Einstein, the searcher : $b his work explained from dialogues with EinsteinMoszkowski, Alexander
Philosophy
Einstein, the searcher : $b his work explained from dialogues with Einstein
Moszkowski, Alexander
Einstein, Albert, 1879-1955; Relativity (Physics)
We shall soon see what this one gramme of coal conveys when we translate
the above-mentioned numbers into a language to which a meaning may be
attached in ordinary life. I endeavoured to do this during the above
conversation, and was grateful to Einstein for agreeing to simplify his
argument by confining his attention to the most valuable fuel in our
economic life.
Once whilst I was attending a students' meeting, paying homage to
Wilhelm Dove, the celebrated discoverer took us aback with the following
remark: When a man succeeds in climbing the highest mountain of Europe
he performs a task which, judged from his personal point of view,
represents something stupendous. The physicist smiles and says quite
simply, "Two pounds of coal." He means to say that by burning 2 lb. of
coal we gain sufficient energy to lift a man from the sea-level to the
summit of Mont Blanc.
It is assumed, of course, that an ideal machine is used, which converts
the heat of combustion without loss into work. Such a machine does not
exist, but may easily be imagined by supposing the imperfections of
machines made by human hands to be eliminated.
Such effective heat is usually expressed in calories. A calorie is the
amount of heat that is necessary to raise the temperature of a gramme of
water by one degree centigrade. Now the theorem of the Mechanical
Equivalent, which is founded on the investigations of Carnot, Robert
Mayer, and Clausius, states that from one calorie we may obtain
sufficient energy to lift a pound weight about 3 feet. Since 2 lb. of
coal may be made to yield 8 million calories, they will enable us to
lift a pound weight through 24 million feet, theoretically, or, what
comes to the same approximately, to lift a 17-stone man through 100,000
feet, that is, nearly 19 miles: this is nearly seven times the height of
Mont Blanc.
At the time when Dove was lecturing, Einstein had not yet been born, and
when Einstein was working out his Theory of Relativity, Dove had long
passed away, and with him there vanished the idea of the small value of
the energy stored in substance to give way to a very much greater value
of which we can scarce form an estimate. We should feel dumbfounded if
the new calculation were to be a matter of millions, but actually we are
to imagine a magnification to the extent of billions. This sounds almost
like a fable when expressed in words. But a million is related to a
billion in about the same way as a fairly wide city street to the width
of the Atlantic Ocean. Our Mont Blanc sinks to insignificance. In the
above calculation it would have to be replaced by a mountain 50 million
miles high. Since this would lead far out into space, we may say that
the energy contained in a kilogramme of coal is sufficient to project a
man so far that he will never return, converting him into a human comet.
But for the present this is only a theoretical store of energy which
cannot yet be utilized in practice.
Public-domain text, read in full here on John Shaqi.
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