A student mixes of with of in a calorimeter

CHEMISTRY · Single correct · A Level · Chemistry · Energetics · Energetics

Problem

A student mixes

50.0\,\text{mL}

1.00\,\text{M}

\mathrm{HCl}

with

50.0\,\text{mL}

1.00\,\text{M}

\mathrm{NaOH}

in a calorimeter. Both solutions are initially at

24.5^{\circ}\text{C}

. After mixing, the final temperature is

31.2^{\circ}\text{C}

. Assume the combined solution has a density of

1.00\,\text{g mL}^{-1}

and a specific heat capacity of

4.18\,\text{J g}^{-1}\,^{\circ}\text{C}^{-1}

. The calorimeter itself absorbs heat according to its heat capacity of

15.0\,\text{J}\,^{\circ}\text{C}^{-1}

. What is the enthalpy change, in

\text{kJ mol}^{-1}

of water produced, for this neutralization? (a)

+58\,\text{kJ mol}^{-1}

(b)

-30\,\text{kJ mol}^{-1}

(c)

-58\,\text{kJ mol}^{-1}

(d)

-5.8\,\text{kJ mol}^{-1}