A student dissolves of (molar enthalpy of solution ) in of water initially at

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

Problem

A student dissolves

0.050\,\text{mol}

\mathrm{NH_4NO_3}

(molar enthalpy of solution

\Delta H_{\text{sol}} = +25.7\,\text{kJ mol}^{-1}

) in

150\,\text{g}

of water initially at

22.0^{\circ}\text{C}

. Assuming no heat is lost to the surroundings and that the specific heat capacity of water is

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

, what is the final temperature of the water? (a)

24.0^{\circ}\text{C}

(b)

22.0^{\circ}\text{C}

(c)

20.0^{\circ}\text{C}

(d)

19.3^{\circ}\text{C}