question_answer

A long cylindrical vessel having linear coefficient of expansion \[\alpha \] is filled with a liquid up to a certain level. On heating, it is observed that the length of the liquid in the cylinder remains the same. What is the volume coefficient of expansion of the liquid?

Answer:

                Since the level of liquid remains the same, therefore, the volume coefficient of expansion of the liquid is the same as the volume coefficient of expansion of the cylinder. So, the volume coefficient of expansion of the liquid is 3\[\alpha \].