A sample of unknown hydrate, AC-XH20, has a mass of 1.000 g before heating and a
mass of 0.781 g after heating. If the molar mass of the anhydrous compound (AC) is
195.5 g/mol, what is the water of crystallization for the formula of the unknown
hydrate?
Type your work for partial credit.
Answer choices: 2, 3, 5, or 6.

Respuesta :

Answer:

The water of crystallization for the formula of the unknown  hydrate is 2.

Explanation:

Mass of an unknown hydrate = 1.000 g

Molar mass of hydrate = 195.5 g/mol

MOles of unknown hydrate =[tex]\frac{1.000 g}{195.5 g/mol}=0.00512 mol[/tex]

Mass of hydrate after heating = 0.781 g

Mass of water lost due to heating = x

[tex]1.000 g = 0.781 g + x\\x = 1.000 g - 0.781 g = 0.219 g[/tex]

Moles of water lost =[tex]\frac{0.219 g}{18.01528 g/mol}=0.0122 mol[/tex]

[tex]AC.xH_2O+Heat\rightarrow AC+xH_2O[/tex]

1 Mole of hydrate has x moles of water and 0.00512 moles of hydrate has 0.0122 moles of water then we can write:

[tex]\frac{1 }{x}=\frac{0.00512 }{0.0122 }\\x\approx 2[/tex]

The water of crystallization for the formula of the unknown  hydrate is 2.