Question

A brass cube, 10 cm on a side, is raised in temperature by 200°c. the coefficient of volume expansion of brass is 57 ´ 10-6/c°. by what percentage does volume increase?

Answer 1

Percentage increase in the volume of brass=1.14 %

Explanation:

The increase in volume is given by

ΔV= V₀ Υ ΔT

ΔV= change in volume

Vo= original volume

ΔT= change in temperature= 200°C

Υ ΔT = Coefficient of volume expansion of brass is 57 x 10⁻⁶/C°

so ΔV/V₀ = Υ ΔT

ΔV/V₀= 57 x 10⁻⁶ (200)

ΔV/V₀=0.0114

so percentage increase in volume= ΔV/V₀ x 100= 0.0114 (100)

percentage increase in volume=1.14 %