A dilute solution of hydrochloric acid with a mass of 614.86 g and containing 0.33004 mol of HCl was exactly neutralized in a calorimeter by the sodium hydroxide in 619.41 g of a comparably dilute solution. The temperature increased from 15.529 to 19.691°C. The specific heat of the HCl solution was 4.031 J·g-1·°C-1; that of the NaOH solution was 4.046 J·g-1·°C-1. The heat capacity of the calorimeter was 77.99 J·°C-1.
I don't see a question here. I assume you want to calculate the heat of neutralization (in what units?)
To find the heat of neutralization, we can use the formula:
q = mcΔT
Where:
q = heat (in J)
m = mass (in g)
c = specific heat capacity (in J/g·°C)
ΔT = change in temperature (in °C)
First, let's calculate the heat of the hydrochloric acid (HCl):
qHCl = mHCl × cHCl × ΔTHCl
qHCl = 614.86g × 4.031 J·g^(-1)·°C^(-1) × (19.691 - 15.529)°C
Now, let's calculate the heat of the sodium hydroxide (NaOH):
qNaOH = mNaOH × cNaOH × ΔTNaOH
qNaOH = 619.41g × 4.046 J·g^(-1)·°C^(-1) × (19.691 - 15.529)°C
The overall heat change in the calorimeter is given by:
qcalorimeter = -qHCl = -qNaOH
Now, let's calculate qcalorimeter:
qcalorimeter = -(qHCl + qNaOH)
Finally, we can add up the heat changes to find the heat of neutralization:
qneutralization = qHCl + qNaOH
qneutralization = -qcalorimeter
This will give us the heat of neutralization in joules (J).