ulllMarizing Questions you go on a picnic, a good way to cool down warm sodas is

Question

ulllMarizing Questions you go on a picnic, a good way to cool down warm sodas is to put model to in a cooler with some ice. A student used the energy write the following explanation for why a can it is in such a cooler. of soda cools down when the crie the model using a diagram: (Draw a G/R energy diagram for the interactions responsible for cooling the soda.) Heat Interactions Energy Receiver Enery Giver Soda Ice Energy Increase in thermal energy Decrease in thermal energy Write the narrative: Since the ice and the soda are at different temperatures, there are heat interactions between them. During these interactions, energy is transferred from the ice to the soda, so the thermal energy of the soda decreases. This decrease means the temperature of the soda goes down Do you think this explanation (including the diagram) is 'good' or problematic'? Give your reasons and, if 'problematic', make any corrections you think necessary EM-45

Explanation / Answer

Yes, it is a good idea to represent in the G/R energy diagram

but this doest not explain thoroughly

suitbale correction including mathematical formulas might help.

this is can be understood from the principle of Calorimetry.

this states that

" Heat lost by a body at higher temperature = heat gained by a body at lower temperature"

we now introduce the practical numbers associated with this.

let M1 and M2 be the mass of ice and Soda

S1 and S2 be the Specifc heats of ice and Soda

and T1 and T2 be the intial temperatures of ice and soda respectively.

and let Tf be the final temperature of system (of Soda and Ice)

then mathematical formula for heat lost or gaine is of the form M S DT

DT is the change of temperature

heat lost by Soda = M2 S2 (T2-Tf)

heat gained by Ice = M1 S1 (Tf-T1)

then

M2 S2 T2 - M2S2 Tf = M1 S1 Tf - M1S1 T1

(M1S1 + M2S2) Tf = (M1S1T1 + M2S2T2)

final temperature

Tf = (M1S1T1 + M2S2T2)/(M1S1 + M2S2)

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