Physics

posted by .

Suppose 100 g of water at 20°C is poured over a 70-g cube of ice with a temperature of -8°C. If all the ice melts, what is the final temperature of the water? If all of the ice does not melt, how much ice remains when the water–ice mixture reaches equilibrium?

I'm aware that not of the ice melts, but how do I determine how much ice is left?

  • Physics -

    You balance the heat equation.

    heat gained by melting ice+heat gained by remaining ice warming up + heat gained by hot water=0

    This of course means that the nonmelted ice is at a final temperature of zero, otherwise there cannot be an ice/water mxture.

    Heat gained by melting ice:
    (70-m)Hf+ (70-m)cice(8)
    Heat gained by nonmelting ice:
    (m*cice(8)
    heat gained by hot water: 100*cwater(0-20)
    add them, set to zero, solve for m.

  • Physics -

    I'm getting -25.1 g when I use this equation.

  • Physics -

    .07*334kJ-m334+.07*2.1*8+.1*4.18*(-20)=0

    m= - 1/334 * (.418*20-.07*334-.07*16.8)

    which is not a negative number....

    check my work, most of it was in my head.

  • Physics -

    I forgot that 70g was 0.07 kg. I was using 0.007 kg. Thank you. This question makes a lot more sense now.

  • Physics -

    7.896 degrees celsius

  • Physics -

    7.896 degrees celsius and 15.125 g of ice

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    25) A 75-g ice cube at 0 C is placed in 825g of water at 25 C. a) What is the final temperature of the mixture?
  2. Chemistry

    When ice at 0°C melts to liquid water at 0°C, it absorbs 0.334 kJ of heat per gram. Suppose the heat needed to melt 30.7 g of ice is absorbed from the water contained in a glass. If this water has a mass of 0.189 kg and a temperature …
  3. physics

    A 40-g block of ice is cooled to −71°C and is then added to 590 g of water in an 80-g copper calorimeter at a temperature of 27°C. Determine the final temperature of the system consisting of the ice, water, and calorimeter. …
  4. physics

    A 40-g block of ice is cooled to −71°C and is then added to 590 g of water in an 80-g copper calorimeter at a temperature of 27°C. Determine the final temperature of the system consisting of the ice, water, and calorimeter. …
  5. physics

    Suppose 300 g of water at 20°C is poured over a 50-g cube of ice with a temperature of -6°C. If all the ice melts, what is the final temperature of the water?
  6. chemistry

    Suppose you add a small ice cube to room temperature water in a coffee cup calorimeter. What is the final temperature when all the ice is melted?
  7. physics

    A 63.8 kg block of silver is at initially at 107 C. 1.0 kg of ice at its freezing point is placed onto the block to cool it. As the ice melts, the water is free to flow off (so that the water never increases in temperature). After …
  8. physics, please help

    A 63.8 kg block of silver is at initially at 107 C. 1.0 kg of ice at its freezing point is placed onto the block to cool it. As the ice melts, the water is free to flow off (so that the water never increases in temperature). After …
  9. Physics

    A 0.0500 kg ice cube at -30.0◦C is placed in 0.400 kg of 35.0◦C water in a very well insulated container. What is the final temperature?
  10. Physics

    A 0.0500 kg ice cube at -30.0◦C is placed in 0.400 kg of 35.0◦C water in a very well insulated container. What is the final temperature?

More Similar Questions