. 125g of water has an initial temperature of 25.6°C, and is heated by 50.0g of a metal which has been heated to 115.0°C. The metal heats the water so that both the metal
and the water reach a final temperature of 29.3°C. Calculate the specific heat of the
metal.

Answer : The specific heat of the metal is,

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 metal = ?

= specific heat of water =

= mass of metal = 50.0 g

= mass of water  = 125 g

= final temperature of mixture =

= initial temperature of metal =

= initial temperature of water =

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

Therefore, the specific heat of the metal is,

your answer is a. the enthalpy of formation for a pure element in its standard state is always positive.