Answered

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

AFind the price of one cubic inch of mercury by calculating the following intermediate values.

What is the price of one pound of mercury? =$1.99 What is the price of one gram of mercury? =$4.39x10^-3 What is the price of one cubic centimeter of mercury?

What is the price of one cubic inch of mercury?

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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:

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 \(\frac{\$ 151.50}{34473.6}=\$ 0.00439\)

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