In: Chemistry
In a constant-pressure calorimeter, 60.0 mL of 0.320 M Ba(OH)2 was added to 60.0 mL of 0.640 M HCl. The reaction caused the temperature of the solution to rise from 23.05 °C to 27.41 °C. If the solution has the same density and specific heat as water (1.00 g/mL and 4.184 J/g·°C, respectively), what is ΔH for this reaction (per mole of H2O produced)? Assume that the total volume is the sum of the individual volumes.
total volume = 60 + 60 = 120ml
mass of solution = volume * density
= 120*1 = 120g
q = mcT
= 120*4.184*(27.41-23.05) = 2189J
Ba(OH)2 + 2HCl ------------------> BaCl2 + 2H2O
no of moles of Ba(OH)2 = molarity*volume in L
= 0.32*0.06 = 0.0192 moles
no of moles of HCl = molarity*volume in L
= 0.64*0.06 = 0.0384 moles
2 moles of Hcl produce 2 moles of H2O
0.0384 moles of HCl produce 0.0384 moles of H2O
heat energy released = 2189/0.0384 = -57005J/mole =- 57.005KJ/mole