39 g aluminum spoon (specific heat 0.904 j/g·°c) at 24°c is placed in 166 ml (166 g) of coffee at 83°c and the temperature of the two become equal. (a) what is the final temperature (in °c) when the two become equal? (assume that coffee has the same specific heat as water, 4.1801 j/g·°c.) °c

The final temperature of the solution is

Explanation:

The amount of heat released by coffee will be absorbed by aluminium spoon.

Thus,

To calculate the amount of heat released or absorbed, we use the equation:  

Also,

   ..........(1)

where,

q = heat absorbed or released

= mass of aluminium = 39 g

= mass of coffee = 166 g

= final temperature = ?

= temperature of aluminium =

= temperature of coffee =

= specific heat of aluminium =

= specific heat of coffee=

Putting all the values in equation 1, we get:

Hence, the final temperature of the solution is