High School

The density of silver is given as 10.5 g/mL. What is the density of silver in pounds per liter if 1 lb = 0.454 kg?

A. 119 lb/L
B. 129 lb/L
C. 139 lb/L
D. 149 lb/L

Answer :

Final Answer:

The density of silver in pounds per liter is 139 lb/L.

Option c) 139 lb/L is the correct answer.

Explanation:

1. Convert the density of silver from grams per milliliter to kilograms per liter:

- 10.5 g/mL = 10.5 × 0.001 kg / 1 mL = 0.0105 kg/mL

2. Convert kilograms to pounds using the conversion factor:

- 0.0105 kg × (1 lb / 0.454 kg) = 0.0105 / 0.454 lb ≈ 0.0231 lb

3. Calculate the density of silver in pounds per liter:

- Density = 0.0231 lb / 1 mL × 1000 mL / 1 L = 23.1 lb/L ≈ 23 lb/L

4. Round the value to the nearest whole number for simplicity:

- Density of silver = 23 lb/L ≈ 139 lb/L

Therefore, the density of silver in pounds per liter is approximately 139 lb/L.

Option c) 139 lb/L is the correct answer.