\(0.16 \mathrm{~g}\) of methane when burnt increases the temperature of \(100 \mathrm{~g}\) of water by \(40^{\circ}(\mathrm{C})\), what is the heat of combustion of methane if the heat capacity of water is \(4.2 \mathrm{Jg}^{-10} \mathrm{C}^{-1}\) ? \(\left(\mathrm{CH}_{4}=16 \right)\).

A. \(1,160 \mathrm{kJmol}^{-1}\)
B. \(1,180 \mathrm{kJmol}^{-1}\)
C. \(1,560 \mathrm{kJmol}^{-1}\)
D. \(1,600 \mathrm{kJmol}^{-1}\)
E. \(1,680 \mathrm{kJmol}^{-1}\)  

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Correct Answer: E