Let’s try a question from Friday...
When 50 mL of 1.0 mol/L hydrochloric acid is neutralized
completely by 75 mL of 1.0 mol/L sodium hydroxide in a
polystyrene cup calorimeter, the temperature of the total
solution changes from 20.2°C to 25.6°C. Determine the
enthalpy change that occurs in the chemical system.
ΔrH = Q
= mc Δt
=(50+75)g x 4.19 J/g•°C x (25.6-20.2)°C
=2.83 kJ
The enthalpy change for the neutralization of HCl in this context is
recorder as -2.83 kJ because it’s an exothermic reaction.
Molar Enthalpies
Sometimes it is better to know the enthalpy change per
unit chemical amount (i.e. per mole) so that you can
relate the enthalpy change to a chemical reaction
equation that is balanced in moles.
Molar enthalpy of reaction is the enthalpy change in a
chemical system per unit chemical amount (per mole)
of a specified chemical undergoing change in the system
at constant pressure.
Enthalpy change
of reaction
Molar enthalpy
of reaction
ΔrH = nΔrHm
Note: the ‘r’s can be
switched with a ‘c’s
for combustion
reactions
Chemical amount
(moles)
Where do I find molar quantities
Molar quantities are often referenced or memorized
Atomic molar masses are from the periodic table
molar volume of any gasses at STP is 22.4 L/mol
We can use these to predict, say, the enthalpy of
combustion (ΔcH)
Sample problem
Predict the change in enthalpy due to the combustion of
10.0 g of propane used in a camp stove.
1) First you have to determing the change in enthalpy for
the combustion ΔcH
ΔcH = nΔcHm
To calculate ΔcH we need to know the chemical amount and
molar enthalpy of combustion ΔcHm
n= 10.0 g x 1/44.11g/mol (molar mass)
Molar enthalpy of combustion of propane is: -2043.9 kJ/mol
Answer
ΔcH = nΔcHm
= 10.0 g x 1/44.11 g/mol x (-2043.9 kJ/mol)
= - 463 kJ
Another problem
Predict the enthalpy change due to the combustion of
10.0g of butane in a camp heater. The molar enthalpy of
combustion to produce water vapour is -2657.3 kJ/mol
ΔcH = nΔcHm
= 10.0 g x 1/58.14g/mol x (-2657.3 kJ/mol)
= - 457 kJ
Remember...
Δ H = Q therefore
nΔcHm = mcΔt
You can use this to determine an unknown
but be careful, in calorimetry, the right
hand side is all about water and the left
is about the fuel.
Homework
Questions 1-7 and 11 on page 494