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PART 1: A block of an unknown metal is heated to 100°C. It is then placed in a cup of cool water. As a result, the metal will cool and the water will heat up until thermal equilibrium is reached. Go to each Trial section and take measurements the water temperature before the metal is put in the water (Twater,i) and after thermal equilibrium is reached (Tequilibrium). You will also need to determine your temperature reading uncertainty (T). Use those measurements and the data provided to fill in the tables below. Assume the water & metal are a closed system. T is temperature uncertainty, mis mass uncertainty, & is specific heat uncertainty for the metal. The values in this table are the same for all trials in Part 1. Tmetal,i (°C) 100 Cwater mcup (3/kg-K) (9) 4186 36 Trial water+cup (9) 241.9 167.9 153.1 1 2 3 mmetal (9) 267.2 max average Cmetal= min average Cmetal= om (9) 0.1 OT (K) water Twater, Tequilibrium ATwater (9) (°C) (°C) (K) AT metal (K) Cmetal (J/kg-K) oc (J/kg-K) do 2 OT Cmetal ATwater Determine your average value for Cmetal & as well as the range (the range is based on the average & the uncertainty). Ideally, the specific heat values you calculated in each trial will fall within the range below. J/kg-K average Cmetal J/kg-Kt J/kg-K J/kg-K

PART 1: A block of an unknown metal is heated to 100°C. It is then placed in a cup of cool water. As a result, the metal will cool and the water will heat up until thermal equilibrium is reached. Go to each Trial section and take measurements the water temperature before the metal is put in the water (Twater,i) and after thermal equilibrium is reached (Tequilibrium). You will also need to determine your temperature reading uncertainty (T). Use those measurements and the data provided to fill in the tables below. Assume the water & metal are a closed system. T is temperature uncertainty, mis mass uncertainty, & is specific heat uncertainty for the metal. The values in this table are the same for all trials in Part 1. Tmetal,i (°C) 100 Cwater mcup (3/kg-K) (9) 4186 36 Trial water+cup (9) 241.9 167.9 153.1 1 2 3 mmetal (9) 267.2 max average Cmetal= min average Cmetal= om (9) 0.1 OT (K) water Twater, Tequilibrium ATwater (9) (°C) (°C) (K) AT metal (K) Cmetal (J/kg-K) oc (J/kg-K) do 2 OT Cmetal ATwater Determine your average value for Cmetal & as well as the range (the range is based on the average & the uncertainty). Ideally, the specific heat values you calculated in each trial will fall within the range below. J/kg-K average Cmetal J/kg-Kt J/kg-K J/kg-K

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This lab has two goals: (1) to determine the specific heat of an unknown metal, (2) to determine the latent heat of fusion for H2O.

**Specific Heat of Metal - Trial 1** These thermometers measure temperature in °C. - **Twater,1 Thermometer:** - Temperature reading: 20°C - **Tequilibrium Thermometer:** - Temperature reading: 30°C --- **Specific Heat of Metal - Trial 2** These thermometers measure temperature in °C. - **Twater,2 Thermometer:** - Temperature reading: 20°C - **Tequilibrium Thermometer:** - Temperature reading: 35°C --- **Specific Heat of Metal - Trial 3** These thermometers measure temperature in °C. - **Twater,3 Thermometer:** - Temperature reading: 20°C - **Tequilibrium Thermometer:** - Temperature reading: 40°C
Transcribed Image Text:**Specific Heat of Metal - Trial 1** These thermometers measure temperature in °C. - **Twater,1 Thermometer:** - Temperature reading: 20°C - **Tequilibrium Thermometer:** - Temperature reading: 30°C --- **Specific Heat of Metal - Trial 2** These thermometers measure temperature in °C. - **Twater,2 Thermometer:** - Temperature reading: 20°C - **Tequilibrium Thermometer:** - Temperature reading: 35°C --- **Specific Heat of Metal - Trial 3** These thermometers measure temperature in °C. - **Twater,3 Thermometer:** - Temperature reading: 20°C - **Tequilibrium Thermometer:** - Temperature reading: 40°C
**PART 1: Experiment Overview** A block of an unknown metal is heated to 100°C. It is then placed in a cup of cool water. As a result, the metal will cool and the water will heat up until thermal equilibrium is reached. For each trial, measure the temperature of the water before the metal is placed in it (\(T_{\text{water,i}}\)) and after thermal equilibrium (\(T_{\text{equilibrium}}\)) is reached. Use these measurements along with the data provided in the table below to complete the experiments. The water and metal system is assumed to be closed. Key uncertainties to note: - \(\sigma_T\): Temperature uncertainty - \(\sigma_m\): Mass uncertainty - \(\sigma_c\): Specific heat uncertainty for the metal **Table of Constants for All Trials in Part 1:** - \(c_{\text{water}}\) (J/kg·K): 4186 - \(m_{\text{cup}} \) (g): 36 - \(m_{\text{metal}}\) (g): 267.2 - \(T_{\text{metal,i}}\) (°C): 100 - \(\sigma_m\) (g): 0.1 - \(\sigma_T\) (K): 0.5 **Experimental Data Table:** | Trial | \(m_{\text{water+cup}}\) (g) | \(m_{\text{water}}\) (g) | \(T_{\text{water,i}}\) (°C) | \(T_{\text{equilibrium}}\) (°C) | \(\Delta T_{\text{water}}\) (K) | \(\Delta T_{\text{metal}}\) (K) | \(c_{\text{metal}}\) (J/kg·K) | \(\sigma_c\) (J/kg·K) | |-------|------------------------------|--------------------------|-----------------------------|------------------------------|--------------------------|-----------------------------|-----------------------|-------------------| | 1 | 241.9 | | | | | | | | | 2 | 167.9 | | | | | | | | | 3 | 153.1 | | | | | | | | **Determine the Average
Transcribed Image Text:**PART 1: Experiment Overview** A block of an unknown metal is heated to 100°C. It is then placed in a cup of cool water. As a result, the metal will cool and the water will heat up until thermal equilibrium is reached. For each trial, measure the temperature of the water before the metal is placed in it (\(T_{\text{water,i}}\)) and after thermal equilibrium (\(T_{\text{equilibrium}}\)) is reached. Use these measurements along with the data provided in the table below to complete the experiments. The water and metal system is assumed to be closed. Key uncertainties to note: - \(\sigma_T\): Temperature uncertainty - \(\sigma_m\): Mass uncertainty - \(\sigma_c\): Specific heat uncertainty for the metal **Table of Constants for All Trials in Part 1:** - \(c_{\text{water}}\) (J/kg·K): 4186 - \(m_{\text{cup}} \) (g): 36 - \(m_{\text{metal}}\) (g): 267.2 - \(T_{\text{metal,i}}\) (°C): 100 - \(\sigma_m\) (g): 0.1 - \(\sigma_T\) (K): 0.5 **Experimental Data Table:** | Trial | \(m_{\text{water+cup}}\) (g) | \(m_{\text{water}}\) (g) | \(T_{\text{water,i}}\) (°C) | \(T_{\text{equilibrium}}\) (°C) | \(\Delta T_{\text{water}}\) (K) | \(\Delta T_{\text{metal}}\) (K) | \(c_{\text{metal}}\) (J/kg·K) | \(\sigma_c\) (J/kg·K) | |-------|------------------------------|--------------------------|-----------------------------|------------------------------|--------------------------|-----------------------------|-----------------------|-------------------| | 1 | 241.9 | | | | | | | | | 2 | 167.9 | | | | | | | | | 3 | 153.1 | | | | | | | | **Determine the Average
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