The coefficient of volume expansion of glycerine is 49 x 10 -5 K -1 . The fractional change in its density for a 30 °C rise in temperature will be
Text Solution
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1.45 x 10 -2
Let V 0 be the initial volume of glycerine, i.e, at 0 °C (dry). If Vt be its volume at 30 °C
Then V t = V 0 (1 + v
t)
=V 0 (1 + 49 x 10 -5 x 30)
V t = V 0 (1 + 0.01470) = 1.0147070 V 0
Let
and
be the initial and final densities of glycertine then initial density,
and final density, 
Where, m =mass of glycertine
fractional change in the density


Here, negative sign shows that density decreases with rise in temperature


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