Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

$andman asked in Science & MathematicsChemistry · 1 decade ago

How many pounds of road salt per 1000gal of water to lower freeze point to 0 deg F?

1 Answer

Relevance
  • 1 decade ago
    Favorite Answer

    Molal freezing point constant –1.86 °C /molal

    since F changes by 1.8 degrees every time Celsius changes by 1 degree:

    A Molal freezing point constant of –1.858 °C/ molal, is equal to –3.344 °F/ molal

    so let's find the molality that drops the freezing point by 32 degrees to O F:

    dT = Kf (molal)

    -30 F = (-3.344 F / molal) (molality)

    molality = 8.971 molal total

    whoops, since NaCl releases two ions per molecule, you get an 8.971 molal solution by making a 4.486 molar NaCl solution.

    which is good to catch, since 5.8 Molar NaCl is about saturated

    =====================================

    1000 gal @ 3.785 l/gal = 3785 litres water

    3785 litres @ density of water of 1 kg / litre = 3785 kg water

    ===========================

    the molality required is 4.486 molal, which has 4.486 moles of salt per kilogram of solvent:

    3785 kg H2O @ 4.486 moles salt / kg H2O = 16,978 moles of salt

    16,978 moles of salt @ 58.44 g / mol = 992204 grams of salt

    992.2 kg salt @ 2.2046 pounds / kg =2187 pounds of salt

    your answer is 2187 pounds of salt

    I am going to leave the rounding off to sig figs up to you, I am sure that they meant to have more sig figs that the "1000" gallons has, but there is no decimal

    thanks for asking me to recheck this

Still have questions? Get your answers by asking now.