If a rectangular metal block with an initial volume of 3.2 x 10-6 m3 at 343 K
Source: JAMB · 2023
If a rectangular metal block with an initial volume of 3.2 x 10-6 m3 at 343 K is heated to 842 K, and its coefficient of linear expansion is 1.2 x 10-5 K-1, what is the percentage change in its volume?
If a rectangular metal block with an initial volume of 3.2 x 10-6 m3 at 343 K is heated to 842 K, and its coefficient of linear expansion is 1.2 x 10-5 K-1, what is the percentage change in its volume?
Explanation
The volume expansion coefficient is about three times the linear one: γ = 3α = 3 × 1.2 × 10⁻⁵ = 3.6 × 10⁻⁵ K⁻¹.
Temperature rise = 842 − 343 = 499 K.
ΔV/V = 3.6 × 10⁻⁵ × 499 ≈ 0.018, which is 1.8%.
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