Final answer:
The total heat energy required to change the temperature of 2.25 kg of silver from 0.0°C to 200.0°C is 580500 J, which does not match any of the options provided in the question.
Step-by-step explanation:
The total amount of heat needed to change the temperature of 2.25 kg of silver from 0.0°C to 200.0°C can be calculated using the formula q = mcΔT, where q is the heat energy, m is the mass, c is the specific heat, and ΔT is the change in temperature. Given that the specific heat of silver is 0.129 J/g°C, the mass of silver is 2.25 kg (which is 2250 g, since 1 kg = 1000 g), and the change in temperature (ΔT) is 200.0°C, the calculation is:
q = (2250 g) × (0.129 J/g°C) × (200.0°C)
q = 580500 J
None of the options provided (a) 413.25 J, (b) 900.0 J, (c) 516.75 J, (d) 600.0 J, correspond to the correct calculation; therefore, there might be an error in the question or the options provided.