Hello, may I please get some help with these questions?
1. The complete combustion of propane is represented by the thermochemical equation: C3H8+5O2 --> 3CO2+4H2O, (delta)H=-2220kJ per mol. Calculate the energy released per tonne of carbon dioxide produced when propane undergoes complete combustion.
2. An inexperienced hiker wishes to use his lighter, which contains 3g of butane, to heat the water in his mug. If his mug contains 150mL of water initially at 20 degrees Celsius, and 70% of the heat generated by the lighter is lost to surroundings, what will be the temp of the water when the fuel in the lighter is exhausted?
1).
Step 1: Calculate the mol of CO2 by using the formula n = m/M
n(CO2) = \( \frac{10^6}{44} \) =22727.27 mol
Step 2: Using stoichiometric ratios, calculate the mol of propane
\( \frac{n(propane)}{n(CO2} = \frac{1}{3} \implies n(propane) = \frac{n(CO2)}{3} \) = 7575.76 mol
Step 3: Use the formula H = n x Hc to calculate energy release.
H = 7575.76 x 2220 = 16.82 GJ
Therefore 16.82 Gj of energy is released per tonne of CO2 emitted.
2)
Step 1: write the thermochemical equation for butane (it isn't necessary but may help if there are questions that follow).
2C4H10 (l) + 13O2(g) -> 8CO2(g) + 10H2O(l) (low pressure so water is liquid) H = -5748 kJ mol^-1
Step 2: Calculate the mol of butane
n(butane) = 3/58 = 0.0517 mol
Step 3: Calculate energy release
H = 0.0517 x 2784 = 144 kJ
Step 4: Determine useful energy
144 x 0.3 = 43.2 kJ = 43200 J
St3p 5: Use Q =mcT
43200= 150 x 4.18 x (Tf - 20)
Tf - 20 = 68.9
Tf = 88.9 Celsius