The kinetic energy of particles increases when the temperature of a substance is raised, as temperature is a measure of the average kinetic energy of the particles.
In the options provided:
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a. metal is melted at 1300 degrees Celsius: This is a phase change where energy is used to break bonds, so the kinetic energy does not increase during the melting process.
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b. metal is cooled at 1300 degrees Celsius: Cooling decreases the kinetic energy of the particles.
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c. Metal is heated from room temperature to 200 degrees Celsius: Heating the metal increases the kinetic energy of the particles as the temperature rises.
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d. Metal is at room temperature. 37 degrees Celsius: The kinetic energy is constant, as there is no change in temperature.
Thus, the correct answer is c. Metal is heated from room temperature to 200 degrees Celsius.