The amount of energy released by burning a fuel source, measured in energy per mass, is called the fuel value. If all of the energy obtained from burning 1.21 lb of ethane (fuel value is 11.36 kcal / g ) is used to heat 121.5 kg of water at an initial temperature of 20.0 ∘ C, what is the final temperature?

Explanation:

Energy from burning Ethane =1.21 lb

Converting the lb to g

1 lb = 453.59g

Then, the mass of Ethane in gram is

1.21×453.59=548.844g

Fuel heat energy = Mass of ethane × fuel value

Fuel energy = 453.59×11.36

Fuel energy = 6234.87Kcal

Note=1kcal=1°C/kg

Fuel energy =6234.87°C/kg

Then,

∆T = energy / mass heated

∆T=6234.87 / 121.5kg

∆T=51.32°C

Then, the final temperature Is given as

Tfinal= Tinitial + ∆T

Tfinal= 20+51.32

Tfinal=71.32°C

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