Question

a 76.00 - lb flask of mercury costs $162.00. the density of mercury is 13.534 g/cm³. determine the price of 1 in³ of mercury by first calculating the following three intermediate values. what is the price of 1 lb of mercury? what is the price of 1 g of mercury? what is the price of 1 cm³ of mercury? what is the price of 1 in³ of mercury? it takes 3.300 in³ of mercury to make one manometer. find the price of the mercury used to make 15 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 15 manometers?

Explanation:

Step1: Calculate price per lb

Divide total cost by total weight.
$ \frac{162}{76}\approx2.13$

Step2: Convert lb to g

1 lb = 453.592 g. Then find price per g.
$ \frac{2.13}{453.592}\approx0.0047$

Step3: Use density to find price per $cm^{3}$

Density is 13.534 g/cm³. Multiply price per g by density.
$0.0047\times13.534 \approx 0.0636$

Step4: Convert $cm^{3}$ to $in^{3}$

1 in³ = 16.3871 cm³. Multiply price per $cm^{3}$ by conversion factor.
$0.0636\times16.3871\approx1.042$

Step5: Find price for one manometer

Multiply price per $in^{3}$ by volume of one manometer.
$1.042\times3.300 = 3.4386$

Step6: Find price for 15 manometers

Multiply price for one manometer by 15.
$3.4386\times15=51.579$

Answer:

Price of 1 lb of mercury: $2.13
Price of 1 g of mercury: $0.0047
Price of 1 $cm^{3}$ of mercury: $0.0636
Price of 1 $in^{3}$ of mercury: $1.042
Price of mercury for one manometer: $3.4386
Price of mercury for 15 manometers: $51.579