Calculate the final temperature of the system: a 50.0 gram sample of water initially at 100 °c and a 100 gram sample initially at 13.7 °c are mixed. the specific heat of water is 4.184 j/g°c.

The final temperature of the system is 42.46°C.

Explanation:

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

where,

c = specific heat of water=

= mass of water sample with 100 °C= 50.0 g

= mass of water sample with 13.7 °C= 100.0 g

= final temperature of system

= initial temperature of 50 g of water sample=

= initial temperature of 100 g of water =

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

The final temperature of the system is 42.46°C.