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The specific heat of silver is 235 J/(kg·K). How much energy is needed to raise the temperature of a 0.50-kg sample of silver from 200 K to 205 K?

a) 587.5 J
b) 5875 J
c) 23.5 kJ
d) 24.1 kJ

1 Answer

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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).

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