Question

The volume of a thin-walled brass vessel and the volume of a solid brass sphere at 0°C are both equal to 1000cm3. What will be the change in volumes of the vessel and the sphere upon being heated to 20°C? The coefficient of linear expansion of brass is l-9 x 10-5/°C.

Answer 1

Answer: V - V0 = 1.14 cm3.

Explanation:

The change in the total of a body when heated is independent of the presence of a cavity inside the body, and may be calculated by means of the ordinary formula for volume expansion:

v = v0(1 + βt),

where β is the coefficient of cubical expansion.

The volumes occupied by the vessel and the sphere will be the same at all temperatures. The change in volume, upon being heated, is

V - V0 = βV0t.