Heat needed to raise the temperature of \(1\,kg\) water through \(80\,^{o} \mathrm{C}\)
\( = ms.\,\Delta T \times 4.2\,{\rm{J}}/{\rm{cal}}\)
\( = 1000\,{\rm{g}} \times 1\,{\rm{cal}}/{\rm{g}} \times 80 \times 4.2\,{\rm{J}}/{\rm{cal}}\)
\( \therefore \) Time taken \({=\frac{1000 \times 1 \times 80 \times 4.2}{880}=\frac{336 \times 10^{3}}{880}} \)
\({=382\, \mathrm{s}=6.3\, \mathrm{min}}\)