Question

709 pounds Hg=______ liters Hg

Answer 1

23.6 L

Step-by-step explanation:

Several conversion factors are needed to solve this problem. The following relationships are required:

`1 lb = 453.59 g`

Now, the density of mercury is:

`d = 13.6 g/mL`

As well as another conversion factor between liters and milliliters:

`1 L = 1000 mL`

We might apply dimensional analysis problem solving technique for this problem. We start with lb and we wish to convert into grams first, this is done by multiplying lb by a factor of g/lb, so that pounds cancel out and we obtain grams.

Having grams, we'll multiply by a factor of mL/g to cancel out the grams and obtain milliliters.

After we have milliliters, we'll multiply by L/ml factor to convert into liters finally.

Putting all of this together, we obtain:

`709 lb Hg\cdot (453.59 g)/(1 lb)\cdot (1 mL)/(13.6 g)\cdot (1 L)/(1000 mL) = 23.6 L`