A $92\mathrm{.}2mL$ sample of $1\mathrm{.}00$MNaOH is mixed with $46\mathrm{.}1mL$ of $1\mathrm{.}00M{H}_{2}S{O}_4$ in a large Styrofoam coffee cup; the cup is fitted with a lid through which passes a calibrated thermometer. The temperature of each solution before mixing is $22\mathrm{.}25C.$ After adding the NaOH solution to the coffee cup and stirring the mixed solutions with the thermometer, the maximum temperature measured is $31\mathrm{.}70C.$ Assume that the density of the mixed solutions is $1\mathrm{.}00\frac{g}{m}L,$ that the specific heat of the mixed solutions is $4\mathrm{.}18\frac{J}{g^{}C},$ and that no heat is lost to the surroundings.

$4$th attempt

Part $1(1$ point$)$

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Write a balanced chemical equation for the reaction that takes place in the Styrofoam cup. Remember to include phases in the balanced chemical equation.

$\backslash$table$[[2$NaOH$(aq)+H_{2}S{O}_4(aq),$longrightarrow$2H_{2}O(l)+N{a}_{2}S{O}_4(aq)$