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Need help with heat transfer chemistry problem?

I have a terrible professor and he never explains how to do anything. This is the question.

"What mass of water at 82 oC should be added to 120 grams of water in a container having a heat capacity of 14.0 J/oC at 9.50 oC to give a final temperature of 37.0 oC ?"

I can do all the math calculations after, but I just need an explanation as to how the problem is set up. The answer is given (75.4g water).

Any help is really appreciated. Thank you.

2 Answers

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  • Anonymous
    9 years ago
    Favorite Answer

    The heat transfer formula is:

    Q=M*S*(deltaT)

    joules = mass X specific heat X change in T. T is in Kelvin or C, depending on the units you use for specific heat, which can be j/K or j/C.

    If you need to convert to K, it's C+273=K.

    Delta T = T(final) - T(initial).

    Convert grams to kg for mass.

    I see they gave you joules/C. This means you'll have to convert specific heat to C as well, which is normally in K.

    Water has a specific heat of 4186j*kg/K

    Heat capacity is irrelevant except to help you figure out Q.

    Since they tell you T(final) and T(initial), you can figure Delta T -- T(f) = 37C, and T(i) = 82C. Since D(T) = T(f)-T(i), Delta T = 37-82, which is -45. Therefore change in T is 45C, and the reaction is endothermic *(since it's negative). -45C=228K

    Your whole equation would be:

    Q = m*s*(deltaT) [120g water] + m2*s*(deltaT) [m2=unknown amount water to change T]

    Q= .12kg*4186j.kg/K*228K + Xkg*4186j.kg/K*228K

    First you have to figure out how much energy was lost, then you can find mass.

    .12kg water*4186j/kg = 502.32

    Heat capacity 14j/C: You have a Delta T of 45C, therefore 14j/C (45) = 630.

    502.32+630 = 1132.32j

    This is Q.

    Now your whole equation =

    1132.32j = .12kg*4186j.kg/K*228K + Xkg*4186j.kg/K*228K

    Solve for x, mass (in kg) of water added.

    Should be simple!

    Hope this helps!

    :)

  • 4 years ago

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