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conservation of energy
energy lost by the system = energy gained by its surroundings (ΔE system = -ΔE surroundings)
chemical energy
when ΔEsystem is negative the system loses energy and heat/work to the surroundings
when ΔEsystem is positive the system gains energy as heat/work from the surroundings
work & energy
work performed by or on the system is energy transfer that results in macroscopic changes in the system
w = -PΔV
ΔEsystem = q + w
quantifying heat
(heat) q = m x c x ΔT
convention
if energy flows into the system, it has a positive sign because the system’s energy is increasing
if energy leaves the system, it has a negative sign because the system’s energy is decreasing
constant-volume process
ΔV = 0
change in internal energy is equal to the heat exchanged
constant-pressure process
ΔH = ΔE + PΔV
under constant pressure, the heat exchanged is defined as the enthalpy (H)
enthalpy = most useful state function for constant pressure processes
enthalpy
qp = heat flow at constant pressure
ΔE = qp + w
w = -PΔV
therefore: ΔE = qp - PΔV = ΔH - PΔV
ΔH = ΔE + PΔV
enthalpy change of a reaction (1)
if sign of ΔH is positive: reaction is endothermic (surroundings will cool in the reaction)
if the sing of ΔH is negative: reaction is exothermic (the surroundings will warm up)
enthalpy change of a reaction (2)
ΔH = ∑ (ΔH bonds broken) + ∑ (ΔH bonds formed)
ΔH is always positive for breaking bonds and negative for forming them
endothermic reactions = positive ΔH → strong bonds break & weak bonds form
exothermic reactions = negative ΔH → weak bonds break & strong bonds form
conditions of constant volume and constant pressure
under constant pressure conditions some of the energy released is to do work on the surroundings by expanding against it → less energy is manifested as heat
under constant volume conditions all of the energy released is evolved as heat
ex. if the same mass of a fuel is combusted under the 2 conditions, the reaction that produces a smaller heat (kJ) corresponds to constant pressure & a larger heat corresponds to constant volume
specific heat capacity
the quantity of heat needed to raise the temperature of 1g of a substance by 1°C
when substances are equal in mass…
objects with a low specific heat capacity need to absorb less heat energy to increase in temperature
objects with a high specific heat capacity need to absorb more heat energy to increase in temperature