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
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
Solution
Solution Steps
Step 1: Identify the given values
We are given the following values:
Heat capacity of the bomb calorimeter, \( C = 3341 \, \text{J/°C} \)
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:
\[
\boxed{19210.75 \, \text{J}}
\]