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3. with ethanol. The morning begins at 25°C, an a the lake that is filled with water, how much le Suppose all the water in a
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Answer #1

Calculate the mass of water.

Because the density of water = 1 g/ml

Since one liter of water has a mass of 1 kg

and the mass of 1,000,000 liters of water is mw = 1,000,000 kg.

Calculate the mass of ethanol.

Because the density of ethanol = 0.789 g/ml

Since one liter of ethanol has a mass of .789 kg

and the mass of 1,000,000 liters of ethanol is mw = 789,000 kg.

ΔT = 10oC

The heat transferred to the water using the specific heat of water is

Qw = mwcwΔT = (1,000,000 kg)(4186 J/kgºC)(10.0ºC) = 41.8 kJ.

The heat transferred to the ethanol using the specific heat of ethanol is

Qw = mwcwΔT = (789,000 kg)(2460 J/kgºC)(10.0ºC) = 19.4 kJ.

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