Question

A 76.00-pound flask of mercury costs $151.50. The density of mercury is 13.534 g/cm3.

Answer 1

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Please see below solution:

1 lb Hg x (151.50/76 lb) = cost of 1 lb. 
cost 1 lb x (1g/453.6 g) = cost of 1 g.

Answer 2

Answer:

cost of 1 $cm^{3}$ mercury is $\ 0.059477$

cost of 1 $in^{3}$ mercury is $\ 0.97466$

cost of 1 pound mercury is $\ 1.99$

cost of 1 g mercury is $\ 0.00439$

Explanation:

We know, density = $\frac{mass}{volume}$

1 pound =453.6 g

So, mass of 76.00 pound mercury = $(76.00\times 453.6)g=34473.6g$

So, volume of 34473.6 g mercury = $\frac{34473.6g}{13.534g/cm^{3}}$= 2547.2 $cm^{3}$

So, cost of 2547.2 $cm^{3}$ mercury is $\ 151.50$

Hence cost of 1 $cm^{3}$ mercury is $\frac{\ 151.50}{2547.2}=\ 0.059477$

1 $cm^{3}$ = 0.061024 $in^{3}$

So, cost of 0.061024 $in^{3}$ mercury is $\ 0.059477$

Hence, cost of 1 $in^{3}$ mercury is $\frac{\ 0.059477}{0.061024}=\ 0.97466$

Cost of 76.00 pound mercury is $\ 151.50$

So, cost of 1 pound mercury is $\frac{\ 151.50}{76.00}=\ 1.99$

Cost of 34473.6 g of mercury is  $\ 151.50$

So, cost of 1 g mercury is $\frac{\ 151.50}{34473.6}=\ 0.00439$