Assume that 0.361 g of diborane is combusted in a calorimeter whose heat capacity (Ccalorimeter) is 7.854 kJ/°C at 25.59°C. What is the final temperature of the calorimeter?
To determine the final temperature of the calorimeter, we need to calculate the amount of heat generated by the combustion of diborane and then use that information to calculate the temperature change of the calorimeter.
Here are the steps to find the final temperature:
Step 1: Calculate the heat released by the combustion of diborane
To determine the heat released, we need to know the enthalpy of combustion of diborane (ΔHc) and the number of moles of diborane burned.
Step 2: Convert the mass of diborane to moles
To convert the mass of diborane (0.361 g) to moles, we need to know the molar mass of diborane (B2H6).
Step 3: Calculate the heat capacity of the calorimeter
Given that the heat capacity of the calorimeter (Ccalorimeter) is 7.854 kJ/°C, we can use this information to determine the amount of heat absorbed by the calorimeter during the reaction.
Step 4: Use the heat released and heat capacity to calculate the temperature change
We use the equation Q = mcΔT, where Q is the heat released, m is the mass of the calorimeter (which is negligible), c is the heat capacity of the calorimeter, and ΔT is the change in temperature. Rearrange the equation to solve for ΔT.
Step 5: Calculate the final temperature
The final temperature can be calculated by adding the change in temperature to the initial temperature of the calorimeter.
By following these steps, we can determine the final temperature of the calorimeter.