The coefficient of linear expansion of steel is 11 x 10 perc . A steel ball has a volume of exactly 100 cm at 0 C. When heated to 100 C, its volume becomes:

Question: The coefficient of linear expansion of steel is 11 x 10⁻⁶ per °c . A steel ball has a volume of

exactly 100 cm³ at 0 C. When heated to 100 C, its volume becomes:

100.11 cm³

Explanation:

From the question,

γ = (v₂-v₁)/(v₁Δt) Equation 1

Where γ = coefficient of volume expansion, v₂ = final volume, v₁ = initial volume, Δt = change in temperature.

make v₂ the subject of the equation

v₂ = v₁+γv₁Δt Equation 2

Given: v₁ = 100 cm³, γ = 11×10⁻⁶/°C, Δt = 100 °C.

Substitute into equation 2

v₂ = 100+100(11×10⁻⁶)(100)

v₂ = 100+0.11

v₂ = 100.11 cm³