Question

709 pounds Hg=______ liters Hg

Answer 1

Answer:

23.6 L

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:

$709 lb Hg\cdot \frac{453.59 g}{1 lb}\cdot \frac{1 mL}{13.6 g}\cdot \frac{1 L}{1000 mL} = 23.6 L$