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2 November, 14:08

You have a 12 oz. can (355 mL) of beer. You test the temperature and see that it reads 0◦C. Now this isn't just any beer; this is Guinness and you've heard that Guinness is best at room temperature (20◦C). If the specific heat 3 of Guinness is 4.186 J/g· ◦C, how much heat should you add in order to raise the temperature? The density of Guinness is 1.2 g/mL.

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  1. 2 November, 14:29
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    3.5 * 10³ J

    Explanation:

    The heat required to raise the temperature of the beer can be calculated using the following expression.

    Q = c * m * ΔT

    where,

    Q: heat

    c: specific heat capacity

    m: mass

    ΔT: change in the temperature

    The volume of the beer is 35 mL and its density 1.2 g/mL. The mass of the beer is:

    mass = volume * density

    35 mL * (1.2 g/mL) = 42 g

    Q = c * m * ΔT

    Q = (4.186 J/g.°C) * 42 g * (20]°C - 0°C) = 3.5 * 10³ J
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