Question

A container of glass has a volume 50cm3 . It is then filled to the brim with alcohol at 10oC.

The temperature is then raised to 40oC. Will the alcohol spill? If so, how much? Take

𝛾𝑔𝑙𝑎𝑠𝑠 = 9 𝑥 10−6 𝑜𝐶 and 𝛾𝑎𝑙𝑐𝑜ℎ𝑜𝑙 = 1.12 𝑥 10−4 𝑜𝐶

Answer 1

Find the new volume of the container:

$$V_c=V_0(1+\gamma \Delta T)=50.0135\text{ cm}^3.$$

The new volume of alcohol:

$$V_a=V_0(1+\gamma \Delta T)=50.168\text{ cm}^3.$$

The alcohol will spill. How much?

$$\Delta V=V_a-V_c=0.155\text{ cm}^3.$$