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mass of Epsom salt sample before heating =M1= 5.469g
Mass of Epsom salt sample after heating = M2= 2.671g
Moles of water of hydration=?
Mass of water in the washing soda sample= M1-M2
Mass of water in the washing soda sample= 2.798g
Moles of water= mass of water in washing soda sample/ molecular mass of water
Moles of water = 0.1554mol
Moles of MgSO4 after heating = M2/molecular mass of MgSO4
Moles of MgSO4 after heating = 0.0221mol
Since the number of moles of each is not a whole number, we need to find the whole number ratio by dividing each by the smaller of the two:
Moles of MgSO4 = 0.0221/0.0221
Moles of MgSO4 = 1.00
Moles of water = 0.1554/0.0221
Moles of water= 7.0316
Since the ratio of moles of hydrated washing soda to water of hydration is 1 : 7, the formula would read MgSO4 ∙7H2O, and the value of "x" is 7.
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