How much heat is required to raise T of solid ethanol from -130 to -114? That will be mass ethanol x specific heat solid ethanol x (Tf-Ti) = ?
How much heat has is left?
5870 J - ? = x
How much heat is required to melt the ethanol. That is mass ethanol x heat fusion = y
x-y = z = heat remaining from the original 5870 J.
z = mass liquid ethanol x specific heat liquid ethanol x (Tf - Ti). Substitute and solve for Tf.
Ethanol (C2H5OH) has been produced since antiquity by the fermentation of fruits and vegetables. Given the following data, if 5.87 kJ of energy are transferred to 13.3 g of frozen ethanol at -130.0 °C, what is the final temperature of the sample?
Heat capacity (solid) = 0.97 J/°C • g
Heat capacity (liquid) = 2.72 J/°C • g
Heat capacity (gas) = 2.42 J/°C • g
Normal melting point = −114.0 °C
Normal boiling point = 78.4 °C
Heat of fusion = 7.61 kJ/mol
Heat of vaporization = 39.3 kJ/mol
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