Acoin dealer, offered a rare silver coin, suspected that it might be a counterfeit nickel copy. the dealer heated the coin, which weighed 16.5 g to 100°c in boiling water and then dropped the hot coin into 22.5 g of water at t = 15.5°c in an insulated coffee-cup, and measured the rise in temperature. if the coin was really made of silver, what would the final temperature of the water be (in °c)? (for nickel, s = 0.445 j/g°c; for silver, s = 0.233 j/g°c )

Answer : The final temperature of the water will be,

Explanation :

In this problem we assumed that heat given by the hot body is equal to the heat taken by the cold body.

where,

= specific heat of silver =

= specific heat of water =

= mass of silver coin = 16.5 g

= mass of water = 22.5 g

= final temperature of water = ?

= initial temperature of silver coin =

= initial temperature of water =

Now put all the given values in the above formula, we get

Therefore, the final temperature of the water will be,

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