**Problem:**A 50g sample of metal iron that was heated to 90 °C was dropped into a coffee cup calorimeter containing 200 mL of water at room temperature of 25 °C. Applying the density of water (1g/mL) and specific heat capacities of water and iron, determine the final temperature when the system reaches equilibrium.**Explanation:**To solve this problem, we need to apply the principle of calorimetry, where the heat lost by the iron will be gained by the water until thermal equilibrium is reached.1. **Calculate the mass of water:** Since the density of water is 1g/mL, the mass is equal to the volume. Therefore, the mass of water is 200g.2. **Use specific heat capacities:** - Specific heat capacity of water: \( c_w = 4.18 \, \text{J/g°C} \) - Specific heat capacity of iron: \( c_{Fe} = 0.45 \, \text{J/g°C} \)3. **Set up the heat balance equation:** \[ \text{Heat lost by iron} = \text{Heat gained by water} \] \[ m_{Fe} \cdot c_{Fe} \cdot (T_i - T_f) = m_w \cdot c_w \cdot (T_f - T_w) \] Where: - \( m_{Fe} \) = mass of iron (50g) - \( T_i \) = initial temperature of iron (90 °C) - \( T_f \) = final temperature - \( m_w \) = mass of water (200g) - \( T_w \) = initial temperature of water (25 °C)4. **Solve for \( T_f \) (final temperature):** Rearrange and solve the equation to find the equilibrium temperature.

Given, mass of sample = 50 g volume of water = 200 mL

1. A 50g sample of metal iron that was heated to 90 °C was dropped into a coffee cup calorimeter containing 200mL of water at room temperature of 25 °C. Applying the density of water (1g/mL) and specific heat capacity capacities of water and iron, determine the final temperature when the system reaches equilibrium.

1. A 50g sample of metal iron that was heated to 90 °C was dropped into a coffee cup calorimeter containing 200mL of water at room temperature of 25 °C. Applying the density of water (1g/mL) and specific heat capacity capacities of water and iron, determine the final temperature when the system reaches equilibrium.

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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