You pour 250 g of tea into a styrofoam cup, initially at 80∘c and stir in a little sugar using a 100-g aluminum 20∘c spoon and leave the spoon in the cup. assume the specific heat of tea is 4180 j/kg⋅∘c and the specific heat of aluminum is 900 j/kg⋅∘c. part apart complete what is the highest possible temperature of the spoon when you finally take it out of the cup?

To solve this problem it is necessary to apply the concepts related to the conservation of energy and heat transferred in a body.

By definition we know that the heat lost must be equal to the heat gained, ie

Where,

Q = Heat exchange

The heat exchange is defined as

Where,

Specific heat

m = mass

Change in Temperature

Therefore replacing we have that

Replacing with our values we have that

Therefore the highest possible temperature of the spoon when you finally take it out of the cup is 75.24°C

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explanation: