a reaction witha known q is performed in a bomb calorimeter and is found that 10.0 kj of heat is required to raise the temperature of the calorimeter by 2.15 degrees C. calculate the heat capacity of the calorimeter.
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To calculate the heat capacity of the calorimeter, we can use the formula:
Heat Capacity (C) = Q / ΔT
Where:
- Q is the heat absorbed or released by the calorimeter
- ΔT is the change in temperature of the calorimeter
Given:
- Q = 10.0 kJ
- ΔT = 2.15 °C
Now, let's perform the calculation:
Heat Capacity (C) = 10.0 kJ / 2.15 °C
To ensure consistent units, we need to convert kJ to J and °C to Kelvin (K).
1 kJ = 1000 J
So, 10.0 kJ = 10,000 J
Also, to convert from °C to K, we use the equation:
K = °C + 273.15
ΔT = 2.15 °C + 273.15 K = 275.3 K
Now we can substitute these values into the formula:
Heat Capacity (C) = 10,000 J / 275.3 K = 36.289 J/K
Therefore, the heat capacity of the calorimeter is 36.289 J/K.