Heat Capacity and Calorimetry

AP Chemistry· difficulty 1/5

To determine the heat of neutralization, a student mixes 50.0 mL of 1.00 M HCl with 50.0 mL of 1.00 M NaOH in a polystyrene calorimeter. Initial temperature of both solutions = 21.5 C. Maximum temperature after mixing = 28.2 C. Assume density 1.00 g/mL and specific heat 4.18 J/(g*C). Heat capacity of the calorimeter is negligible.

polystyrene cup thermometer 50.0 mL HCl + 50.0 mL NaOH T_i = 21.5 C T_max = 28.2 C

What is the molar enthalpy of neutralization (delta H) for HCl + NaOH?

  • A

    -112 kJ/mol

  • B

    -56.0 kJ/mol

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  • C

    -2.80 kJ/mol

  • D

    +56.0 kJ/mol

Explanation

q = m<em>c</em>deltaT = 100.0 * 4.18 * 6.7 = 2801 J released. Moles H2O formed = 0.0500 mol. delta H = -2801/0.0500 = -56,020 J/mol = -56.0 kJ/mol.

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