Question

What is the change in length of a 3.00 -cm-long column of mercury if its temperature changes from $37.0^{\circ} \mathrm{C}$ to $40.0^{\circ} \mathrm{C},$ assuming the mercury is constrained to a cylinder but unconstrained in length? Your answer will show why thermometers contain bulbs at the bottom instead of simple columns of liquid.

          What is the change in length of a 3.00 -cm-long column of mercury if its temperature changes from $37.0^{\circ} \mathrm{C}$ to $40.0^{\circ} \mathrm{C},$ assuming the mercury is constrained to a cylinder but unconstrained in length? Your answer will show why thermometers contain bulbs at the bottom instead of simple columns of liquid.

Added by Paula S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Animesh Raj

04/13/2022

Step 1

82 \times 10^{-4} \, ^\circ \text{C}^{-1}$, the change in temperature is $40.0^\circ \text{C} - 37.0^\circ \text{C} = 3.0^\circ \text{C}$. The linear expansion of mercury is given by $\Delta L = L \cdot \alpha \cdot \Delta T$, where $L$ is the original length, Show more…

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What is the change in length of a 3.00 -cm-long column of mercury if its temperature changes from $37.0^{\circ} \mathrm{C}$ to $40.0^{\circ} \mathrm{C},$ assuming the mercury is constrained to a cylinder but unconstrained in length? Your answer will show why thermometers contain bulbs at the bottom instead of simple columns of liquid.