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What is the heat of hydration of magnesium sulfate, MgSO4, when 45 grams of the anhydrous salt is dissolved in 250 mL of water? The molar heat of hydration of MgSO4 is -138.5 kJ/mol.

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First, we need to determine the number of moles of MgSO4 in 45 grams. The molar mass of MgSO4 is:Mg = 24.3 g/molS = 32.1 g/molO = 16.0 g/mol  and there are 4 oxygen atoms Molar mass of MgSO4 = 24.3 + 32.1 +  4  16.0  = 24.3 + 32.1 + 64.0 = 120.4 g/molNow, we can calculate the number of moles of MgSO4 in 45 grams:moles = mass / molar mass = 45 g / 120.4 g/mol  0.374 molesNext, we can use the molar heat of hydration to find the heat of hydration for 0.374 moles of MgSO4:Heat of hydration = moles  molar heat of hydration = 0.374 moles   -138.5 kJ/mol   -51.8 kJSo, the heat of hydration of 45 grams of magnesium sulfate in 250 mL of water is approximately -51.8 kJ.

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