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Strontium oxide reacts with liquid water to produce strontium hydroxide. SrO (s)

ID: 917901 • Letter: S

Question

Strontium oxide reacts with liquid water to produce strontium hydroxide.

SrO (s) +   H2O (l)   Sr(OH)2 (aq)

When 2.18 g of SrO is added to 375.4 mL of water, the temperature of the solution rose from 24.87°C to 26.68°C in a coffee cup calorimeter. Assuming the density of water at this temperature is 1.000 g/mL, the specific heat of the solution is 3.949 J/(ºC•g) and the heat absorbed by the constant pressure calorimeter is negligible, calculate the molar enthalpy (in kJ/mol) for this reaction.  

Please show your work. In order for me to understand. Thanks!

Explanation / Answer

Given the mass of SrO = 2.18 g

Molecular mass of SrO = 103.6 g/mol

Hence moles of SrO = mass / molecular mass= 2.18 g / 103.6 g/mol = 0.02104 mol SrO

Since the temperature of water is increased hence heat is released during the dissolution of SrO(s).

Mass of water = Vlume x density = 375.4 mL x 1.000 g/mL = 375.4 g

specific heat of the solution, s =  3.949 J/(ºC•g)

Now the heat absorbed by water can be calculated as, Q = mxsxdT

= 375.4 g x 3.949 J/(ºC•g) x(26.68 - 24.87) DegC

= 2683 J

Hence heat evolved when 0.02104 mol SrO(s) is dissolved =  2683 J

Now the heat evolved when 1 mole of SRO(s) is dissolved =  (2683 J / 0.02104 mol SrO) x 1 mol SrO

= 127531 J/mol = 127.53 KJ/mol (answer)

Hence molar enthalpy is 127.53 KJ/mol