Enthalpy Calculations
Key Concepts
- The heat content of a chemical system is called the enthalpy (symbol: H)
- The enthalpy change (H) is the amount of heat released or absorbed when a chemical reaction occurs at constant pressure.
- H = H(products) - H(reactants)
- H is specified per mole of substance as in the balanced chemical equation for the reaction
The enthalpy change, or H, for each reaction is unique. So what relationship exists between the heat produced or absorbed by a reaction and the amount of reacting substance?
The energy change in these reactions varies directly as the number of moles of substance reacted or formed. The factor that determines the amount of heat absorbed or released is the H of the reaction:
Moles of compound reacted or formed | Varies directly with | Heat absorbed or released in the reaction |
<---------------------> | ||
H reaction (kJ) |
The energy is a variable because it differs from one reaction to another. However, it is a given that it is going to be positive when it is absorbed (i.e LHS, or reactants side); and negative when it is produced (i.e RHS, or products side).
Examine the following reaction:
2 C4H10 (l) + 13 O2 (g) ---> 8 CO2 (g) + 10 H2O (g) + 5315 kJ
The equation tells us that 8 moles of CO2 (g) releases 5317 kJ , since the relationship is a direct one then 2 moles would release one quarter as much heat or 2 moles would release 1,329 kJ.
To calculate heat changes using equations, we will perform the following steps
1) calculate the number of moles of substance reacted or formed.
2) create a proportion using the balances and heat in the chemical equation.
3) solve for missing quantity.
Question:
Calculate the amount of heat released when 25.0 grams of C4H10 (l) is burned in oxygen using the equation above.
Solution:
.
Calculate the number of moles of C4H10 (l), and times it by the energy per one mole.
MM of C4 is 12x4= 48.0 g/mol
MM of H10 is 1x10=10.0 g/mol
Total MM is 58.0 g/mol
Therefore,
the conversion is from grams to moles to energy (heat).
25.0 g x 1 mole x 2657.5 KJ = 1145.47 KJ ---> ( 3 sig figs) = 1150 KJ
58.0 g 1 mole
So 1150 KJ of heat would be released when 25 grams is burned.