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A 1.50 ml sample of KCl is added to 35.0 ml H_2O in a Styrofoam cup and stirred

ID: 1073242 • Letter: A

Question

A 1.50 ml sample of KCl is added to 35.0 ml H_2O in a Styrofoam cup and stirred until dissolved. The temperature of the solution drops from 24.8 to 22.4 degree C. Assume that the specific heat and density of the resulting solution are equal to those of water, 4.18 J/(g C) and 1.00 g/mL, respectively and assume that no heat is lost to the calorimeter itself, nor to the surroundings. Is the reaction endothermic or exothermic (circle the correct answer)? What is the heat of solution of KCl expressed in kilojoules per mole of KCl?

Explanation / Answer

heat absorbed(q) = msDT

m = mass of solution = 35+1.5 = 36.5 g

s = specificheat of solution = 4.184 j/g.c

DT = 24.8 - 22.4 = 2.4 c

q = 36.5*4.184*2.4 = 0.366 kj

as the temperature decreases , it is endothermic

mass of KCl dissolved = d*v

                    = 1*1.5 = 1.5 g

no of mole of KCl = w/mwt = 1.5/74.55 = 0.02 mole

DHsolution = +q/n = 0.366/0.02 = +18.3 kj/mol