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Specific Heat Problem?

A 200.0g metal at 110°C is dipped into 500.0g of cold water at 10.0°C. If the resulting temperature of the mixture is 11.19°C, what is the specific heat of lead in cal/g °C?

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  • ?
    Lv 7
    9 years ago
    Favorite Answer

    Heat lost by the metal = Heat gained bythe water.

    mcΔT = Q: Where m = mass; c = specific heat: ΔT = temp. change: Q = Heat absorbed or released.

    Heat lost by the Lead:

    = 200g x c (cal/g/°C) x 98.81 °C ΔT = 19,762 x c cal/g/°C

    Heat gained by the water.

    = 500.0g x 1.0 cal/g/°C x (11.19°C -10 ) = 500 g x 1.19°C ΔT = 595 cal

    Heat lost = heat gained

    c x 19,762 = 595 cal

    c (SH of lead = 595 / 19762 = 0.03 cal/g/°C

    (0.03 x 4.184 J/g/°C = 0.126 J/g/°C).

  • 4 years ago

    Keith - it is been a real long term for me because chemistry... and that i'm, needless to say, "winging" this: to strengthen the temperature of the 250 g of water by ability of 1ºC demands 250 x 4.184 = a million,046 J. To get that plenty warmth out of 155g of Cu the copper will would desire to cool (a million,046)/(.385 x one hundred fifty five) = 17.53ºC the merely precise temperature... of path... would be T. The copper cools 17.fifty 3 cases as plenty via fact the water warms the version between the nice and cozy copper and the cool water is, initially, one hundred thirty.2 C stages. i'm questioning of the temperature hollow ultimate in increments of 18.fifty 3 C stages. it relatively is by the fact, for each 1º strengthen in water temp., there's a 17.53º decrease interior the copper's temp... 18.53º closure. one hundred thirty.2/18.fifty 3 = 7.02. there'll be 7 of those 1º water temp. will strengthen; water temp. ends at 26.8º. permit's examine: If the copper cooled an entire of seven x 17.53º it is going to cool approximately 123.2º. that would have the copper end at one hundred fifty - 123.2 = 26.8º sure! do no longer you in user-friendly terms like it while it works? Richard

  • 9 years ago

    heat loss by metal=heat gained by water.

    C=Q/temperature change

    C=heat capacity

    Q=amount of thermal energy transferred in Joules

    C=mc(change in temperature)

    m=mass

    c=specific heat capacity

  • 9 years ago

    500 x 1.19 = 595 cal

    110 = 11.9 = 98.1 deg C

    595 cal / (200 ) = 2.975 cal / gram

    2.975 / 98.1 = .03 cal / g / deg C

    This doesn't look right.

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