Coffee Density
When 38.0 mL of 0.410 M H2SO4 is added to 38.0 mL of 0.82 M KOH in a coffee-cup calorimeter at 23.50°C, the te
When 38.0 mL of 0.410 M H2SO4 is added to 38.0 mL of 0.82 M KOH in a coffee-cup calorimeter at 23.50°C, the temperature rises to 30.17°C. Calculate H of this reaction. (Assume that the total volume is the sum of the individual volumes and that the density and specific heat capacity of the solution are the same as for pure water.)
What is deltaH per mole of KOH reacted?
kJ/mol
You have 2 38.0 mL volumes, so the total volume is 76.0 mL.
The reaction is H2SO4 + 2 KOH –> 2 H2O + K2SO4
The rise in temperature (delta T) is 30.17°C – 23.50°C = 6.67°C
The heat capacity of water is 1.0 cal/(g*°C)
The density of water is 1.0 g/mL
The H of the reaction is 1.0 cal/(g*°C) * 1.0 g/mL * 76.0 mL * 6.67°C = 506.9 cal or (506.9 cal * 4.186 J/cal * 0.001 kJ/J) = 2.122 kJ
There were 0.82 mol/L of KOH, and 38.0 mL, so there were .82*.038 mol = 0.03116 mol of KOH
DeltaH per mole of KOH is 2.122 kJ / 0.03116 mol = 68.1 kJ/mol
Coffee Sorting: Density
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