Matter can possess various thermodynamic properties, which
are observable and measurable. Some are
familiar such as temperature, pressure, and density. Other thermodynamic properties are not so
familiar: enthalpy, entropy, fugacity, specific heat, et al. Thermodynamic properties can be
classified into two general groups: properties that are intensive, and
properties that are extensive. Intensive
properties are thermodynamic properties that are independent of the mass of the
matter under consideration, whereas extensive properties are thermodynamic
properties that are not independent of mass:
intensive – independent; extensive – dependent.
To test whether or not the thermodynamic property of some
matter is intensive or extensive, you simply chop the matter into two equal
pieces. Thermodynamic properties that
stay the same are intensive properties.
Properties whose magnitudes get reduced by half are extensive properties.
Pressure, temperature, and density are intensive
properties. Chopping the matter into two
pieces doesn’t affect its pressure, temperature, or density. Mass, volume, and enthalpy are extensive
properties. If we reduce the amount of
matter, we reduce the magnitude of these properties.
Now it turns out, that you can convert any extensive
property of some lump of matter into an intensive property by simply dividing
that property by the mass of that lump: i.e. you make the extensive property the
numerator, and the lump mass the denominator. You transform that extensive
property into an intensive property.
For example, consider the volume of some lump of matter. The volume is an extensive property. Chop the lump in half, the volume of each
half goes down. But what if you divide
the total volume of that lump by its mass? So now you’ve defined a new property, the
volume per unit mass. Now when you
divide the matter in half, the volume of each half goes down, but so does the
mass. Thus, the volume per unit mass doesn’t change, and you’ve got yourself an
intensive property. So, you can turn any
extensive property into an extensive property by dividing by its mass.
When we transform an extensive property into an intensive
property, we also add a prefix word to the extensive property’s name, and that
prefix word is: specific. Thus, when we
divide the extensive property of volume
by its mass, it now becomes the intensive thermodynamic property specific volume. This is where the term: specific heat comes
from. It is also (more or less) the
source of the term used in rocketry known as the specific impulse (abbreviated
Isp). The specific impulse is the
impulse that a rocket delivers, divided by the unit of mass that created that
impulse.
But now I want to extend this concept to another area, and
that’s the area of information storage.
Anytime we store digital information in a permanent way, we have to
store it using some form of matter. A
hard drive is made of a ferromagnetic material coating on an aluminum or glass
platter. A flash drive uses semiconductor-based
flash memory to store binary information.
A CD uses millions of bits of reflective material to encode zeros and
ones. Each of these devices has a finite
amount of storage capacity, which we usually quantify in terms of the number of
bytes (or bits) of information. Because
the information is stored using matter, this means that the amount of
information on the storage device is an extensive property. It is dependent on the mass of the storage
media.
But each of the storage devices has another property, and
that is the mass of the device itself.
As we’ve seen before, if we want to transform the extensive property to
an intensive property, we divide by the mass.
So if we divide the amount of information storage capacity on a storage
device by the mass of the device, then the resulting intensive property would
rightly be called the specific
information of the storage device.
Since we can know the mass of any particular storage device,
and we can know its storage capacity, we can therefore compute the specific information
of that storage device. I’ll provide
some examples in future posts. Readers
are encouraged to determine the specific information of their favorite storage
device by weighing it (actually massing it), then dividing its storage capacity
by it mass. Obviously, some of the mass
might be extraneous to the device’s storage functions. Such things as a plastic
case, lock/unlock switches, anything that could be stripped away and not cause
the storage device to cease being able to store information.
The units of specific information would be in bits per
kilogram (or gram, or pound, slug, troy ounce, scrupulum, or whatever mass unit
you wish. My personal favorite is the carat).
It’s worth noting that the specific information of a storage
device is not the same at the storage device’s storage density. The storage density is the amount of
information (bits or bytes) per unit volume of the storage device.
So, what is the utility of knowing the specific information
of a particular storage device? Well,
one can see the trend in increasing specific information as technology
improves. One could also make some
predictions on the highest possible specific information that could be achieved.
One other interesting thing is that using the concept of
specific information, you can compute the mass of code. One doesn’t normally think of code as having
any mass whatsoever. But given the fact
that code has to be stored somewhere on something that does have mass, then the
mass of some piece of code would be the number of bytes of the code divided by
the specific information of the storage device upon which the code
resides. Voila; the code’s mass.
However, probably the most interesting utility
of the specific information as an intensive property has not yet been identified
yet. I’m betting you readers will come
up with some good ones, so I’m looking forward to your comments.