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"A cubic centimetre contains 21,000,000,000,000,000,000,000 molecules," "the number of impacts received by each molecule of air during one second will be 4,700 millions. The distance traversed between each impact averages 95/1000000 of a millimetre," and so on with lines of ciphers to overawe the gaping millions with Mr. Laing's minute certainty as to the ultimate constitution of matter.
Taking the same tuning fork mentioned above, the molecule would take 1/256 of a second to make a full vibration, which is the length of time it takes for the pulse to travel the length of the sound wave. For different intensities, the amplitude of vibration of the molecule is roughly 1/50 to 1/1000000 of an inch.
That is to say, in the case of the same tuning fork, the molecules it causes to vibrate must either travel a distance of 1/56 or 1/1000000 of an inch forward and back in the 1/256 of a second or in one direction in the 1/512 of a second.
The wave theory of sound requires, if we expect to hear sound by means of a C^ fork of 256 vibrations, that the molecules of the air composing the sound wave must not be interfered with in such a way as to prevent them from traveling a distance of at least 1/50 to 1/1000000 of an inch forward and back in the 1/256 of a second.
"The French hectare I had calculated to contain 107,708 67/100 English square feet, or 2 47265/100000 acres; Dr Kelly takes it, on authority which he gives, at 107,644 143923/1000000 English square feet, or 2 471169/1000000 acres. The last French "Annuaires", however, state it, I perceive, as being equal to 2 473614/1000000 acres.
The problem we have to explain is, how a molecule traveling at the rate of 1,512 feet a second through a mean path of 8/100000 of an inch, and colliding seventeen billion or million times a second, can, by the vibration of the C^ fork, be made to vibrate so as to have a pendulous motion for 1/256 of a second and vibrate through a distance of 1/50 to the 1/1000000 of an inch without being changed or mar its harmonic motion.
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