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What is the final equilibrium temperature when 12 g of milk at 7◦C is added to 175 g of coffee at 69◦C? Assume the specific heats of milk and coffee are the same as that of water, and neglect the specific heat of the container. Answer in units of ◦C.

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Answer:

final equilibrium temperature is 65.02 ◦C

Step-by-step explanation:

Given data

milk = 12 g

temp milk = 7◦C

coffee = 175 g

coffee temp = 69◦C

to find out

final equilibrium temperature

solution

we apply here equilibrium condition i.e m c ΔT

milk mass × c × ΔT = coffee mass × c × ΔT

12 × 1 × (T- 7) = 175 × 1 × ( 69- T)

12T - 84 = 12075 - 175 T

187 T = 12159

T = 65.02

so final equilibrium temperature is 65.02 ◦C

User Shoham Yetzhak
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