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6. Thermochemistry

Nature of energy

thermodynamics: heat in chemistry
energy: the capacity to do work or produce heat
law of conservation of energy: energy cannot be created nor destroyed
first law of thermodynamics: the energy of the universe is always the same
heat: when energy is transferred from one thing to another
hot → cold
enthalpy (ΔH): measuring the transfer of energy/heat
endothermic: heat goes into the system (ΔH is positive)
exothermic: heat leaves the system (ΔH is negative)
know what is in the system and in the surroundings (affects answer)
thermal equilibrium: when you mix two things of different temperatures, heat transfers until they are the same temperature
phase change: changing state
solid → liquid (endothermic)
liquid → gas (endothermic)
gas → liquid (exothermic)
liquid → solid (exothermic)

Calorimetry

calorimetry: measuring heat in chemistry
calorie: amount of joules needed to heat 1 g 1℃
kilocalorie: calorie used in food (1000 cal)
(
)
q: heat (J)
m: mass (g)
ΔT: change in temperature (℃ or K)
C: specific heat capacity (J/g℃)
e.g. H₂O: 4.184 - very high
lower: easier to heat up
constant pressure: q = ΔH

Enthalpy

every compound has its own enthalpy value
all elements: H = 0

Formation

find reactants
balance for one mole of product (may need fractions)
find enthalpy
put heat on appropriate side of reaction based on sign of enthalpy
example: NO₂(g)
N₂(g) + O₂(g)
1 mol of product
1/2 N₂(g) + O₂(g)
ΔH = 34 kJ/mol
positive → endothermic → heat goes on left
34 kJ + 1/2 N₂(g) + O₂(g) → NO₂(g)
example: CH₃OH(l)
C(s) + 2 H₂(g) + 1/2 O₂(g)
ΔH = - 239 kJ/mol
negative → exothermic → heat goes on right
C(s) + 2 H₂(g) + 1/2 O₂(g) → CH₃OH(l) + 239 kJ

Reaction

use formula
4NH₃(g) + 7 O₂(g) → 4 NO₂(g) + 6 H₂O(l)
example: NO₂: NH₃: - 46 kJ/mol, O₂: 0 kJ/mol, 32 kJ/mol, H₂O: - 286 kJ/mol; find ΔH for the reaction
ΔH = ( (4 mol)(34 kJ/mol) + (6 mol)(- 286 kJ/mol) ) - ( (4 mol)(- 46 kJ/mol) + (7 mol)(0 kJ/mol) )
ΔH = - 1396 kJ
example: 8 mol NH₃ and 21 mol O₂. what is the amount of energy released?
limiting reactant
2792 kJ

Hess’s law

many chemical reactions occur in multiple steps
each step has its own enthalpy
Hess’s law: if you add up all the enthalpies of the steps, it will equal the total enthalpy
if you flip the products and reactants in an equation, the ΔH changes sign
if you multiply an equation by a number, the ΔH is multiplied by the same number
example
Screenshot 2024-10-11 at 9.52.09 AM.png
example
Screenshot 2024-10-11 at 9.56.08 AM.png
Screenshot 2024-10-11 at 9.53.10 AM.png
Screenshot 2024-10-11 at 9.54.01 AM.png
Screenshot 2024-10-11 at 9.56.30 AM.png
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