Step-by-step explanation:
Total volume of the solution is as follows.
19 ml + 19 ml = 38 ml
As, density is the mass divided by volume.
Mathematically, Density =
![(mass)/(volume)](https://img.qammunity.org/2020/formulas/chemistry/high-school/dvtqubogo1678uo3zrcgjlzitrt65zyves.png)
Now, calculate the mass of solution as follows.
mass of solution = Density × volume
= 1.00 g/ml × 38 ml
= 38 g
Specific heat of the solution is 4.184 J/g°C.
Relation between heat energy, mass, specific heat and temperature change temperature as follows.
Q =
![m * C * \Delta T](https://img.qammunity.org/2020/formulas/chemistry/high-school/2f2k7cia9imu17c911f96krsun8r8wzncw.png)
=
![38 g * 4.184 J/g^(o)C * (38 - 27.3)^(o)C](https://img.qammunity.org/2020/formulas/chemistry/high-school/5ywlp3jnmcke6kvjy22apvo8ksx38hulay.png)
= 1701.21 J
Now, milimoles = molarity × volume
=
![1.4 M * 19 ml](https://img.qammunity.org/2020/formulas/chemistry/high-school/27wl118z3nzctlc8c6i6ynk3yn7qbvdeh7.png)
= 26.6 mmol
Enthalpy of neutralization is as follows.
![(1701.21 J)/(26.6 mmol)](https://img.qammunity.org/2020/formulas/chemistry/high-school/cwccyc0yra703a0y1t8nbdbl9xep13gslr.png)
= 63.95 J/mmol
or, = 64 J/mmol
Thus, we can conclude that the enthalpy of neutralization in Joules/mmol for given solution is 64 J/mmol.