You are camping and wish to bake an apple crisp using your butane cooker. The crisp needs 1.5 x 103 kJ of heat per kg to completely cook and the combustion of butane (C4H10) gas produces 2877.3 kJ of thermal energy. Your cooker contains 100.0 g of butane. How much apple crisp can you cook (in lbs) if 80% of the energy from the reaction is lost to the great outdoors?
3.7 lbs
1.5 lbs
5.8 lbs
0.73 lbs
To determine how much apple crisp can be cooked, we need to calculate the total amount of energy available from the combustion of butane and then consider the energy lost to the environment.
First, let's convert the mass of butane from grams to kilograms:
100.0 g = 100.0 g / 1000 = 0.1 kg
Next, we calculate the total energy available from the combustion of butane:
Total energy = 0.1 kg butane * 2877.3 kJ/kg = 287.73 kJ
Now, let's consider the energy lost to the environment. We are told that 80% of the energy is lost, so we calculate the energy remaining:
Energy remaining = 287.73 kJ * (1 - 0.80) = 287.73 kJ * 0.20 = 57.546 kJ
Finally, we divide the total energy required to cook the apple crisp by the energy available to determine the amount of apple crisp that can be cooked:
Amount of apple crisp = Energy remaining / (1.5 x 10^3 kJ/kg) = 57.546 kJ / (1.5 x 10^3 kJ/kg) = 0.038364 kg
To convert the mass from kilograms to pounds:
0.038364 kg * 2.20462 lbs/kg ≈ 0.0846 lbs
Rounding to the nearest hundredth, we can cook approximately 0.08 lbs of apple crisp.
Therefore, the closest answer choice is 0.73 lbs.