Questions: Q1 Question (10 points) A bomb calorimeter has a heat capacity of 3341 J/°C. A sample of cinnamon weighs 1.915 g in the calorimeter resulting in a temperature increase from 25.53° to 31.28°C. 1st attempt: How much heat was created by the combustion of cinnamon? See Periodic Table Get Hint

 Q1 Question (10 points)

A bomb calorimeter has a heat capacity of 3341 J/°C. A sample of cinnamon weighs 1.915 g in the calorimeter resulting in a temperature increase from 25.53° to 31.28°C.

1st attempt:

How much heat was created by the combustion of cinnamon?

See Periodic Table

Get Hint
Transcript text: Q1 Question (10 points) A bomb calorimeter has a heat capacity of 3341 J/°C. A sample of cinnamon weighs 1.915 g in the calorimeter resulting in a temperature increase from 25.53° to 31.28°C. 1st attempt: How much heat was created by the combustion of cinnamon? See Periodic Table Get Hint
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Solution

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Solution Steps

Step 1: Identify the given values

We are given the following values:

  • Heat capacity of the bomb calorimeter, \( C = 3341 \, \text{J/°C} \)
  • Initial temperature, \( T_{\text{initial}} = 25.53 \, \text{°C} \)
  • Final temperature, \( T_{\text{final}} = 31.28 \, \text{°C} \)
  • Mass of the cinnamon sample, \( m = 1.915 \, \text{g} \)
Step 2: Calculate the temperature change

The temperature change, \( \Delta T \), is calculated as: \[ \Delta T = T_{\text{final}} - T_{\text{initial}} \] Substituting the given values: \[ \Delta T = 31.28 \, \text{°C} - 25.53 \, \text{°C} = 5.75 \, \text{°C} \]

Step 3: Calculate the heat created by the combustion

The heat created by the combustion, \( q \), is given by the formula: \[ q = C \cdot \Delta T \] Substituting the given values: \[ q = 3341 \, \text{J/°C} \times 5.75 \, \text{°C} = 19210.75 \, \text{J} \]

Final Answer

The heat created by the combustion of cinnamon is: \[ \boxed{19210.75 \, \text{J}} \]

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