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You pour 108 cm of ethanol, at a temperature of 10.0°C,

Chapter 17, Problem 82P

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QUESTION:

You pour 108 cm? of ethanol, at a temperature of 10.0°C, into a graduated cylinder initially at 20.0°C, filling it to very top. The cylinder is made of glass with a specific heat of 840 J/kg · K. and a coefficient of volume expansion of 1.2 × 10? K? ; its mass is 0.110 kg. The mass of the ethanol is 0.0873 kg. (a) What will be the final temperature of the ethanol, once thermal equilibrium is reached? (b) How much ethanol will overflow the cylinder before thermal equilibrium is reached?

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QUESTION:

You pour 108 cm? of ethanol, at a temperature of 10.0°C, into a graduated cylinder initially at 20.0°C, filling it to very top. The cylinder is made of glass with a specific heat of 840 J/kg · K. and a coefficient of volume expansion of 1.2 × 10? K? ; its mass is 0.110 kg. The mass of the ethanol is 0.0873 kg. (a) What will be the final temperature of the ethanol, once thermal equilibrium is reached? (b) How much ethanol will overflow the cylinder before thermal equilibrium is reached?

ANSWER:

Solution 82P 0 Let the final temperature be x C . 0 Specific heat of ethanol sethanol 2400 J/kg. C Mass of ethanol m = 0.0873 kg Temperature change T = (x 10) C 0 Heat gained by ethanol Q = ms ethanolT 0 0 Q = 0.0873 kg × 2400 J/kg. C × (x 10) C …..(1) Heat lost by the cylin

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