physics

posted by .

An insulated Thermos contains 140 cm3 of hot coffee at 89.0°C. You put in a 11.0 g ice cube at its melting point to cool the coffee. By how many degrees (in Celsius) has your coffee cooled once the ice has melted and equilibrium is reached? Treat the coffee as though it were pure water and neglect energy exchanges with the environment. The specific heat of water is 4186 J/kg·K. The latent heat of fusion is 333 kJ/kg. The density of water is 1.00 g/cm3.

  • physics -

    At equilbrium, the melted ice (mass m) and the water it changes into will gain as much heat as the original coffee (mass M) loses.

    0.140g*(89 - T)*4186
    = 0.011*[333,000 + T*4186]

    52,160 -586 T = 3663 + 46 T
    632 T = 48,497

    T = 77 C

    Solve for final temperature T

  • physics -

    Heat releasing from coffee (water in this case) is equal to the heat gain for ice melting to water at 0 deg plus water to raise for the final temp.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    I was having trouble with two different physics problems when studying for a test. Any help is appreciated. 1.) A 11.6-kg block of ice has a temperature of -14.5 °C. The pressure is one atmosphere. The block absorbs 6.87 x 106 J of …
  2. Physics

    I was having trouble with two different physics problems when studying for a test. Any help is appreciated. 1.) A 11.6-kg block of ice has a temperature of -14.5 °C. The pressure is one atmosphere. The block absorbs 6.87 x 106 J of …
  3. physics

    Your 300mL cup of coffee is too hot to drink when served at 87C. What is the mass of an ice cube, taken from a -20C freezer, that will cool your coffee to a pleasant 58C?
  4. Physics

    5) An insulated Thermos contains 190 cm3 of hot coffee at 79.0°C. You put in a 11.0 g ice cube at its melting point to cool the coffee. By how many degrees (in Celsius) has your coffee cooled once the ice has melted and equilibrium …
  5. physics

    An insulated Thermos contains 140 cm3 of hot coffee at 89.0°C. You put in a 11.0 g ice cube at its melting point to cool the coffee. By how many degrees (in Celsius) has your coffee cooled once the ice has melted and equilibrium is …
  6. Physics

    A thermos contains 150cm3 of coffee at 85° C. To cool the coffee, you drop two 10g ice cubes into the thermos. The ice cubes are initially at 0° C and melt completely. What is the final temperature of the coffee?
  7. Chemistry

    At a local convenience store, you purchase a cup of coffee, but, at 98.4oC, it is too hot to drink. You add 23.0 g of ice that is –2.2oC to 248 mL of the coffee. What is the final temperature of the coffee?
  8. PHYSICS

    A thermos contains 152 cm3 of coffee at 93.8 °C. To cool the coffee, you drop two 11.6-g ice cubes into the thermos. The ice cubes are initially at 0 °C and melt completely. What is the final temperature of the coffee in degrees …
  9. Geometry

    Ray is late for work, but would like to drink some coffee before he leaves. The coffee in the pot is too hot, so Ray puts 20 small ice cubes in a mug before pouring in the coffee. The ice cubes measure 1 cm per side. The mug is cylindrical, …
  10. physics

    A thermos contains 147 cm3 of coffee at 95.0 °C. To cool the coffee, you drop two 12.4-g ice cubes into the thermos. The ice cubes are initially at 0 °C and melt completely. What is the final temperature of the coffee in degrees …

More Similar Questions