Final answer:
Lead warms up the fastest due to its lowest specific heat capacity, followed by copper, with aluminum warming up the slowest. So the correct order is c, b, a.
Step-by-step explanation:
The question asks to rank materials from fastest to slowest in terms of heating up, based on their specific heat capacities given in joules per kilogram per degree Celsius (J/kg°C). Specific heat capacity is a measure of how much energy is needed to raise the temperature of a certain mass of a substance by one degree Celsius. The lower the specific heat capacity, the less energy is required to heat the material, thus it warms up more quickly.
The specific heat capacities provided for aluminum, copper, and lead are 910 J/kg°C, 390 J/kg°C, and 130 J/kg°C respectively. According to these values:
- Lead, with the lowest specific heat capacity (130 J/kg°C), will warm up the fastest.
- Copper, with a medium-specific heat capacity (390 J/kg°C), will warm up more slowly than lead.
- Aluminum, with the highest specific heat capacity (910 J/kg°C), will warm up the slowest.
Therefore, the materials ranked from fastest to slowest in terms of warming up are lead, copper, and aluminum.