1.

The coefficient of volume expansion of glycerine is `49 xx 10^(-5)//^(@)C`. What is the fractional change in its density (approx.) for `30^(@)C` rise in temperature?A. `1.5 xx 10^(-2)`B. `2.5 xx 10^(-2)`C. `2.0 xx 10^(-2)`D. `2.8 xx 10^(-2)`

Answer» Correct Answer - A
Coefficient of volume expansion of glycerine,
`gamma = 49xx10^(-5)//^(@)C`
Rise in temperature, `Delta T = 30^(@)C`
As, `gamma = 1/(Delta T) ((Delta V)/(V)) rArr (Delta V)/(V) = gamma xx Delta T`
or `(Delta V)/(V) = (49xx10^(-5))xx30 = 0.0147`
Since mass remains constant,
Fractional change in density = fractional change in volume = `0.0147 = 1.5 xx 10^(-2)`.


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