Final answer:
The density of mercury in pounds per cubic inch is 0.491 lb/in³.
Step-by-step explanation:
The density of mercury can be converted from grams per cubic centimeter (g/cm³) to pounds per cubic inch (lb/in³) using a conversion factor. One pound is equivalent to 453.6 grams and one inch is equivalent to 2.54 centimeters. Therefore, the conversion factor from g/cm³ to lb/in³ is:
(13.6 g/cm³) * (1 lb / 453.6 g) * (1 in³ / 16.39 cm³)
Simplifying this expression, we get:
0.491 lb/in³
Therefore, the density of mercury in pounds per cubic inch is 0.491 lb/in³ (Option 4).