You have just been to the shops and purchased a 3kg bag of ice (assume all at 0°C) to cool a 24 pack of beverages, in 375 ml containers, which is now at 25°C. If you had a perfectly insulated chilly bin, and everything reached a final temperature of 0°C, how much of the ice would have melted if you only had to cool the liquid contents, ignoring the containers? Assume the latent heat of ice melting is 334 kJ/kg. If you now include the heat capacity of the containers, do you still have enough ice for (a) bottles or (b) cans. Would cans or bottles cool faster? Material Cp (kJ/(kg.K) Per container (g) Liquid 4.2 375 Aluminium 0.9 14 Glass 0.84 210

You have just been to the shops and purchased a 3kg bag of ice (assume all at 0°C) to cool a 24 pack of beverages, in 375 ml containers, which is now at 25°C. If you had a perfectly insulated chilly bin, and everything reached a final temperature of 0°C, how much of the ice would have melted if you only had to cool the liquid contents, ignoring the containers? Assume the latent heat of ice melting is 334 kJ/kg. If you now include the heat capacity of the containers, do you still have enough ice for (a) bottles or (b) cans. Would cans or bottles cool faster? Material Cp (kJ/(kg.K) Per container (g) Liquid 4.2 375 Aluminium 0.9 14 Glass 0.84 210

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

#21
Suppose an object with initial temperature ?! is placed in a sealed container, which is in turn placed in a medium with temperature ?%. Let the initial temperature of the container be ?!. Assume that the temperature of the object does not affect the temperature of the container, which in turn does not affect the temperature of the medium. (These assumptions are reasonable, for example, if the object is a cup of coffee, the container is a house, and the medium is the ) Assuming that the container and the medium have distinct temperature decay constants ? and ?% respectively, use Newton’s law of cooling to find the temperatures ?(?) and ?(?) of the container and object at time ?. Assuming that the container and the medium have the same temperature decay constant ?, use Newton’s law of cooling to find the temperatures ?(?) and ?(?) of the container and object at time ?. Find the limiting values of temperatures ?(?)and ?(?)
#6. My buddy is starting to get hypothermic (body temperature 306 K) during an epic backcountry ski adventure. Since I'm quite warm (body temperature 310 K), I decide to get in a sleeping bag with him to try and warm him up. What heat transfer mechanism will be most responsible for heating him up? For simplicity, ignore any internal temperature differences across my body (that is, assume my skin temperature is also 310 K). Use num- bers to support your answer (for human skin, you can use the following values: surface area A = 1.50 m², emissivity = 0.970, thickness d= 0.0250 m, thermal conductivty 0.200 ms.K)
#6. My buddy is starting to get hypothermic (body temperature 306 K) during an epic backcountry ski adventure. Since I'm quite warm (body temperature 310 K), I decide to get in a sleeping bag with him to try and warm him up. What heat transfer mechanism will be most responsible for heating him up? For simplicity, ignore any internal temperature differences across my body (that is, assume my skin temperature is also 310 K). Use num- bers to support your answer (for human skin, you can use the following values: surface area A = 1.50 m², emissivity € = 0.970, thickness d = 0.0250 m, thermal conductivty 0.200 ms.K) J
Can you show me how to solve this?
A new liquid substance has been discovered that freezes at -23°C. A scientist poured the liquid (which was at -23°C) Into a 0.6 kg cup (Coup = 793 J/kg-K) which caused some, but not all, of the liquid to freeze (only 0.216 kg of the liquid froze). As a result, the liquid lost 40,000 J of heat until thermal equilibrium was reached. Determine the latent heat of the substance & the Initial temperature of the cup. Topul °℃
A homeowner is unhappy with her heating costs. One wall of her house is 4 meters tall and 8 meters wide and has no windows, and it is made of brick and mortar with a thermal conductivity of 1.0 W m K . It is 40 cm thick. The house is heated to a temperature of 20 ◦C inside. (a) What is the rate of heat loss through the wall on a day when it is 0◦C outside? (b) A layer of rock mineral wool, which has a thermal conductivity of 0.032 W m K is to be installed on the interior surface of the brick wall. How thick should the layer be to lower the rate of heat transfer through this wall to half its original value? (c) If the rock mineral wool is instead installed on the outer surface, is the thickness required the same?
Ice has formed on a shallow pond, and a steady state has been reached, with the air above the ice at -7.6°C and the bottom of the pond at 3.7°C. If the total depth of ice + water is 2.3 m, how thick is the ice? (Assume that the thermal conductivities of ice and water are 0.40 and 0.12 cal/m-Cº-s, respectively.) Number Units
Thank you! The thermal resistance of a seal's fur and blubber combined is 0.380 K/W. If the seal's internal temperature is 37.5°C and the temperature of the sea is about O°C, what must be the heat output of the seal in order for it to maintain its internal temperature?
Your 500 cm3 soda is at 20° C so you add 100 g of ice which is at –20° C. Does all the ice melt? If so, what is the final temperature? If not, what fraction of the ice melts? Assume the cup is well–insulated and that the soda has the same thermal properties as liquid water.