The temperature of a piece of metal of mass 9 g is raised from 10oC to 110oC when it absorbs 108J of heat energy. Determine the specific heat capacity of th...

Assessment: WAEC SSCE - Physics - 1999 (Objective) Subject: Physics

Question 1 Report

The temperature of a piece of metal of mass 9 g is raised from 10oC to 110oC when it absorbs 108J of heat energy. Determine the specific heat capacity of the metal in J kg-1K-1
Answer Details
The specific heat capacity of a material is the amount of heat energy required to raise the temperature of 1 kg of the material by 1 degree Celsius. The formula for calculating the specific heat capacity of a material is: specific heat capacity = (heat energy absorbed) / (mass of material × change in temperature) In this question, the mass of the metal is 9 g, which is 0.009 kg. The temperature of the metal has been raised by 100 degrees Celsius, i.e. a change of 100 degrees Celsius. Substituting the given values into the formula, we get: specific heat capacity = (108 J) / (0.009 kg × 100 °C) specific heat capacity = 1200 J kg-1K-1 Therefore, the specific heat capacity of the metal is 1200 J kg-1K-1. The answer is 120.0.

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