Calculate the molar enthalpy for dissolving 25 g of NaCl in 100g of water inside a calorimeter. The calorimeter heat capacity is 500 J/c. The initial temperature is 25C and the final temperature is 26.5 C

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**Problem Statement:**

Calculate the molar enthalpy for dissolving 25 g of NaCl in 100 g of water inside a calorimeter. The calorimeter heat capacity is 500 J/°C. The initial temperature is 25°C and the final temperature is 26.5°C.

**Explanation:**

To solve this problem, one must use the formula for heat transfer in a calorimeter:

Q = (C_calorimeter + m_water * c_water) * ΔT

Where:
- Q is the heat absorbed or released (in Joules).
- C_calorimeter is the heat capacity of the calorimeter (500 J/°C).
- m_water is the mass of the water (100 g).
- c_water is the specific heat capacity of water (4.18 J/g°C, commonly used value).
- ΔT is the change in temperature (final temperature - initial temperature).

The molar enthalpy (ΔH) can be calculated by relating Q to the moles of NaCl dissolved:

ΔH = -Q / n

Where n is the number of moles of NaCl. Calculate n using NaCl's molar mass (58.44 g/mol).
Transcribed Image Text:**Problem Statement:** Calculate the molar enthalpy for dissolving 25 g of NaCl in 100 g of water inside a calorimeter. The calorimeter heat capacity is 500 J/°C. The initial temperature is 25°C and the final temperature is 26.5°C. **Explanation:** To solve this problem, one must use the formula for heat transfer in a calorimeter: Q = (C_calorimeter + m_water * c_water) * ΔT Where: - Q is the heat absorbed or released (in Joules). - C_calorimeter is the heat capacity of the calorimeter (500 J/°C). - m_water is the mass of the water (100 g). - c_water is the specific heat capacity of water (4.18 J/g°C, commonly used value). - ΔT is the change in temperature (final temperature - initial temperature). The molar enthalpy (ΔH) can be calculated by relating Q to the moles of NaCl dissolved: ΔH = -Q / n Where n is the number of moles of NaCl. Calculate n using NaCl's molar mass (58.44 g/mol).
Expert Solution
Step 1

Given:

The mass of NaCl = 25 g

The mass of water taken = 100 g

The calorimeter heat capacity = 500 J/oC

The initial temperature = 25 oC

The final temperature = 26.5 oC

We have to calculate the molar enthalpy change.

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