physics

A cube of ice is take from the freezer at -8.5C and placed in a 95g calorimeter aluminum cup containing 310g of water at 20degC. The final situation is observed to be all water at 17degC. What was the mass of the ice cube?

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  1. The sum of heats gained is zero.

    HeatgainedbyicewarmigtoOC + heatgainedmeltingIcd+ heat gained by aluminum+heat gained by original water=0

    massice*Cice*(0-8.5C)+massice*Hf+95*Calum*(17-20)+310*Cwater*(17-20)=0
    solve for mass of ice.

  2. 19.276g

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  3. m cice �
    0 − (−8.5)�
    | {z }
    ice from −8.5
    ◦C to 0◦C
    + m Lwater
    | {z }
    ice melts at 0◦C
    + m cwater
    17 − 0

    | {z }
    water from 0◦C to 17◦C
    = 0.300cwater
    20 − 17�
    | {z }
    water from 20◦C to 17◦C
    + 0.075cAl
    20 − 17�
    | {z }
    Al from 20◦C to 17◦C
    ⇒ m

    2090�
    8.5 + m

    3.33 × 105

    + m

    4186�
    17 = 0.300 �
    4186�
    3 + 0.075 �
    900�
    3
    ⇒ m

    421,927�
    = 3969.9

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