated. Give answers to 3 digits.

A) 3.96 g/mL to mg/L
a) 3960 mg/L
b) 396 mg/L
c) 3.96 mg/L
d) 39.6 mg/L

Answer 1

To convert 3.96 g/mL to mg/L, you multiply by 1,000 to convert grams to milligrams and by 1,000 to convert milliliters to liters, resulting in 3,960 mg/L.

Step-by-step explanation:

The question involves converting a density from grams per milliliter (g/mL) to milligrams per liter (mg/L). Since there are 1,000 milligrams in a gram and 1,000 milliliters in a liter, you can convert by multiplying by the squared factor of 1,000 (since we are converting both the mass and volume units), which is 1,000,000.

By performing this conversion:

3.96 g/mL × 1,000 mg/g × 1,000 mL/L = 3,960,000 mg/L.

However, since we need to express the answer in mg/L, we can simplify this to 3,960 mg/L (which is the correct conversion to three significant figures).