A 48.71 mL volume of 1.00 M HCl was mixed with 47.19 mL of 2.00 M NaOH in a coffee cup calorimeter (with calorimeter constant = 26.1 J/°C) at 20.69 °C. The final temperature of the aqueous solution after the reaction was 27.02 °C. Assuming that them heat capacity of the solution is 4.18 J/g/°C, calculate the following:
The total mass of aqueous solution inside the calorimeter (dsoln = 1.00 g/mL) =______g
The change in temperature (∆T) of the aqueous solution =________°C
The heat released by the neutralization reaction (this should be a positive number)=_______J
The moles of HCl reacted =_______mol
The enthalpy change (∆H) for the neutralization in kJ/mol HCl ( this should be a negative number)=_______kJ/mol HCl
Answer:
a)
To determine mass
Total volume = 48.71 + 47.19
= 95.9 ml
Now Mass = 95.9 ml * 1g/ml
= 95.9 grams
b)
change in temperature = T2 -T1=
= 27.02 - 20.69
= 6.33 o C
c)
Now Heat = Heat absorbed by the water + heat absorbed by the calorimeter
= 95.9 g * 4.18 K/g o C * 6.33 o C + 26.1 J/oC * 6.33 o C
= 2702.7 J
d)
HCl moles reacted = Molarity * voume of HCl
= 1.00 mol/L * 48.71 *10^-3 L
= 4.87*10^-2 mol
e)
DeltaH = Heat / HCl moles
= - 2702.7/4.87*10^-2
= - 55496.3 J/mol
= - 55.5 KJ/mol
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