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Calorimetry

Experimental measurement of heat changes

  • Coffee cup calorimeter: Constant pressure (q = DeltaH)
  • Bomb calorimeter: Constant volume (q = DeltaE)

Heat Capacity

(C):** Energy required to raise temperature by 1 K

  • Specific heat capacity (c): Energy for 1 gram by 1 K
  • Molar heat capacity: Energy for 1 mole by 1 K

Heat Transfer Direction

Heat flows spontaneously from hotter to colder object

  • Thermal equilibrium: same final temperature
  • First Law: ΔE=q+w\Delta E = q + w (energy conserved)

Specific Heat Capacity

q=mcΔTq = mc\Delta T

  • q = heat (J)
  • m = mass (g)
  • c = specific heat (J/g - K)
  • DeltaT = temperature change

Heat Of Reaction

Enthalpy change (ΔH\Delta H) for chemical reaction

  • Exothermic: releases heat (ΔH<0\Delta H < 0)
  • Endothermic: absorbs heat (ΔH>0\Delta H > 0)

q=mcΔTq=mc\Delta T Calculations

Heat gained by one object equals heat lost by another (insulated system): qcalorimeter+qsolution+qreaction=0q_{calorimeter} + q_{solution} + q_{reaction} = 0

Heat Of Fusion And Vaporization

Phase change: q=mLq = mL

  • L = latent heat (J/g)
  • Heat of fusion: solid -> liquid
  • Heat of vaporization: liquid -> gas

Bond Enthalpies

ΔH=(bonds broken)(bonds formed)\Delta H = \sum \text{(bonds broken)} - \sum \text{(bonds formed)}

  • Breaking bonds: endothermic (+)
  • Forming bonds: exothermic (-)

Enthalpy Of Formation (ΔHf)

Enthalpy change when 1 mole of compound forms from elements in standard states

  • ΔHfdegrees\Delta H_f degrees for elements in standard states = 0

ΔHdegreesrxn=nΔHdegreesf(products)nΔHdegreesf(reactants)\Delta H degrees _{rxn} = \sum n\Delta H degrees _f(\text{products}) - \sum n\Delta H degrees _f(\text{reactants})

Adding Reactions And Enthalpy Changes

Hess's Law: Overall enthalpy change is sum of enthalpy changes for individual steps

  • Can combine reactions algebraically
  • If reaction reversed, change sign of ΔH\Delta H
  • If reaction multiplied, multiply ΔH\Delta H by same factor