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y particles and cannot be applied to a single particle.
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because Newton's Laws as applied to macroscopic bodies can only explain energy transferred as work. The typical problem arises when energy is lost as heat due to friction.
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One reason that heat capacities can differ is that a substance may use some of the energy transferred as heat to change the potential energy of the particles that compose it. It can do this by, for example, changing the average distance between the particles. Since some of the added heat is put into potential energy, less can go into the kinetic energy of the particles, so that the change in temperature is smaller. The differences between substances can be accounted for by the difference in
the forces between particles in each substance, or even in simply a different average distance as in the different phases of the same substance.
Note: Even though many substances have van der Waals forces that obey the r-6 potential energy law, the actual depth of the potential well and at what separation it occurs is unique for every material.
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Enthalpy is the name we give to the state function that represents the energy transferred as heat at constant pressure. The change in enthalpy is given by:
(Delta)H = (Delta)E + p(Delta)V
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of the particles in the substance. The most common case of this is during a phase transition, like boiling or freezing.
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