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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?

  • physics -

    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.

  • physics -

    19.276g

  • physics -

    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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