Final answer:
To calculate the energy released when 5.00 g of aluminum is cooled from 50°C to 30°C, use the formula Q = mcΔT. The correct answer is option O a. 2440 J.
Step-by-step explanation:
To calculate the energy released when 5.00 g of aluminum is cooled from 50°C to 30°C, we need to use the formula:
Q = mcΔT
Where Q is the energy released, m is the mass of the aluminum, c is the heat capacity of aluminum, and ΔT is the change in temperature.
First, we need to convert the mass of aluminum from grams to kilograms:
m = 5.00 g × (1 kg / 1000 g) = 0.005 kg
Next, we can calculate the energy released:
Q = (0.005 kg) × (25.4 J/mol °C) × (30°C - 50°C) = -1.27 kJ
The negative sign indicates that energy is being released.
Therefore, the correct answer is option O a. 2440 J.