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JAMB Physics 2014 Question 20

Question 20

Thermal Expansion

A glass bottle of initial volume 2 × 104cm3 is heated from 20°C to 50°C. If the linear expansivity of glass is 9 × 10−6K−1, the volume of the bottle at 50°C is

  1. A.20 005.4 cm3.
  2. B.20 008.1 cm3.
  3. C.20 013.5 cm3.
  4. D.20 016.2 cm3.
Show the answer and explanation

Answer: D (20 016.2 cm3.)

Explanation

Cubic expansivity = 3 × 9 × 10−6 = 2.7 × 10−5 K−1. ΔV = 2.7 × 10−5 × 2 × 104 × 30 = 16.2 cm3, so V = 20 016.2 cm3.