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An ice cream maker is in the form of a soccer ball(Figure 1) . You fill the inne

ID: 1434619 • Letter: A

Question

An ice cream maker is in the form of a soccer ball(Figure 1) . You fill the inner container with a mixture of cream and sugar at 30.0 C and add rock salt and ice to the sleeve encircling the inner container. You then put both lids on and kick the ice cream maker around like a regular soccer ball until the internal temperature is low enough  (-3.00 C) to freeze the cream-sugar mixture into ice cream.

Part A

If the specific heat capacity of the mixture of cream and sugar is 2900 J/Kkg what quantity of thermal energy must be removed from the inner container to bring0.500 kg of the mixture to the temperature required for freezing, -3.00 C ?

Express your answer with the appropriate units.


An ice cream maker is in the form of a soccer ball(Figure 1) . You fill the inner container with a mixture of cream and sugar at 30.0 C and add rock salt and ice to the sleeve encircling the inner container. You then put both lids on and kick the ice cream maker around like a regular soccer ball until the internal temperature is low enough  (-3.00 C) to freeze the cream-sugar mixture into ice cream.

Part A

If the specific heat capacity of the mixture of cream and sugar is 2900 J/Kkg what quantity of thermal energy must be removed from the inner container to bring0.500 kg of the mixture to the temperature required for freezing, -3.00 C ?

Express your answer with the appropriate units.

Eth=


Explanation / Answer

here

initial temperature, ti = 30 C = 273.15 + 30 = 303.15 K
internal Tmperature, t = -3 C = 273.15 -3 = 270.15 K

Specific heat capacity of mixture, C = 2900 J/K*Kg

Amount of mixture, m = 0.5 kg

AS heat is removed,

Q = M*C*Del(t)
Q = 0.5*2900*(303.15 - 270.15)
Q = 47850 Joules

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