In: Chemistry
A 76.00-pound flask of mercury cost $146.00. The density of mercury is 13.534 g/cm^3.
A) Find the price of one cubic inch of mercury by calculating the following intermediate values.
What is the price of one pound of mercury? What is the price of one gram of mercury? What is the price of one cubic centimeter of mercury? What is the price of one cubic inch of mercury?
76.00-pound flask of mercury cost $146.00
(1) one pound mercury :
76.00-pound mercury--------------------> cost $146.00
1 pound mercury cost = 146/ 76
= $ 1.921
(2) 1 gram mercury cost :
1 pound = 453.592 gram
1 pound cost =$ 1.921
453.592 gram -----------------------> $ 1.921
1 gram cost = $ 1.921 / 453.592
= $ 0.004235
(3) price of one cubic centimeter of mercury:
76 pound = 76 x 453.592 = 34472.99 g
weight = 34472.99 g
density = 13.534 g/cm^3
volume = weight / density
= 34472.99 /13.534
= 2547.14 cm^3
2547.14 cm^3 --------------------> $146.00
1 cm^3 -----------------------> $146.00 / 2547.14 = $ 0.05732
the price of one cubic centimeter of mercury =$ 0.05732
(4) the price of one cubic inch of mercury
1 cubic centimeter = 0.0610 cubic inches
the price of one cubic centimeter of mercury ---------------------> $ 0.05732
0.0610 cubic inches = $ 0.05732
1 cubic inches = $ 0.05732 / 0.0610
1 cubic inche of Hg cost = $ 0.9396 ---------------------------> final answer