# Energy
All chemical reactions involve changes in energy as well as [[matter]].
There are many other useful forms of energy that are available through chemical reactions other than combustion
## Units of Energy
calories (c)
joules (J)
work (w)
- Temperature: The measurement of heat in matter
- Heat: The speed of particles
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> [!info] Heat Capacity
> $ q = m \cdot C \cdot \Delta T $
>
> $m$ = Mass
> $C$ = Heat Capacity
> $\Delta T$ = Change in Temperature
$ q_{reaction} + q_{solution} = 0 $
$ -q_A = q_B $
## Enthalpy
- **state function:** a property of a system that depends only on the state of the system
- **path function:** a property of a system that depends on the path by the system achieved a particular state
$\Delta H$ = Change in Enthalpy
## Entropy
[[Entropy]]
## Spontaneity
> [!info] General Definition of "Spontaneous"
> **spon·ta·ne·ous** *adj.*: performed or occurring as a result of a sudden inner impulse or inclination and without premeditation or external stimulus.
A **spontaneous process** occurs under a given set of conditions.
- A spontaneous reaction doesn't necessarily mean an instantaneous reaction.
- Spontaneous processes occur in order to decrease the energy of a system
A **nonspontaneous process** will not take place unless it is driven by the continual input of energy from an external source.
> The **spontaneity** *(spon·ta·ne·i·ty)* of a process is ***not*** correlated to its speed.
## Free Energy
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### Free Energy and Chemical Equilibrium
> [[Chemical Equilibria]]
During the course of a chemical reaction, not all the reactants and products will be at their standard states. Under this condition, the relationship between $\Delta G$ and $\Delta G \degree$, which can be derived from
$\Delta G = \Delta G \degree + RT \cdot ln(Q)$
- $R$ is the gas constant ($8.314 \frac{J}{K \cdot mol}$)
- $T$ is the absolute temperature (K)
- $Q$ is the reaction quotient
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> [!question]+ Practice: Calculating an Equilibrium Constant using Standard Free Energy
> a
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> > [!check]-
> > the answer is: