Answer to Question #118984 in Physics for Susan Williams

Question

Dry hydrogen by pellet of mercury in a uniform capillary tube closed at one end. If the length of the column of hydrogen at 27 is 1.0 m, at what temperature will the length be 1.20 m

Answer 1

Use the constant pressure law for the two states of the unchanged mass of gas:

$$\frac{V_1}{T_1}=\frac{V_2}{T_2},\\ \space\\ T_2=\frac{V_2}{V_1}T_1=\frac{1.2\cdot A}{1\cdot A}(273+27)=360\text{ K}.$$

This temperature is equivalent to 87°C.