To what temperature will 2 kg of water heat up when burning 10 g of alcohol, if all the fuel released during

| September 18, 2021 | education

To what temperature will 2 kg of water heat up when burning 10 g of alcohol, if all the fuel released during combustion is used to heat the water? the initial water temperature is 20 degrees.

To get the value of the final water temperature, we use the equality: Qs = Qw and qsp * msp = Sv * mw * (t – tn), from where we express: t – tn = qsp * msp / (Sv * mw) and t = qsp * msp / (Sv * mv) + tн.

Const: qsp – beats. the heat of combustion of alcohol (qsp = 2.7 * 10 ^ 7 J / kg); St. – beats. heat capacity of water (Sv = 4.18 * 10 ^ 3 J / (kg * K)).

Data: msp is the mass of burned alcohol (msp = 10 g, in the SI system msp = 0.01 kg); mw is the mass of heated water (mw = 2 kg); tн – initial temperature (tн = 20 ºС).

Calculation: t = qsp * msp / (Sv * mv) + tn = 2.7 * 10 ^ 7 * 0.01 / (4.18 * 10 ^ 3 * 2) + 20 ≈ 52.3 ºС.

Answer: The water temperature after heating will be equal to 52.3 ºС.



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