Answer:
1 cm³ of the mercury costs $ 0.0568
Cost of 1 pound of the mercury = $ 1.91
Explanation:
Given that:
The mass of mercury = 76.00 pound
Given that:
76.00 pound of the mercury costs $145.00
Or,
1 pound of the mercury costs $145.00 / 76.00
Cost of 1 pound of the mercury = $ 1.91
Also,
[tex]1\ gram=\frac {1}{453.592}\ pound[/tex]
So,
[tex]1\ gram=\frac {1}{453.592}\ pound[/tex] of the mercury costs $[tex]\frac {145.00}{76.00}\times \frac{1}{453.592}[/tex]
Cost of 1 gram of mercury = $ 0.0042
Given that:
The density of the mercury = 13.534 g/cm³
Mass = 1 gram
Considering,
Density = Mass / Volume
So,
Volume = Mass / Density = 1 gram / 13.534 g/cm³ = 0.0739 cm³
1 gram comprise of 0.0739 cm³ of the mercury
So,
0.0739 cm³ of the mercury costs $ 0.0042
1 cm³ of the mercury costs $ 0.0042 / 0.0739 = $ 0.0568
