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Question:

What mass of LP gas is necessary to heat 1.3 L of water with the following information?

LP gas burns according to the following exothermic reaction: C3H8(g)+5O2(g)--gt;3CO2(g)+4H2O(g)delta H of reaction=-2004 kjWhat mass of LP gas is necessary to heat 1.3 L of water from room temperature 25 C to boiling 100. C? Assume that during heating, 14% of the heat emitted by the LP gas combustion goes to heat the water. The rest is lost as heat to the surroundings.

Answer:

mass of water that needs to be put to boiling point Mass Water = density volume = (1000 kg/m^3) (1.3)(0.1)^3 = 1.3 kg = 1300 grs of water It takes 4.184 joules to elevate 1 degree of temperature per grm of water. So the heat you need to increase the temp from 25 to 100 is Heat = 4.184 (1300) = 5439.2 J The heat exchanger appears to have an efficiency of 14%, then the amount of heat required from the propane to heat up the water is Heat from propane = 5439 / 0.14 = 38850 J The heat released by the combustion of LP gas is 2004 kJ/mol of propane. Then, the number of moles that you need is Moles of Propane = 38850 / 2004E3 = 0.019 moles Multiply that by the molecular mass you get Mass of propane = 0.019 * 44.1 = 0.85 grs of LP gas

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