### Heat Transfer and Density CalculationsA cubic piece of platinum metal, with a specific heat capacity of 0.1256 J/°C·g, is initially at a temperature of 200.0°C. When submerged into 1.00 L of deuterium oxide ('heavy water'), which has a specific heat capacity of 4.211 J/°C·g, the system's initial temperature is 25.5°C. Upon reaching thermal equilibrium, the final temperature of the platinum and deuterium oxide mixture is 29.1°C.#### Given Data- **Platinum Metal:** - Initial Temperature = 200.0°C - Specific Heat Capacity = 0.1256 J/°C·g - Density = 21.45 g/cm³- **Deuterium Oxide:** - Volume = 1.00 L - Initial Temperature = 25.5°C - Specific Heat Capacity = 4.211 J/°C·g - Density = 1.11 g/mL#### ProblemCalculate the edge length of the cube of platinum, expressed in centimeters.### Calculation Approach1. **Calculate the Mass of Deuterium Oxide:** \[ \text{Mass} = \text{Density} \times \text{Volume} = 1.11 \, \text{g/mL} \times 1000 \, \text{mL} = 1110 \, \text{g} \]2. **Energy Transfer (Heat Balance):** The heat lost by platinum equals the heat gained by deuterium oxide: \[ (m_{\text{Pt}} \cdot c_{\text{Pt}} \cdot \Delta T_{\text{Pt}}) = (m_{\text{D2O}} \cdot c_{\text{D2O}} \cdot \Delta T_{\text{D2O}}) \] where: - \( \Delta T_{\text{Pt}} = 200.0°C - 29.1°C \) - \( \Delta T_{\text{D2O}} = 29.1°C - 25.5°C \)3. **Calculate the Mass of Platinum:** Use the formula above to find \( m_{\text{Pt}} \

Answer: This question is based on the conservation of energy which suggests that energy lost by…

A cubic piece of platinum metal (specific heat capacity = 0.1256 J/°C g) at 200.0°C is dropped into 1.00 L of deuterium oxide ('heavy water,' specific heat capacity = 4.211 J/°C g) at 25.5°C. The final temperature of the platinum and deuterium oxide mixture is 29.1°C. The density of platinum is 21.45 g/ cm³ and the density of deuterium oxide is 1.11 g/mL. What is the edge length of the cube of platinum, in centimeters?

A cubic piece of platinum metal (specific heat capacity = 0.1256 J/°C g) at 200.0°C is dropped into 1.00 L of deuterium oxide ('heavy water,' specific heat capacity = 4.211 J/°C g) at 25.5°C. The final temperature of the platinum and deuterium oxide mixture is 29.1°C. The density of platinum is 21.45 g/ cm³ and the density of deuterium oxide is 1.11 g/mL. What is the edge length of the cube of platinum, in centimeters?

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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