A 40.15 gram sample of a hydrate of Na2SO4 was heated thoroughly in a porcelain crucible, until its weight remained constant. After heating, 21.27 grams of the anhydrous compound remained. What is the formula of the hydrate?

Respuesta :

Answer:

The formula of the hydrate of the sodium sulfate is :[tex]Na_2SO_4.7H_2O[/tex]

Explanation:

Mass of hydrated sodium sulfate = 40.15 gram

Mass of completely dehydrated sodium sulfate = 21.27 gram

Mass of water molecules present in hydrated sodium sulfate =x

40.15 gram =  21.27 gram + x (Law of conservation of mass)

x  = 40.15 gram - 21.27 gram = 18.88 g

Moles of water = [tex] \frac{18.88 g}{18 g/mol}= 1.04mol[/tex]

Moles of sodium sulfate =[tex]\frac{21.27 g}{142.04 g/mol}=0.1497 mol[/tex]

Whole number ratio of sodium sulfate and water:

Sodium sulfate =[tex]\frac{0.1497 mol}{0.1497 mol}=1[/tex]

Water =[tex]\frac{1.04 mol}{0.1497 mol}=6.9 a\\rox 7[/tex]

The formula of hydrate be [tex]Na_2SO_4.7H_2O[/tex]

So, the formula of the hydrate of the sodium sulfate is :[tex]Na_2SO_4.7H_2O[/tex]

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