Question

The density of mercury is 13.6 g/cm3. What is the mass in pounds of 1.0 gallons of mercury? (1 lb = 453.6 g; 1 gal = 3.785 L)

Answer 1

Answer:

1.1 × 10² lb

Explanation:

First, we will convert 1.0 gallons to cm³ using the following relations.

• 1 gal = 3.785 L

• 1 L = 10³ mL

• 1 mL = 1 cm³

$1.0 gal.\frac{3.785L}{1gal} .\frac{10^{3}mL}{1L} .\frac{1cm^{3} }{1mL} =3.8\times 10^{3} cm^{3}$

The density (ρ) is equal to the quotient between the mass (m) and the volume (V). The mass corresponding to 3.8 × 10³ cm³ is:

3.8 × 10³ cm³ × 13.6 g/cm³ = 5.2 × 10⁴ g

1 pound is equal to 453.6 grams. The pounds corresponding to 5.2 × 10⁴ grams are:

5.2 × 10⁴ g × (1 lb/453.6 g) = 1.1 × 10² lb

Answer 2

The mass in pounds of 1.0 gallons of mercury is mathematically given as

Mb= 1.1 × 10² lb

What is the mass in pounds of 1.0 gallons of mercury?

Question Parameter(s):

The density of mercury is 13.6 g/cm3.

Generally,1.0 gallons to cm^3 is mathematically given as

$1.0 gal.\frac{3.785L}{1gal} .\frac{10^{3}mL}{1L} .\frac{1cm^{3} }{1mL}$

1.0 gallons to cm^3=3.8* 10^{3} cm^{3}

Therefore, The mass of 3.8 × 10³ cm³ is:

M= 3.8 × 10^3 cm³ × 13.6 g/cm³

M = 5.2 × 10^4 g

In conclusion,The amount of pounds giving 5.2 × 10⁴ grams

Mb=5.2 × 10⁴ g × (1 lb/453.6 g)

Mb= 1.1 × 10² lb

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