You are in space and running out of water. You do have a great deal of magnesium carbonate pentahydrate. It is possible to extract the water from this. Determine the percent of water by mass in the hydrate magnesium carbonate pentahydrate

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Oseni

Answer:

51.65%

Explanation:

Magnesium carbonate pentahydrate is [tex]MgCO_3.5H_2O[/tex]

1 mole of the compound contains 5 moles of water. The water can be extracted by heating the the compound and allowing the water to condense.

[tex]MgCO_3.5H_2O --> MgCO_3 + 5H_2O[/tex]

1 mole of the compound contains 5 moles of water molecule

mole = mass/molar mass

1 mole of the compound weighs: 1 x 174.3903 = 174.3903 g

5 moles of water weighs: 5 x 18.01528 = 90.0764 g

Percentage by mass of hydrate in magnesium carbonate pentahydrate

 = 90.0764/174.3903 x 100%

   = 51.65%

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