Answer:
5.76 cm³
Explanation:
Using the equation for volume expansivity,
V = V₀ + V₀γΔθ) where V₀ = volume of cube = volume of mercury = 400 cm³, γ = cubic expansivity of mercury = 18 × 10⁻⁵ /K and Δθ temperature change = θ₂ - θ₁ where θ₁ = 0 °C and θ₂ = 80°C. So, Δθ = 80°C - 0°C = 80°C = 80 K
Now, the volume change, ΔV = V - V₀ = V₀γΔθ.
So, substituting the values of the variables into the equation, we have
ΔV = V₀γΔθ
= 400 cm³ × 18 × 10⁻⁵ /K × 80 K
= 5.76 cm³
So the mercury will overflow by 5.76 cm³.