The concept of Enthalpy, from General to Physical Chemistry
I plan on doing a series where I extrapolate upon some concepts that are introduced in general chemistry, or rather explain the basis for them, in a broadly summarized terms of physical chemistry....with the aid of my Atkins companion of course.
When I first came into my physical chemistry course, I was pretty excited about the prospect of getting to know exactly what 'energy' was, I wanted to impress people (women, in particular) by becoming a wise guru in the topic. However, as the session went on, it became apparent that my grade in the course would not be dependent on such a gratifying endeavor, but rather my ability to succinctly comprehend and manipulate mathematical equations objectively. The class went very well, and I came to the realization that 'energy' with respect to heat, PV, electrical parameters, quantum mechanics, etc..... is not unique. Intimacy is not allowed in thermodynamics.
There is no such thing as the study of q, the study of pV, in and of themselves, the reward of assessing the forms of equations which contain them have specific rewards, which aren't grandiose. q is a variable at best, and isn't better then H (Enthalpy) or vice versa. So there's no point in asking what is 'q' rather 'q' can be dH, dU, PV or any combination thereof, there is no 'universal' or 'arbitrary' when it comes to thermodynamics. Any conceptual basis that are formed before actually being trained in the physical chemistry of thermodynamics must be disregarded in its entirety.
The most common variable in thermodynamics is temperature. There are so many ways to link an experimental situation to measuring temperature, however, it is often indirect. In a research grade calorimetry experiment (employing a research grade calorimeter) the temperature change of the water is deemed to be from the caloric content of the "food" source or fuel. In general chemistry, students are taught to equate the 'q' from the calorimeter with the internal energy. Yes, enthalpy can be connected soley to an open system setup right? Not really, or rather, not thermodynamically. The change in the number of mole equivalence that results from a reaction inside the calorimeter can generate a value in the dnRT component of the change in enthalpy equation. The change in the nRT state is equivalent to the change in the PV state, and thus the enthalpy is changed.

Image taken from http://chemlab.truman.edu/CHEM120Labs/Calorimetry.htm
All variables are relevant, unless the value is zero (please correct me on this if I'm being erroneous).
Enthalpy, H, is U+PV
dH, then is equal to H+dH=(U+dU)+(p+dp)(V+dV)=U + dU + pV + pdV + Vdp +dpdV
Enthalpy looks pretty useless right? Well, a lot of these forms of equations do in physical chemistry. A really smart individual (perhaps Ed Witten) could comprehend such equations with a good deal of appreciation. Each of us have our own levels of Eureka moments. As far as becoming famous is concerned, Ed Whitten would have to condense such equations to a nice simple form that can be useful to someone who doesn't know a lot of math or physics. The better one can do this, the more useful it is going to be in the industry since the significance of the equation and implications can be applied on a mass scale. So there's discovery for ya, it's all for the greater good.
dpdV is the product of two infintestimal quantities and is therefore not included.......
H+dH=H+dU+pdV+Vdp
thus dH=dU+pdV+Vdp
We now substitute dU=dq+dw into this equation,
dH=dq+dw+pdV+Vdp
If the situation is where dw=-pdV,
dH=dq+Vdp
if dp is constant (a constant pressure situation), then
dH=q
The enthalpy is not constant in a calorimeter if the change in the mole equivalence leads to an increase in the relative amount of gases, changing the final PV state from that of the initial one.
Links
http://exploration.grc.nasa.gov/education/rocket/enthalpy.html
During the past few days, I've witnessed people drinking beer or buying beer during the daytime, for instance, I saw a couple of hispanic individuals buying a big can of beer along with their lunch while paying for fuel at a gas station. Also, it isn't uncommon for people in the construction business to have a can of beer when they're not in the skylines aligning humongous pieces of metal together to form the frame outline of what's going to be a novel building.







