28.03.2023 - 15:00

A 76.00-pound flask of mercury costs $153.50. The density of mercury is 13.534 g/cm3. What is the price of one pound of mercury?

A 76.00-pound flask of mercury costs $153.50. The density of mercury is 13.534 g/cm{eq}^3 {/eq}. What is the price of one pound of mercury?

Answers (1)
  • Anastasi1
    April 8, 2023 в 03:35

    To find the price of one pound of mercury, we need to first convert the given weight of the flask of mercury from pounds to grams, and then find the price of one gram of mercury. Finally, we can convert the price of one gram to the price of one pound.

    Here are the steps to solve the problem:

    1. Convert the weight of the flask of mercury from pounds to grams:

      76.00 pounds = 76.00 x 453.59 grams/pound (1 pound = 453.59 grams)

      = 34,473.84 grams

    2. Calculate the volume of mercury in the flask using its density:

      density of mercury = 13.534 g/cm³

      Volume of mercury = Mass of mercury/Density of mercury

      = 34,473.84 grams / 13.534 g/cm³

      = 2,549.85 cm³

    3. Calculate the price of one gram of mercury:

      Price of 2,549.85 cm³ of mercury = $153.50

      Price of 1 cm³ of mercury = $153.50 / 2,549.85 cm³

      = $0.0602

      Therefore, the price of one gram of mercury is $0.0602.

    4. Convert the price of one gram of mercury to the price of one pound of mercury:

      1 pound = 453.59 grams

      Price of one pound of mercury = Price of one gram of mercury x 453.59

      = $0.0602 x 453.59

      = $27.32

    Therefore, the price of one pound of mercury is $27.32.

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