A brass cube,10 cm on a side,is raised in temperature by 200 $\degree$C.The coefficient of volume expansion of brass is 57 x 10^-6/C $\degree$.By what percentage does volume increase? A)12% B)2.8% C)1.1% D)0.86%

Question

Quizplus · Accepted Answer

The volume expansion (∆V/V) of brass can be calculated using the formula:

∆V/V = β∆T

where β is the coefficient of volume expansion and ∆T is the change in temperature.

Substituting the given values, we get:

∆V/V = (57 x 10^-6 /°C) x (200°F / 1.8°F/°C) = 0.0111 or 1.11%

Therefore, the volume increases by 1.11% or approximately 1.1%. The closest option is C) 1.1%, which is the correct answer.

A Brass Cube,10 Cm on a Side,is Raised in Temperature °\degree°

A Brass Cube,10 Cm on a Side,is Raised in Temperature $\degree$