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The value of coefficient of volume expansion of glycerine is 5 × 10⁻⁴ K⁻¹. The fractional change in the density of glycerine for a rise of 40°C in its temperature, is:

1. 0.020
2. 0.025
3. 0.010
4. 0.015

Correct answer: 0.020

Solution

The fractional change in density is approximately equal to the negative of the coefficient of volume expansion multiplied by the temperature change. Using Δρ/ρ = -βΔT, we get -5 × 10⁻⁴ × 40 = -0.020.

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