In: Chemistry
When 24.0 mL of 0.600 M H2SO4 is added to 24.0 mL of 1.20 M KOH in a coffee-cup calorimeter at 23.50°C, the temperature rises to 30.17°C. Calculate H of this reaction per mole of H2SO4 and KOH reacted. (Assume that the total volume is the sum of the individual volumes and that the density and specific heat capacity of the solution are the same as for pure water: d = 1.00 g/mL and c = 4.184 J/g×K.) H per mole of H2SO4 reacted:
___ kJ/mol
H per mole of KOH reacted:
___kJ/mol
heat released(q) = m*s*DT
m = mass of reaction mixer = 24+24 = 48 g ( density = 1 g/ml)
s = specific heat capacity of the solution = 4.184 j/g.k
DT = 30.17 - 23.5 = 6.67
q = 48*4.184*6.67
= 1339.55 joule
= 1.34 kj
q = - DHrxn = 1.34 kj
DHrxn = -1.34 kj
H2SO4(aq) + 2KOH(aq) ----> K2SO4(aq) + 2 H2O(l)
no of mole of H2SO4 = 24/1000*0.6 = 0.0144 mole
no of mole of KOH = 24/1000*1.2 = 0.0288 mole
Enthalpy per mole of H2SO4 = DHrxn / nH2SO4
= 1.34/0.0144
DH = - 93 kj/mol
Enthalpy per mole of KOH = 1.34/0.0288
DH = - 46.53 kj/mol