1. a Consider an aqueous reaction of equal volumes of 2.0 M HC) and 2.0 M NAOH, with a final volume of 100.0 mL and a density of 1.03 g/ml. What will the change in heat (gan) be for this reaction given a positive temperature change of 2.5 degrees Celsius? Assume a value of 4.18 Jg! Cfor Cutn

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**Problem 1: Thermochemistry Reaction**

**Question:**

**a.** Consider an aqueous reaction of equal volumes of 2.0 M HCl and 2.0 M NaOH, with a final volume of 100.0 mL and a density of 1.03 g/mL. What will the change in heat (q_solution) be for this reaction given a positive temperature change of 2.5 degrees Celsius? Assume a value of 4.18 J·g⁻¹·ºC⁻¹ for c_solution. 

**Components:**

1. **Molarity (M):** 
   - HCl: 2.0 M
   - NaOH: 2.0 M

2. **Volumes:**
   - Final volume: 100.0 mL

3. **Density:**
   - 1.03 g/mL

4. **Temperature Change (ΔT):**
   - 2.5 °C (increase)

5. **Specific Heat Capacity (c_solution):**
   - 4.18 J·g⁻¹·°C⁻¹

**Steps for Calculation:**

1. **Calculate the mass of the solution using volume and density:**
   \[ \text{Mass (m)} = \text{Volume} \times \text{Density} \]
   \[ m = 100.0 \, \text{mL} \times 1.03 \, \text{g/mL} \]
   \[ m = 103 \, \text{g} \]

2. **Use the specific heat capacity and temperature change to find the heat change:**
   \[ q_{\text{solution}} = m \times c_{\text{solution}} \times \Delta T \]
   \[ q_{\text{solution}} = 103 \, \text{g} \times 4.18 \, \text{J·g}^{-1}·\text{°C}^{-1} \times 2.5 \, \text{°C} \]

3. **Perform the multiplication:**
   \[ q_{\text{solution}} = 103 \times 4.18 \times 2.5 \]
   \[ q_{\text{solution}} \approx 1077.85 \, \text{J} \]
Transcribed Image Text:**Problem 1: Thermochemistry Reaction** **Question:** **a.** Consider an aqueous reaction of equal volumes of 2.0 M HCl and 2.0 M NaOH, with a final volume of 100.0 mL and a density of 1.03 g/mL. What will the change in heat (q_solution) be for this reaction given a positive temperature change of 2.5 degrees Celsius? Assume a value of 4.18 J·g⁻¹·ºC⁻¹ for c_solution. **Components:** 1. **Molarity (M):** - HCl: 2.0 M - NaOH: 2.0 M 2. **Volumes:** - Final volume: 100.0 mL 3. **Density:** - 1.03 g/mL 4. **Temperature Change (ΔT):** - 2.5 °C (increase) 5. **Specific Heat Capacity (c_solution):** - 4.18 J·g⁻¹·°C⁻¹ **Steps for Calculation:** 1. **Calculate the mass of the solution using volume and density:** \[ \text{Mass (m)} = \text{Volume} \times \text{Density} \] \[ m = 100.0 \, \text{mL} \times 1.03 \, \text{g/mL} \] \[ m = 103 \, \text{g} \] 2. **Use the specific heat capacity and temperature change to find the heat change:** \[ q_{\text{solution}} = m \times c_{\text{solution}} \times \Delta T \] \[ q_{\text{solution}} = 103 \, \text{g} \times 4.18 \, \text{J·g}^{-1}·\text{°C}^{-1} \times 2.5 \, \text{°C} \] 3. **Perform the multiplication:** \[ q_{\text{solution}} = 103 \times 4.18 \times 2.5 \] \[ q_{\text{solution}} \approx 1077.85 \, \text{J} \]
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