**Problem Statement: Calculation of Specific Heat of a Metal**Calculate the specific heat of a metal (J/°C·g) if the temperature change of a 9.250 g of copper is 172.5 °C, and the temperature change of 72.5 g of water (ΔT_water) is 5.75 °C when the hot copper piece is mixed with cold water in the calorimeter. (Water has a specific heat of 4.184 J/°C·g).---### Explanation and Calculation:Given:- Mass of copper (m_copper) = 9.250 g- Temperature change of copper (ΔT_copper) = 172.5 °C- Mass of water (m_water) = 72.5 g- Temperature change of water (ΔT_water) = 5.75 °C- Specific heat of water (C_water) = 4.184 J/°C·gWe need to calculate the specific heat of copper (C_copper).### Formula:The heat gained or lost by a substance can be calculated using the formula:\[ q = m \cdot C \cdot \Delta T \]For copper:\[ q_{copper} = m_{copper} \cdot C_{copper} \cdot \Delta T_{copper} \]For water:\[ q_{water} = m_{water} \cdot C_{water} \cdot \Delta T_{water} \]In a calorimeter, the heat lost by the metal (copper) is equal to the heat gained by the water:\[ q_{copper} = q_{water} \]\[ m_{copper} \cdot C_{copper} \cdot \Delta T_{copper} = m_{water} \cdot C_{water} \cdot \Delta T_{water} \]### Calculation:\[ 9.250 \, \text{g} \cdot C_{copper} \cdot 172.5 \, \text{°C} = 72.5 \, \text{g} \cdot 4.184 \, \text{J/°C·g} \cdot 5.75 \, \text{°C} \]\[ 1594.125 \, \text{g·

Given data is as follows: The mass of the copper metal = 9.250 g The temperature change of copper…

Calculate the specific heat of a metal (J/ °C g) if the temperature change of a 9.250 g of copper is 172.5 °C; and the temperature change of 72.5 g of water (AT water is 5.75 °C when the hot copper piece is mixed with cold water in the calorimeter. (Water has specific heat of 4.184 J °C g)

Calculate the specific heat of a metal (J/ °C g) if the temperature change of a 9.250 g of copper is 172.5 °C; and the temperature change of 72.5 g of water (AT water is 5.75 °C when the hot copper piece is mixed with cold water in the calorimeter. (Water has specific heat of 4.184 J °C g)

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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