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E PART 2: Latent heat of H₂O PART 2: Ice at 0°C is added to warm water. As a result, the water cools and the ice melts. Eventually equilibrium is reached at 0°C and the remaining ice is removed. The mass of the water+cup is meas the ice is put in (mwater+cup,i) and after the ice is removed (mwater+cup,f). Go to each Trial section and take measurements of the water temperature before the ice is added (Twater,i). You will also need to your temperature reading uncertainty (OT). Use those measurements and the data provided to fill in the tables below. Assume the water & ice are a closed system. OT is temperature uncertainty, am is uncertainty, & L is latent heat uncertainty. The specific heat of water is 4186 J/kg-K. The values in this table are the same for all trials in Part 2. Tequilibrium (°C) 0 Cwater (J/kg.K) 4186 Trial mwater+cup,i (g) 1 2 3 174.8 295.2 148.6 mcup (g) 22.7 mwater+cup,f (9) 246.8 426 210.7 om (g) 0.1 mice melted (9) 72 130.8 62.1 1 ✓ OT (K) mwater (g) 152.1 272.5 125.9 38 38 39 Twater,i (°C) ATwater (K) -38 -38 -39 L (J/kg) 0.15)(2260000)+0.6(333000)+(0.15)(4186)(x-100)+(0.6) (4 OL (J/kg)

E PART 2: Latent heat of H₂O PART 2: Ice at 0°C is added to warm water. As a result, the water cools and the ice melts. Eventually equilibrium is reached at 0°C and the remaining ice is removed. The mass of the water+cup is meas the ice is put in (mwater+cup,i) and after the ice is removed (mwater+cup,f). Go to each Trial section and take measurements of the water temperature before the ice is added (Twater,i). You will also need to your temperature reading uncertainty (OT). Use those measurements and the data provided to fill in the tables below. Assume the water & ice are a closed system. OT is temperature uncertainty, am is uncertainty, & L is latent heat uncertainty. The specific heat of water is 4186 J/kg-K. The values in this table are the same for all trials in Part 2. Tequilibrium (°C) 0 Cwater (J/kg.K) 4186 Trial mwater+cup,i (g) 1 2 3 174.8 295.2 148.6 mcup (g) 22.7 mwater+cup,f (9) 246.8 426 210.7 om (g) 0.1 mice melted (9) 72 130.8 62.1 1 ✓ OT (K) mwater (g) 152.1 272.5 125.9 38 38 39 Twater,i (°C) ATwater (K) -38 -38 -39 L (J/kg) 0.15)(2260000)+0.6(333000)+(0.15)(4186)(x-100)+(0.6) (4 OL (J/kg)

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How do I calculate L?

**PART 2: Latent Heat of H₂O** **Objective:** To determine the latent heat of fusion for water. Ice at 0°C is added to warm water, causing the water to cool and the ice to melt. Equilibrium is reached at 0°C, and any remaining ice is removed. The mass of the water and cup is measured before and after adding the ice. Temperature and mass uncertainties are taken into account for accurate measurements. **Key Definitions:** - **\(C_{water}\) (Specific heat of water):** 4186 J/kg·K - **\(T_{equilibrium}\) (Equilibrium temperature):** 0°C - **\(m_{cup}\) (Mass of the cup):** 22.7 g - **\(\sigma_m\) (Mass uncertainty):** 0.1 g - **\(\sigma_T\) (Temperature uncertainty):** 1 K - **\(T_{water,i}\) (Initial water temperature before adding ice):** Variable for each trial ### Table 1: Constants and Initial Values for All Trials | Parameter | Value | |---------------------|--------| | \(C_{water}\) (J/kg·K) | 4186 | | \(T_{equilibrium}\) (°C) | 0 | | \(m_{cup}\) (g) | 22.7 | | \(\sigma_m\) (g) | 0.1 | | \(\sigma_T\) (K) | 1 | ### Table 2: Experimental Data for Each Trial | Trial | \(m_{water+cup,i}\) (g) | \(m_{water+cup,f}\) (g) | \(m_{ice melted}\) (g) | \(m_{water}\) (g) | \(T_{water,i}\) (°C) | \(\Delta T_{water}\) (K) | \(L\) (J/kg) | \(\sigma_L\) (J/kg) | |-------|--------------------|---------------------|------------------|--------------|------------------|-----------------|---------------|------------------| | 1 | 174.8 | 246.8 | 72 | 152.1 | 38 | -38 |
Transcribed Image Text:**PART 2: Latent Heat of H₂O** **Objective:** To determine the latent heat of fusion for water. Ice at 0°C is added to warm water, causing the water to cool and the ice to melt. Equilibrium is reached at 0°C, and any remaining ice is removed. The mass of the water and cup is measured before and after adding the ice. Temperature and mass uncertainties are taken into account for accurate measurements. **Key Definitions:** - **\(C_{water}\) (Specific heat of water):** 4186 J/kg·K - **\(T_{equilibrium}\) (Equilibrium temperature):** 0°C - **\(m_{cup}\) (Mass of the cup):** 22.7 g - **\(\sigma_m\) (Mass uncertainty):** 0.1 g - **\(\sigma_T\) (Temperature uncertainty):** 1 K - **\(T_{water,i}\) (Initial water temperature before adding ice):** Variable for each trial ### Table 1: Constants and Initial Values for All Trials | Parameter | Value | |---------------------|--------| | \(C_{water}\) (J/kg·K) | 4186 | | \(T_{equilibrium}\) (°C) | 0 | | \(m_{cup}\) (g) | 22.7 | | \(\sigma_m\) (g) | 0.1 | | \(\sigma_T\) (K) | 1 | ### Table 2: Experimental Data for Each Trial | Trial | \(m_{water+cup,i}\) (g) | \(m_{water+cup,f}\) (g) | \(m_{ice melted}\) (g) | \(m_{water}\) (g) | \(T_{water,i}\) (°C) | \(\Delta T_{water}\) (K) | \(L\) (J/kg) | \(\sigma_L\) (J/kg) | |-------|--------------------|---------------------|------------------|--------------|------------------|-----------------|---------------|------------------| | 1 | 174.8 | 246.8 | 72 | 152.1 | 38 | -38 |
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