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QUESTION IMAGE

hcl + naoh → nacl + h₂o 25.0 ml of 1.00 m hcl is added to 75.0 ml of 1.…

Question

hcl + naoh → nacl + h₂o
25.0 ml of 1.00 m hcl is added to
75.0 ml of 1.00 m naoh. the
resulting temperature change is an
increase of 8.65 °c.
csol = 4.20 j/g °c dsol = 1.02 g/ml
masssoln = 102 g qrxn = −3,710 j 0.0250 mol reacted
what is the enthalpy of reaction?
δhrxn = ? kj/mol
enter either a + or - sign and the magnitude.

Explanation:

Step1: Recall enthalpy formula

The enthalpy of reaction ($\Delta H_{rxn}$) is given by the heat of the reaction ($q_{rxn}$) divided by the moles of reactant that reacted ($n$), i.e., $\Delta H_{rxn}=\frac{q_{rxn}}{n}$.

Step2: Substitute values

We know $q_{rxn} = - 3710\ J=-3.710\ kJ$ (since $1\ kJ = 1000\ J$) and $n = 0.0250\ mol$.
So, $\Delta H_{rxn}=\frac{-3.710\ kJ}{0.0250\ mol}$.

Step3: Calculate the value

$\frac{-3.710}{0.0250}=-148.4\ kJ/mol$. Since the reaction is exothermic (temperature increases), the sign is negative.

Answer:

-148 kJ/mol (or -148.4 kJ/mol depending on precision)