Heat An Elementary Text book Theoretical And Practical for Colleges And Scho

Cover Heat An Elementary Text book Theoretical And Practical for Colleges And Scho
Heat An Elementary Text book Theoretical And Practical for Colleges And Scho
Richard Glazebrook
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Now h, the observed height, needs correction because the scale is not accurate at the temperature of the observation but at some other ; let us suppose it correct at freezing-point, and let If be the real height of the column at the temperature of the observation ; let a be the coefficient of linear expansion of the material of the scale. Then since the scale is at t each centimetre is really 1 + at cm. In length. The length of the column is apparently h cm. , hence its real length is or ff=k(l...+at). This height H now requires correcting because the mercury is at t instead of at the standard temperature zero. Let ff be the corrected height, p the density of the mercury at t t po at zero, y the coefficient of dilatation of the mercury. We know that Now the column of height H is to have the same weight per unit area as the column of height H. Thus we must have Therefore H = =, JET (1 - y*), if we neglect terms in y 2 2 \ etc. Hence finally introducing the value of H in terms of h the observed height, Thus we find the corrected height H at freezing-point in terms of the observed height h.

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