Unit 7 A new liquid fuel, which has a molar mass of 112 g/mol and a density of 0

Question

Unit 7 A new liquid fuel, which has a molar mass of 112 g/mol and a density of 0.712 g/mL, is used in an automobile test run. The AH for the fuel is -555 x 103 kJ/mol. The automobile has a 20.6-gal fuel tank. The energy delivered by the combustion of the fuel is 562 × 104 kWh at 60.0 mph. comb What is the cruising range (in km) of the automobile on a full tank, assuming all the energy is transferred to the wheels? a. b. If the actual cruising range is 732 km at 60 mph, what is the efficiency of the engine? 7-104

Explanation / Answer

a)

V = 20.6 gal --> change to L

V = 20.6*3.785 = 77.971 L = 77.971*10^3 mL

change to mass

M = D*V = (77.971*10^3)(0.712) = 55515.352 g/tank

mol = mass/MW = 55515.352/112 = 495.6727 mol/tank

E = n*HRxn = (495.6727)(5.55*10^3) = 2750983.485 kJ/tank

t = E/rate = (2750983.485)/(5.62*10^4) = 48.949 h

D = v*t = (60 mi/h)(48.949 h) =  2936.94 mi

D = 2936.94 mi * 1.6 km/mi = 4726.54 km

therefore, 1 tank = 4726.54 km

b)

if actual rang eis 732 km V = 60 mph

find efficeincy

% Eff = real / theoretical * 100% = 732 / 4726.54 *100 = 15.48%

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