Daily Problem for Wed. Dec. 9 Due at the beginning of class Show your work and i
ID: 1483309 • Letter: D
Question
Daily Problem for Wed. Dec. 9 Due at the beginning of class Show your work and include units with your answers for full credit A fun (and scientific) way to make ice cream is to use liquid nitrogen to cool the ice cream mixture. Heat is removed from the ice cream mixture-causing it to cool and then freeze and added to the liquid nitrogen, causing it to boil away. (Assume that once the nitrogen becomes a gas, it leaves the system and does not absorb any more heat.) Suppose you have 1 liter ( 1 quart) of liquid ice cream mixture at 10degreeC that you wish to freeze into ice cream. How much heast must you remove from it to cool it to 0degreeC and then freeze it? You can assume that the ice cream mixture has the same density, specific heat, and latent heat as water. What mass of liquid nitrogen must be boiled in order to remove this much heat from the ice cream? The latent heat of fusion of liquid nitrogen is 201 kJ/kg.Explanation / Answer
a)
mass of ice cream = 1 kg
specific heat = 4186 J/(kg K)
latenct heat = 3.33*10^5 Jkg
heat theta si to be removed from ice cream to freeze it, Q = m*c*dT + l*Lf
= 1*4186*10 + 1*3.33*10^5
= 3.748*10^5 J
b)
let m is the mass of nitrogen to be bolied.
Q = m*Lf
==> m = Q/Lf
= 3.748*10^5/(201*10^3)
= 1.865 kg
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