The coefficient of volume expansion of glycerin is 49x10⁻⁵K⁻¹. What is the fractionalchange in its density for a 30°C rise in temperature?

Question

The coefficient of volume expansion of glycerin is 49x10⁻⁵K⁻¹. What is the fractionalchange in its density for a 30°C rise in temperature?
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Solution 1

The coefficient of volume expansion (β) is given as 49x10⁻⁵K⁻¹ and the change in temperature (ΔT) is 30°C.

The fractional change in volume (ΔV/V) due to a change in temperature can be calculated using the formula:

ΔV/V = β * ΔT

Substituting the given values:

ΔV/V = 49x10⁻⁵K⁻¹ * 30K = 0.0147

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