Question

Jessica places 100. g of water at 20.0℃ in an insulated cup. The specific heat capacity of water is 4.18 J/(g℃). What is the final temperature of the water if 5000. J of energy is added to the water in the insulated cup?

Answer 1

31.96°C

Step-by-step explanation:

Given that,

Mass of water, m = 100 g

Initial temperature,
`T_i=20^(\circ) C`

The specific heat capacity of water is 4.18 J/(g℃)

We need to find the final temperature of the water if 5000. J of energy is added to the water in the insulated cup.

The heat added to the water is given by :

`Q=mc\Delta T\\\\Q=mc(T_f-T_i)\\\\(Q)/(mc)+T_i=T_f\\\\T_f=(5000)/(100* 4.18)+20\\\\T_f=31.96^(\circ) C`

So, the final temperature is 31.96°C.