A 76.00-pound flask of mercury costs $164.50. The density of mercury is 13.534 g
ID: 790697 • Letter: A
Question
A 76.00-pound flask of mercury costs $164.50. The density of mercury is 13.534 g/cm3.
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 cubic centimeter of mercury?
What is the price of one cubic inch of mercury?
b) It takes 2.850 cubic inches of mercury to make one manometer. Find the price of the mercury used to make 13 manometers by first calculating the cost of mercury for one manometer.
What is the price of mercury used to make one manometer?
What is the price of mercury used to make 13 manometers?
Explanation / Answer
(a)
i)($164.50 / 76.00 lb)
= $2.16
ii)
= ($164.50) / [ (76.00 lb x 453.6 g / 1 lb)( 1 cm^3 / 13.534g) ]
= $0.06458 / cm^3
about $0.06
iii)
($164.50) / [ (76.00 lb x 453.6 g / 1 lb)( 1 cm^3 / 13.534g)*(1in / 2.54 cm)^3 ]
= $1.058 / in^3
about $1.06
(b)
conversion factors...
2.850 in^3 = 1 manometer
1 in^3 = $1.06... (from problem 1)
then...overall..
13 manometers x (2.850 in^3 / manometer) x ($1.06 / 1 in^3) = $39.27
(i) $ / manometer = (2.850 in^3 / manometer) x ($1.06 / 1 in
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