In your case, you know that the total heat capacity of the system, which includes that of the solution, is
500 J K−1
This tells you that in order to increase the temperature of the system by
1 K
, you need to provide it with
500 J
worth of heat.
Since the temperature of the solution increased by
66.5 K
, the amount of heat absorbed must have been
66.5 × 500/1 = 33250J
qsys=−n⋅ΔH
, where
n - the number of moles of copper sulfate that take part in the reaction.
ΔH - the enthalpy change of reaction per mole.
Use the solution's volume and molarity to determine how many moles of copper sulfate were present
1 × 50 × 10-3L = 0.05 mol
∆H = 33250/0.05
= 665000
= 665kJmol-1
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