Halliday, Resnick & Walker — Temperature, Heat, and the First Law of Thermodynamics: Problem 19

A vertical glass tube of length \( L = 1.280\,000 \text{ m} \) is half filled with a liquid at \( 20.000\,000^\circ\text{C} \). How much will the height of the liquid column change when the tube and liquid are heated to \( 30.000\,000^\circ\text{C} \)? Use coefficients \( \alpha_{\text{glass}} = 1.000\,000 \times 10^{-5}\text{/K} \) and \( \beta_{\text{liquid}} = 4.000\,000 \times 10^{-5}\text{/K} \).