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 is any one of the 10-cm edges increased in length? A)4% B)2.8% C)0.38% D)0.29%

Question

Quizplus · Accepted Answer

We can use the formula for linear expansion to find the increase in length of one edge:

ΔL = αLΔT

where ΔL is the change in length, α is the coefficient of linear expansion, L is the original length (10 cm), and ΔT is the change in temperature (200°F or 111.1°C).

Since we want the percentage increase, we can divide ΔL by the original length and multiply by 100:

%ΔL = ΔL/L x 100 = αΔT x 100 = (57 × 10^-6/°C) × (111.1°C) × 100 = 0.38%

Therefore, any one of the 10-cm edges is increased in length by 0.38%, which is closest to choice C (0.38%).

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 $\degree$