Final answer:
The amount of energy needed to raise the temperature of a 0.50-kg sample of silver from 200 K to 205 K is 587.5 J.
Step-by-step explanation:
The amount of energy needed to raise the temperature of a sample of silver can be calculated using the formula:
Energy = mass x specific heat x change in temperature
Plugging in the given values:
Energy = 0.50 kg x 235 J/(kg·K) x (205 K - 200 K) = 0.50 kg x 235 J/(kg·K) x 5 K = 587.5 J
Therefore, the correct answer is 587.5 J (option a).