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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 (MgCO_3 middot 5H_2O). If your answer is 17%, enter 17, do not put in the percent sign. As an introduction to his class, Severus Snape teaches the first years at Hogwarts about hydrates. He begins with equations representing various dehydrations. Which of the following equations properly represents the dehydration of magnesium carbonate pentahydrate (MgCO_3 middot 5H_2O)?
MgCO_3 middot H_2O MgCO_3 + H_2O MgCO_3 middot 5H_2O
MgCO_3 + 5H_2O MgCO_3 middot 5H_2O MgCO_3 + H_2O
MgCO_3 middot 5H_2O MgCO_3 + 5H_2O

Respuesta :

Answer:

The percent of water by mass in the hydrate magnesium carbonate pentahydrate is 51.72%.

The dehydration of magnesium carbonate pentahydrate is given as:

[tex]MgCO_3.5H_2O\rightarrow MgCO_3+5H_2O[/tex]

Explanation:

Mass of magnesium carbonate pentahydrate = M = 174 g/mol

Number of water crystals = 5

Mass of single water molecule , m= 18 g/mol

Percentage of water by mass in the hydrate magnesium:

[tex]=\frac{5\times m}{M}\times 100[/tex]

[tex]=\frca{5\times 18 g/mol}{174 g/mol}\times 100=51.72\%[/tex]

The percent of water by mass in the hydrate magnesium carbonate pentahydrate is 51.72%.

The dehydration of magnesium carbonate pentahydrate is given as:

[tex]MgCO_3.5H_2O\rightarrow MgCO_3+5H_2O[/tex]

On decomposition of magnesium carbonate pentahydrate 1 mole of magnesium carbonate and 2 moles of water molecules are formed.

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