Anthony T. answered 10/18/20
Patient Science Tutor
According to the balanced reaction, one mole of Ba(SO4) is produced for every mole of Ba(NO3) that reacts. From the given molarities and the volumes of solutions added, you can calculate that 2.31 moles of Na2(SO4) and 1.26 moles of Ba(NO3)2 are reacting. As the reaction stoichiometry is 1 mole to 1 mole of Na2(SO4) and Ba(NO3)2, Ba(NO3)2 is a limiting reactant, so, only 1.26 moles of Ba(SO4) is produced. The heat produced by the reaction goes to raising the temperature of the mixture. The relevant equation is ΔH = c x m x Δt where c is the specific heat capacity of the mixture, m is the mass of the final mixture, and Δt the temperature change. the mass can be found from the relation m = DV where D = the density, V is the final volume in mL. Calculate ΔH and divide by 1.26 moles of Ba(SO4) to get the enthalpy change per mole.
I got 293 kj/mole if I didn't make any math errors.