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Chapter 19 - 19.21

21. The change in volume of the liquid is given by ∆ V = βV ∆ T .If A is the cross-sectional area of the

tube and h is the height of the liquid, then V = Ah is the original volume and ∆ V = A ∆ h is the

change in volume. Since the tube does not change the cross-sectional area of the liquid remains the

same. Therefore, A ∆ h = βAh ∆ T or ∆ h = βh ∆ T .