Question

The specific heat of copper is 0.385 J/(g ⋅ °C). If 34.2 g of copper, initially at 19.0°C, absorbs 4.689 kJ, what will be the final temperature of the copper?

a) 21.4°C
b) 23.8°C
c) 27.5°C
d) 30.2°C

Answer 1

By using the specific heat formula along with the given values for mass, specific heat capacity, and heat absorbed, the final temperature of the copper is calculated to be 54.8°C, which is not listed in the provided options, indicating a possible error in the question or provided answers.

Step-by-step explanation:

The final temperature of the copper can be calculated using the specific heat formula:

q = m × c × ΔT

where:

• q is the heat absorbed (in Joules)
• m is the mass of the substance (in grams)
• c is the specific heat capacity (in J/g°C)
• ΔT is the change in temperature (°C)

Since the heat absorbed is given in kilojoules (kJ), we first convert it to joules (4.689 kJ = 4689 J). Then we can rearrange the formula to solve for ΔT:

ΔT = q / (m × c)
ΔT = 4689 J / (34.2 g × 0.385 J/g°C)
ΔT = 35.8°C
We add the ΔT to the initial temperature to find the final temperature:

Final temperature = Initial temperature + ΔT
Final temperature = 19.0°C + 35.8°C = 54.8°C
Therefore, the final temperature is not given in the options, and there may be an error in either the question or the provided answers.