A solid metallic cube of side length 10 cm and mass 2 kg is heated by supplying 8000 J of thermal energy. The specific heat capacity of the metal is 400 J kg ⁻¹ K ⁻¹ and its coefficient of linear expansion is 2.0 10⁻⁵ K ⁻¹ . The change in t

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A solid metallic cube of side length 10 cm and mass 2 kg is heated by supplying 8000 J of thermal energy. The specific heat capacity of the metal is 400 J kg ⁻¹ K ⁻¹ and its coefficient of linear expansion is 2.0 10⁻⁵ K ⁻¹ . The change in the volume of the cube is :

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Correct answer: B. 6.0 10⁻⁷ m ^3

The heat supplied to the cube is given by: Q = m c T Substituting the given values to find the rise in temperature: 8000 = 2 400 T T = 8000 800 = 10 K The initial volume of the cube is: V₀ = (10 cm )^3 = (0.1 m )^3 = 10⁻³ m ^3 The coefficient of volume expansion is = 3 . The change in volume is: V = V₀ T = V₀ (3 ) T V = 10⁻³ (3 2.0 10⁻⁵) 10 V = 10⁻³ 6.0 10⁻⁵ 10 = 6.0 10⁻⁷ m ^3 Answer: 6.0 10⁻⁷ m ^3

A solid metallic cube of side length 10 cm and mass 2 kg is heated by supplying 8000 J of thermal energy. The specific heat capacity of the metal is 400 J kg ⁻¹ K ⁻¹ and its coefficient of linear expansion is 2.0 10⁻⁵ K ⁻¹ . The change in the volume of the cube is :

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