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

Answer:

31.96°C

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 :

$Q=mc\Delta T\\\\Q=mc(T_f-T_i)\\\\\dfrac{Q}{mc}+T_i=T_f\\\\T_f=\dfrac{5000}{100\times 4.18}+20\\\\T_f=31.96^{\circ} C$

So, the final temperature is 31.96°C.