Final answer:
The question involves calculating the energy required to heat aluminum based on its specific heat capacity, which is 0.900 J/g°C or 900 J/kg°C. Using this value, one can calculate the amount of energy for specific temperature changes in aluminum objects.
Step-by-step explanation:
The question revolves around the specific heat capacity of aluminum, which is a material's capacity to absorb heat with respect to its mass and the resultant temperature change. The specific heat capacity for aluminum is provided as 0.900 J/g°C in some contexts, although it is measured in 900 J/kg°C for larger mass scales. Knowing these values, we can calculate the amount of energy required for temperature changes in aluminum objects. For example, to raise the temperature of 2 kg of aluminum by 3 °C, the energy needed can be calculated using the formula Q = m × c × ∆T, where Q is the heat in joules, m is the mass in kilograms, c is the specific heat capacity, and ∆T is the temperature change in degrees Celsius. The correct calculation would be (2 kg) × (900 J/kg°C) × (3°C) = 5400 J or 5.4 kJ.
To calculate the energy required to change the temperature of 2 kg aluminum by 3 °C, we can use the formula:
Energy = mass * specific heat * change in temperature
So, the energy required would be:
Energy = 2 kg * 900 J/kg-°C * 3 °C = 5400 J = 5.4 kJ
Therefore, the correct answer is 5.4 kJ.