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The co-efficient of volume expansion of glycerine is 49 x 10^-5 /° C, then what will be fractional change in its density (approx) for 30°C rise in temperature

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$1 .5 \times 10^{- 2}$

$2 .5 \times 10^{- 2}$

$2.0 \times 10^{- 2}$

$2.8 \times 10^{- 2}$

answer is A.

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Detailed Solution

$ρ = \frac{M}{V} \Rightarrow ρ \propto V^{- 1}$
$\begin{array}{l} \frac{Δρ}{ρ} = - 1 \frac{ΔV}{V} \\ \frac{Δρ}{ρ} = - γΔT = - 49 \times 10^{- 5} \times 30 \\ \frac{Δρ}{ρ} = - 1 .47 \times 10^{- 2} \end{array}$

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