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The camel stores the fat tristearin (C57H110O6) in its hump. As well as being a source of energy, the fat is also a source of water because, when it is used, the reaction 2 C57H110O6(g) + 163 O2(g) 114 CO2(g) + 110 H2O(ℓ) takes place. What mass of water is available from 2.2 pound of this fat? Answer in units of g.

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Answer:

1109 g H₂O

Explanation:

2.2 pounds can be converted to grams using a conversion ratio:

(2.2lb)(453.592g/lb) = 997.9024 g C₅₇H₁₁₀O₆

The mass in grams is converted to moles using the molecular weight of tristearin (891.48 g/mol)

(997.9024 g)(mol/891.48g) = 1.119...mol C₅₇H₁₁₀O₆

The moles of C₅₇H₁₁₀O₆ can be related to the moles of water through the molar ratio:

(1.119mol C₅₇H₁₁₀O₆)(110 H₂O/2 C₅₇H₁₁₀O₆) = 61.545 mol H₂O

The mass of water is then calculated using the molecular weight (18.02 g/mol):

(61.545 mol)(18.02 g/mol) = 1109 g H₂O

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