Math Problem Statement

In a coffee-cup calorimeter, 56.0 mL of 0.100 M AgNO3 and 56.0 mL of 0.100 M HCl are mixed to yield the following reaction. Ag+(aq) + Cl −(aq) → AgCl(s) The two solutions were initially at 23.66°C, and the final temperature is 24.46°C. Calculate the heat that accompanies this reaction in kJ/mol of AgCl formed. Assume that the combined solution has a mass of 112.0 g and has a specific heat capacity of 4.18 J/°C · g. WebAssign will check your answer for the correct number of significant figures. kJ/mol

Solution

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Math Problem Analysis

Mathematical Concepts

Calorimetry
Thermodynamics
Stoichiometry

Formulas

q = m · C · ΔT
ΔT = T_final - T_initial
q (in kJ) = q (in J) / 1000
Moles of AgCl = (Volume of solution in L) × (Concentration in mol/L)

Theorems

Law of Conservation of Energy

Suitable Grade Level

Undergraduate - General Chemistry