A brass cube,8 cm on a side,is raised in temperature by 248°C.The coefficient of volume expansion of brass is 57 × 10−⁶/C°.By what percentage does volume increase? A) 0.7% B) 1.8% C) 1.4% D) 4.9% E) 2.8%

Question

Quizplus · Accepted Answer

The formula for calculating the percentage change in volume due to thermal expansion is:

%ΔV = βΔT × 100%

Where β is the coefficient of volume expansion and ΔT is the change in temperature.

Using the given values, we have:

β = 57 × 10^-6 /°C 
ΔT = 248°C

%ΔV = 57 × 10^-6 /°C × 248°C × 100%
%ΔV = 1.416%

Rounding to one decimal place, the percentage increase in volume is 1.4%, which corresponds to answer choice C.

A Brass Cube,8 Cm on a Side,is Raised in Temperature