### Determining the Final Temperature of a Heated Iron SampleIn this example, we aim to calculate the final temperature of a 377 g sample of iron when 2.64 kJ of heat is added. The initial temperature of the sample was 18.8°C. The specific heat capacity of iron is given as 0.449 J/g·K.#### Problem Statement:"Determine the final temperature of a 377 g sample of iron when 2.64 kJ of heat is added. The initial temperature of the sample was 18.8°C. The specific heat capacity of iron is 0.449 J/g·K."#### Given Data:- Mass of iron sample (m): 377 g- Heat added (q): 2.64 kJ (2640 J)- Initial temperature (T₁): 18.8°C- Specific heat capacity of iron (c): 0.449 J/g·K#### Solution:To determine the final temperature (T₂), we can use the formula for heat transfer:\[ q = m \cdot c \cdot \Delta T \]Where:- \( q \) is the heat added,- \( m \) is the mass of the sample,- \( c \) is the specific heat capacity,- \( \Delta T \) is the change in temperature (T₂ - T₁).Rearranging to solve for \( \Delta T \):\[ \Delta T = \frac{q}{m \cdot c} \]Substitute the given values into the equation:\[ \Delta T = \frac{2640 \text{ J}}{377 \text{ g} \cdot 0.449 \text{ J/g·K}} \]\[ \Delta T \approx 15.4 \text{ K} \]Now, calculate the final temperature:\[ T₂ = T₁ + \Delta T \]\[ T₂ = 18.8°C + 15.4 \text{ K} \]\[ T₂ \approx 34.2°C \]Therefore, the final temperature of the iron sample after adding 2.64 kJ of heat is approximately 34.2°C.**Note:** In the context of this calculation, an increase in temperature (ΔT) in degrees Celsius is equivalent to an increase in temperature in Kelvin since the size of a degree

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Answered: Determine the final temperature of a…

Determine the final temperature of a 377 g sample of iron when 2.64 kJ of heat is added. The initial temperature of the sample was 18.8 oC. The specific heat capacity of iron is 0.449 J/g-K.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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