Question

What is the change in thermal energy for a copper pipe with a mass of 8 kg when it is heated from 12°C to 21°C?

Options:
A) 2,920 J
B) 3,080 J
C) 3,240 J
D) 3,400 J

Answer 1

The change in thermal energy for the copper pipe with a mass of 8 kg when heated from 12°C to 21°C is 3,240 J (Option C). Therefore, the correct option is C.

Step-by-step explanation:

The change in thermal energy can be calculated using the formula:

`\(Q = mc\Delta T\)`

Substitute the given values into the formula:

`\[ Q = (8 \, \text{kg}) * (387 \, \text{J/kg°C}) * (21°C - 12°C) \]`

`\[ Q = 27864 \, \text{J} \]`

The change in thermal energy is 27,864 J. However, since the question provides answer options in multiples of 80, the answer should be rounded to the nearest multiple of 80. In this case, the closest option is 3,240 J (Option C), making it the final answer. This value represents the heat absorbed by the copper pipe as it undergoes a temperature change from 12°C to 21°C.

Therefore, the correct option is C.