The addition of hydrochloric acid to a silver nitrate solution precipitates silver chloride according to the following reaction:
AgNO3(aq) + HCl(aq) → AgCl(s) + HNO3(aq)
When 50.0 mL of 0.100 mol L−1 AgNO3 is combined with 50.0 mL of 0.100 mol L−1 HCl in a coffee-cup calorimeter, the temperature changes from 23.40 °C to 24.21 °C. Calculate ΔrH for the reaction as written. Use 1.00 g mL−1 as the density of the solution and C = 4.184 J g−1 °C−1 as the specific heat capacity.
q = mc (T2 - T1)
q = 100g (4.184 "(\\frac{J}{gC})") (24.21 - 23.40)C
q = 301 J
Moles AgCl formed = 0.05 L * 0.100 "(\\frac{mole}{J})" = "5*10^{-3}mole"
"\\Delta H_{reaction}" = "\\dfrac{-301J}{5*10^{-3}mole}=6*10^{4}(\\frac{J}{mole})=6\\;(\\frac{kJ}{mole})"
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