Question

A 22.0 g block of copper at 85°C absorbs 2.50 kJ of heat. Given the specific heat of Cu is 0.385 J/g·°C, what will be the final temperature of the Cu?

Answer 1

The final temperature of the copper block after absorbing 2.50 kJ of heat is 162.34°C, calculated using the specific heat formula.

Step-by-step explanation:

The student is asking how to calculate the final temperature of a block of copper after it has absorbed a certain amount of heat. To solve for the final temperature (Tfinal), we can use the specific heat formula:

q = m × c × ΔT

Where:

• q is the heat absorbed, in joules (J),
• m is the mass of the substance, in grams (g),
• c is the specific heat capacity, in J/g°C, and
• ΔT is the change in temperature, ΔT = Tfinal - Tinitial.

Given:

• q = 2.50 kJ = 2500 J,
• m = 22.0 g,
• c = 0.385 J/g°C,
• Tinitial = 85°C.

Rearranging the formula to solve for Tfinal:

Tfinal = ΔT + Tinitial = · (q / (m × c)) + Tinitial

Substituting in the given values:

Tfinal = (2500 J / (22.0 g × 0.385 J/g°C)) + 85°C = 162.34°C

Hence, the final temperature of the copper block is 162.34°C.