Question $10$

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When $1\mathrm{.}00L$ of $1\mathrm{.}00$MBa$(N{O}_3{)}_2$ solution at $25\mathrm{.}0C$ is mixed with $1\mathrm{.}00L$ of $1\mathrm{.}00MN{a}_{2}S{O}_4$ solution at $25\mathrm{.}0C$ in a calorimeter, in a constant$-$pressure calorimeter of negligible heat capacity, the white solid $BaS{O}_4$ forms, and the temperature of the mixture increases to $28\mathrm{.}1C.$ Assume that the densities and specific heats of the solutions are the same as for water and $4\mathrm{.}184\frac{J}{g}*C,$ respectively$).$ Calculate the enthalpy change of reaction per mole of $BaS{O}_4$ formed.

$2\mathrm{.}6{10}^4\frac{J}{m}ol$

$-1\mathrm{.}6{10}^4\frac{J}{m}ol$

$-2\mathrm{.}6k\frac{J}{m}ol$

$-26k\frac{J}{m}ol$