A brass box is in the shape of a cube. The coefficient of linear thermal expansion is 19 × 10⁻⁶/°C. If the temperature of the box is increased by 20°C, then what is the fractional change in the volume of the box? A) 0.08% B) 0.11% C) 0.15% D) 0.25% E) 0.30%

Question

Quizplus · Accepted Answer

The fractional change in volume due to thermal expansion is given by the formula ΔV/V = 3αΔT, where ΔV/V is the fractional change in volume, α is the coefficient of linear expansion, and ΔT is the change in temperature. Substituting the given values: 3 * 19 × 10^-6 /°C * 20°C = 1.14 × 10^-3 or 0.114%, which is approximately 0.11%.

A Brass Box Is in the Shape of a Cube