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Chapter 19: Q. 77 (page 547)

10 g of aluminum at 200°C and 20 g of copper are dropped into 50 cm3 of ethyl alcohol at 15°C. The temperature quickly comes to 25°C. What was the initial temperature of the copper?

Short Answer

Expert verified

The initial temperature is-55oC

Step by step solution

01

Step 1:Definition of specific heat

The amount of heat that increase1 the degree of the temperature of a 1-mole substance is called specific heat.

02

Finding the initial temperature 

The amount of net heat of ethanol is

Qnet=QAl+QCu+Qeth

Assume that the net heat is zero. Now the amount of heat for the changes in temperature is Q=Mc∆T

So, the temperature of copper is localid="1649154817046" Tcu=T+MACAlT-TAl+MethCethT-TethMcuCcu

Here

Meth=0.04kg

The initial temperature of copper is

Tcu=25oC+0.01×900×J/Kg.K-175oC+0.04×2400×J/Kg.K10oC0.02×385×J/Kg.K=-55oC

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