Question

Mercury is a liquid metal having a density of 13.6 g/mL. What is the volume of 1.50 lb of mercury metal? 1kg = 2.2 lbs
Hint: Convert lbs to kg to g then solve for volume.
a: 19.9 mL
b: 50.1 mL
C: 11.0 mL
D: 33.4 ml

Answer 1

Answer:

The answer is option B

Explanation:

The denisty of a substance can be found by using the formula

$Density(\rho) = \frac{mass}{volume}$

Making volume the subject we have

$volume = \frac{mass}{Density}$

From the question

Density = 13.6 g/cm³

mass = 1.50 lbs

We must first convert the lbs to grams in order to solve

That's

if 2.2 lbs = 1 kg

Then 1.50 lbs = $\frac{1.5}{2.2}$

= 0.681 kg

If 1 kg = 1000 g

Then 0.68 kg = 0.681 × 1000 = 681g

So the mass = 681 g

Substitute the values into the above formula and solve for the volume

That's

$volume = \frac{681}{13.6}$

= 50.0735

We have the final answer as

50.1 mL

Hope this helps you