How much water taken at a temperature of 16 degrees can be heated to 80 degrees, burning alcohol weighing

How much water taken at a temperature of 16 degrees can be heated to 80 degrees, burning alcohol weighing 50 g and assuming that all the energy released during the burning of alcohol goes to heating the water.

To calculate the mass of heated water, we will use the equality: Cw * mw * (tc – tn) = qc * mc, whence mw = qc * mc / (Cw * (tc – tn)).

Variables and constants: qc – heat of combustion of alcohol (qc = 2.7 * 10 ^ 7 J / kg); mс is the mass of consumed alcohol (mс = 50 g = 0.05 kg); Cw – heat capacity of water (Cw = 4200 J / (kg * K)); tк – final temperature of heated water (tк = 80 ºС); tн – initial temperature (tн = 16 ºС).

Calculation: mw = qc * mc / (Cw * (tc – tn)) = 2.7 * 10 ^ 7 * 0.05 / (4200 * (80 – 16)) ≈ 5 kg.