Which best expresses the value for the coefficient of volume expansion,b,for given material as a function of its corresponding coefficient of linear expansion,a? A)b = a ³ B)b = 3a C)b = a ² D)b = 2a

Question

Quizplus · Accepted Answer

The coefficient of volume expansion is related to the coefficient of linear expansion by the equation b = 3a. This is because the volume of an object is proportional to the cube of its linear dimensions, so when the linear dimensions of an object increase by a factor of (1 + a), the volume of the object increases by a factor of (1 + a)^3 = 1 + 3a + 3a^2 + a^3. The coefficient of volume expansion is the coefficient of the linear term in this expansion, which is 3a.

Which Best Expresses the Value for the Coefficient of Volume