Calculate the heat of reaction per mole of water if addition of 25.0 mL of 0.101 M A H2SO4 to 50.0 mL of 0.103 M NaOH causes the temperature to rise by 0.99°C. Assume that for both solutions the density is 1.00 g/mol and the specific heat (s) = 4.184 J/g °C. %3D

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**Calculating the Heat of Reaction per Mole of Water**

**Problem Statement:**
Calculate the heat of reaction per mole of water if the addition of 25.0 mL of 0.101 M H₂SO₄ to 50.0 mL of 0.103 M NaOH causes the temperature to rise by 0.99°C.

**Assumptions:**
- The density of both solutions is 1.00 g/mL.
- The specific heat capacity (s) for the solutions is 4.184 J/g°C.

**Approach:**
1. **Determine the total mass of the solutions:**
\[ \text{Mass of H₂SO₄ solution} = 25.0 \text{ mL} \times 1.00 \text{ g/mL} = 25.0 \text{ g} \]
\[ \text{Mass of NaOH solution} = 50.0 \text{ mL} \times 1.00 \text{ g/mL} = 50.0 \text{ g} \]
\[ \text{Total mass (m)} = 25.0 \text{ g} + 50.0 \text{ g} = 75.0 \text{ g} \]

2. **Calculate the heat absorbed/released using the formula:**
\[ q = m \times s \times \Delta T \]
\[ q = 75.0 \text{ g} \times 4.184 \text{ J/g°C} \times 0.99 \text{°C} \]
\[ q = 310.611 \text{ J} \]

3. **Determine the moles of water produced:**
\[ \text{Moles of H₂SO₄} = 25.0 \text{ mL} \times 0.101 \text{ M} = 0.002525 \text{ mol} \]
\[ \text{Moles of NaOH} = 50.0 \text{ mL} \times 0.103 \text{ M} = 0.00515 \text{ mol} \]

Since H₂SO₄ reacts with NaOH in a 1:2 molar ratio:
\[ \text{Moles of NaOH needed} = 2 \times \text{Moles of H₂SO
Transcribed Image Text:**Calculating the Heat of Reaction per Mole of Water** **Problem Statement:** Calculate the heat of reaction per mole of water if the addition of 25.0 mL of 0.101 M H₂SO₄ to 50.0 mL of 0.103 M NaOH causes the temperature to rise by 0.99°C. **Assumptions:** - The density of both solutions is 1.00 g/mL. - The specific heat capacity (s) for the solutions is 4.184 J/g°C. **Approach:** 1. **Determine the total mass of the solutions:** \[ \text{Mass of H₂SO₄ solution} = 25.0 \text{ mL} \times 1.00 \text{ g/mL} = 25.0 \text{ g} \] \[ \text{Mass of NaOH solution} = 50.0 \text{ mL} \times 1.00 \text{ g/mL} = 50.0 \text{ g} \] \[ \text{Total mass (m)} = 25.0 \text{ g} + 50.0 \text{ g} = 75.0 \text{ g} \] 2. **Calculate the heat absorbed/released using the formula:** \[ q = m \times s \times \Delta T \] \[ q = 75.0 \text{ g} \times 4.184 \text{ J/g°C} \times 0.99 \text{°C} \] \[ q = 310.611 \text{ J} \] 3. **Determine the moles of water produced:** \[ \text{Moles of H₂SO₄} = 25.0 \text{ mL} \times 0.101 \text{ M} = 0.002525 \text{ mol} \] \[ \text{Moles of NaOH} = 50.0 \text{ mL} \times 0.103 \text{ M} = 0.00515 \text{ mol} \] Since H₂SO₄ reacts with NaOH in a 1:2 molar ratio: \[ \text{Moles of NaOH needed} = 2 \times \text{Moles of H₂SO
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