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Q10.11: NCERT Physics - Part 2 THERMAL PROPERTIES OF MATTER 10.11 Solution: The coefficient of volume expansion of glycerine is 49 _ 10__…

The coefficient of volume expansion of glycerine is 49 _ 10__ K__. What is the fractional change in its density for a 30 �C rise in temperature?

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**Answer:** Fractional change in density = −1.47×10−2-1.47 \times 10^{-2} **Step-by-Step Explanation:** The fractional change in density is related to volume expansion by:
Δρρ=−ΔVV=−γΔT\frac{\Delta \rho}{\rho} = -\frac{\Delta V}{V} = -\gamma \Delta T
Δρρ=−49×10−5×30=−1.47×10−2\frac{\Delta \rho}{\rho} = -49 \times 10^{-5} \times 30 = -1.47 \times 10^{-2}
The negative sign indicates that density decreases. [citation:2]

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