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A jet plane carrying 3,000 kg of ethane burns off all the...

A jet plane carrying 3,000 kg of ethane burns off all the gas forming water and carbondioxide. if all the carbondioxide is expelled and all the water formed is condensed and kept on board the plane, then the gain in weight is

A.

1,800 kg

B.

900 kg

C.

600 kg

D.

2,400 kg

E.

1,200 kg

Correct answer is D

2C2H6+7O24CO2+6H2O

addition of oxygen causes weight gain, expelled CO2 results in weight loss

for oxygen added;

2moles C2H6 = 7moles O2

2(30)g  C2H6 = 7(2)(16)g O2

3000kg  C2H6 = X kg O2

cross multiplying X = 11200kg

for CO2 expelled;

2moles  C2H6 = 4moles CO2

2(30)g  C2H6 = 4(44)g  CO2

3000kg C2H6 = Y kg  CO2

cross multiplying Y = 8800kg

since X > Y, the plane has a net weight gain.

Net weight gain = X - Y = 11200-8800 = 2400kg.