Chapter 9, Problem 56E

Consider the reaction

$\text{ 2HCl}\left(\text{aq}\right)\text{ + Ba}{\left(\text{OH}\right)}_{\text{2}}\left(\text{aq}\right)\to {\text{ BaCl}}_{\text{2}}\left(\text{aq}\right){\text{ + 2H}}_{\text{2}}\text{O}\left(\text{l}\right)$

$\text{ΔH= —118kJ}$

Calculate the heat when $\text{100}\text{.0 mL}$ of $\text{0}\text{.500 M HCl}$ is mixed with $\text{300}\text{.0 mL}$ of $\text{0}\text{.100 M Ba}{\left(\text{OH}\right)}_{\text{2}}$ . Assuming that the temperature of both solutions was initially $\text{25}\text{.0°C}$ and that the final mixture has a mass of $\text{400}\text{.0 g}$ and a specific heat capacity of $\text{4}{\text{.18 J °C}}^{\text{-1}}{\text{ g}}^{\text{-1}}$ , calculate the final temperature of the mixture.