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iragen
12 days ago
9

If 20.0g of MgSO4⋅7H2O is thoroughly heated, what mass of anhydrous magnesium sulfate will remain?

Chemistry
2 answers:
VMariaS [1K]12 days ago
7 0
We know that:
<span>MgSO4.7H2O + heat = MgSO4 + 7 H2O 
</span>Along with the following:
Molar mass of MgSO₄⋅7H₂O = 246.47 g/mole
Molar mass of anhydrous MgSO₄ = 120.415 g/mole

Consequently,
<span>Mass of anhydrous magnesium sulfate left over = (20 grams of MgSO₄⋅7H₂O) / (246.4746 g/mol of MgSO₄⋅7H₂O) x (1 mole of MgSO₄ / 1 mole of MgSO₄⋅7H₂O) x (120.3676 g/mol of MgSO₄)
                                                                                 = 7.7 grams of MgSO4</span>
KiRa [971]12 days ago
5 0

Answer: 9.8g

Explanation:

This calculation assumes complete removal of water from the compound.

From there, I will determine the mass of the evaporated water and subtract that from the initial 20.0 g sample.

To do this, follow these steps:

1) Calculate the number of moles of hydrated magnesium sulfate, represented as MgSO₄⋅7H₂O

Number of moles = mass in grams / molar mass

The molar mass of MgSO₄⋅7H₂O can be calculated using the atomic masses of its constituent atoms multiplied by the number of each atom present:

Molar mass = 24.305 g/mol + 32.065 g/mol + 4×15.999g/mol + 7×2×1.008g/mol + 7×15.999 g/mol = 246.471 g/mol

Therefore, moles of MgSO₄⋅7H₂O = 20.0g / 246.471 g/mol = 0.0811 moles

2) Now calculate the number of moles of water, using the ratios derived from the chemical formula:

7 moles of H₂O / 1 mole of MgSO₄⋅7H₂O = x / 0.0811 moles of MgSO₄⋅7H₂O

⇒ x = 0.0811 × 7 moles H₂O = 0.568 moles H₂O

3) Convert moles of H₂O to grams:

Number of moles = mass in grams × molar mass = 0.568 moles × 18.015 g/mol = 10.2 g

4) Thus, the remaining mass is 20.0g - 10.2g = 9.8g

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