A brass cube,15.0 cm on a side,is raised in temperature by 170°C.The coefficient of volume expansion of brass is 57 × 10−⁶/C°.By what percentage does volume increase? A)33% B)1.4% C)1.0% D)3.4% E)2.81%

Question

Quizplus · Accepted Answer

The change in volume can be calculated using the formula:

ΔV = VαΔT

where V is the initial volume, α is the coefficient of volume expansion, and ΔT is the change in temperature.

Substituting the given values, we get:

ΔV = (15.0 cm)^3 * (57 × 10^-6 /°C) * 170°C
ΔV = 23.99 cm^3

The percentage increase in volume can be calculated as:

%ΔV = (ΔV / V) * 100

Substituting the initial volume, we get:

%ΔV = (23.99 cm^3 / (15.0 cm)^3) * 100
%ΔV = 1.0%

Therefore, the answer is C, 1.0%.

A Brass Cube,15