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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.
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 [tex]cm^{3}[/tex] mercury is [tex]\$ 0.059477[/tex]
cost of 1 [tex]in^{3}[/tex] mercury is [tex]\$ 0.97466[/tex]
cost of 1 pound mercury is [tex]\$ 1.99[/tex]
cost of 1 g mercury is [tex]\$ 0.00439[/tex]
Explanation:
We know, density = [tex]\frac{mass}{volume}[/tex]
1 pound =453.6 g
So, mass of 76.00 pound mercury = [tex](76.00\times 453.6)g=34473.6g[/tex]
So, volume of 34473.6 g mercury = [tex]\frac{34473.6g}{13.534g/cm^{3}}[/tex]= 2547.2 [tex]cm^{3}[/tex]
So, cost of 2547.2 [tex]cm^{3}[/tex] mercury is [tex]\$ 151.50[/tex]
Hence cost of 1 [tex]cm^{3}[/tex] mercury is [tex]\frac{\$ 151.50}{2547.2}=\$ 0.059477[/tex]
1 [tex]cm^{3}[/tex] = 0.061024 [tex]in^{3}[/tex]
So, cost of 0.061024 [tex]in^{3}[/tex] mercury is [tex]\$ 0.059477[/tex]
Hence, cost of 1 [tex]in^{3}[/tex] mercury is [tex]\frac{\$ 0.059477}{0.061024}=\$ 0.97466[/tex]
Cost of 76.00 pound mercury is [tex]\$ 151.50[/tex]
So, cost of 1 pound mercury is [tex]\frac{\$ 151.50}{76.00}=\$ 1.99[/tex]
Cost of 34473.6 g of mercury is [tex]\$ 151.50[/tex]
So, cost of 1 g mercury is [tex]\frac{\$ 151.50}{34473.6}=\$ 0.00439[/tex]
