Energy required for boiling of "12.5 L" of water:
"1. \\" Energy required to increase it's temperature from "23.4\\degree C\\to100\\degree C"
"2. \\" Energy required for boiling(Latent heat of evaporation)
"=mC(T_2-T_1)+mL_v=" "12.5 \\times 4.184\\times (100-23.4)+12.5\\times 2256=" "32206.18KJ"
Let "V" be the volume of methane required,
Mass of methane will be"=d\\times V=0.66V g" (where d is the density)
Calorific value of methane"=55KJ\/g"
"15.6" % of Total energy of methane "=" "32206.18 KJ"
"\\implies \\frac{15.6}{100}\\times 55\\times 0.66\\times V=32206.18"
"V=5687.32 L"
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