Question

A perfectly insulating cylindrical glass is partially full of water. At the top of the water...

A perfectly insulating cylindrical glass is partially full of water. At the top of the water is a uniform layer of ice. The temperature of the water is 0 °C, and the temperature of the air above the ice is held fixed at –23.00 °C. If the initial thickness of the ice layer is 0.0550 m, and the depth of the water below the ice is 0.0850 m, how long, in hours, will it take for the rest of the water to freeze? Assume that there is no transfer of heat through the sides or bottom of the glass, and that the ice layer can slide freely up and down the glass. The latent heat of fusion of water is 3.33 × 10^5 J/kg and the thermal conductivity of ice is 2.180 W/m·C°. The density of water near freezing is 1000.0 kg/m3 and the density of ice is 917.00 kg/m3.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
A perfectly insulating cylindrical glass is partially full of water. At the top of the water...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 10) When the air temperature is below 0 Celsius, the water of a lake freezes to...

    10) When the air temperature is below 0 Celsius, the water of a lake freezes to form an ice sheet. The time required to freeze the ice sheet is proportional to the thickness squared if the heat of fusion of the water freezing on the underside of the sheet is conducted through the sheet. Assuming the upper surface of the sheet is at -10 Celsius and the bottom at 0 Celsius, calculate the time it will take to form an...

  • Help The formation of condensation on a glass of ice water causes the ice to melt...

    Help The formation of condensation on a glass of ice water causes the ice to melt faster than it would otherwise. If 7.42 g of condensation forms on a glass containing water and 397 g of ice, how many grams will melt as a result? Assume no other heat transfer occurs. The latent heat of vaporization of water is 539 kcal/kg and the latent heat of fusion for ice is 79.8 kcal/kg.

  • z=27 b. A glass vessel with an insulating cover with a surface area of (2 +...

    z=27 b. A glass vessel with an insulating cover with a surface area of (2 + 100) cm² and (Z +15) mm thick is filled with ice at 0°C and placed in a second vessel maintained at a temperature of 100°C. Find the mass of the ice that melts per minute when the flow of heat becomes steady. Latent heat of ice = 3.3 x 105J/kg and K for glass = 1.0 W/mK. (10 Marks)

  • Heat conduction occurs through any material, represented here by a rectangular bar, whether window glass or...

    Heat conduction occurs through any material, represented here by a rectangular bar, whether window glass or walrus blubber. The temperature of the material is T2 on the left and T1 on the right, where T2 is greater than T1. The rate of heat transfer by conduction is directly proportional to the surface area A, the temperature difference T2 - T1, and the substance's conductivity k. The rate of heat transfer is inversely proportional to the thickness d. Q kA (T2-T)...

  • A 197 g cube of ice at 0◦C is dropped into 1.4 kg of water that...

    A 197 g cube of ice at 0◦C is dropped into 1.4 kg of water that was originally at 78◦C. What is the final temperature of the water after after the ice melts? The latent heat of fusion of water is 3.33 × 105 J/kg. Answer in units of ◦C.

  • The largest of the Great Lakes, Lake Superior, contains about 1.20 × 1016 kg of water....

    The largest of the Great Lakes, Lake Superior, contains about 1.20 × 1016 kg of water. If the lake had a temperature of 8.98◦C, how much energy would have to be removed to freeze the whole lake at 0◦C? The specific heat of water is 4186 J/kg · ◦C and its latent heat of fusion is 3.33 × 105 J/kg. Answer in units of J.

  • (15 points) An ice cube of mass 0.0340 kg and temperature -10.00 °C is placed in...

    (15 points) An ice cube of mass 0.0340 kg and temperature -10.00 °C is placed in the steam room at a gym. The steam room, which is quite large, is filled with 2.000 kg of steam at a temperature of 110.0 °C (a) (5 points) How much ice is present, and at what temperature, when the ice and steam reach thermal equilibrium? Your answer should be two numbers (b) (5 points) How much water is present, and at what temperature,...

  • Assume a glass that is insulated that contains 0.45 kg of water at 20 ℃

    Assume a glass that is insulated that contains 0.45 kg of water at 20℃. You would like to bring its temperature down to 0 ℃ by adding cubes of ice. The enthalpy of fusion of the ice h_melting = 333.5 KJ/Kg (this is the variation of the enthalpy of the substance per unit mass or the amount of heat needed to change the state of the water from a solid to a liquid, at constant pressure). How much ice (in...

  • clear explanion of the problem please 1. A 0.3-dm3 glass of water at 22°C is to...

    clear explanion of the problem please 1. A 0.3-dm3 glass of water at 22°C is to be cooled with ice to 5°C. Determine how much ice needs to be added to the water, in grams, if the ice is at a) 0°C, b) -20°C. c) Also determine how much water would be needed if the cooling is to be done with cold water at 0°C. The melting temperature and the heat of fusion of ice at atmospheric pressure are 0°C...

  • Due to a particularly cold day, water that was transported to outdoor equipment through an uninsulated,...

    Due to a particularly cold day, water that was transported to outdoor equipment through an uninsulated, thin-walled metal pipe began to freeze, which caused a cylindrical ice layer, 4 mm thick, to form on the inside of the pipe. If the pipe is 100 mm diameter with an internal convective coefficient of h = 1400 W/m2- K and a mean water temperature, Tm = 277 K, and the temperature of the inner surface of the ice, Tsi, is 273 K,...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT