Dear Student

In a container, 200 gm of ice at 0 degree celsius , 100 gm of steam at 100 degree celsius and 200 gm of water at 55 degree ceelsius are mixed together.

Latent Heat of fusion of ice = 80

Latent heat of vaporization of water = 540

Specific heat capacity of water =

To Find:

Final temperature of the system

Solution:

Heat absorbed = heat rejected.

Heat rejected by steam = mass of steam(latent heat of vaporization)



Heat absorbed by ice = mass of ice (latent heat of fusion)

Heat absorbed by the water which was formed by ice upto 55 degree

Q = mcdT (where c is specific heat of water = 1)

total heat absorbed = 27 Kcal.

Total heat rejected = 54 KCal.

Now we have 300 gm of water at 55 degree and 100gm of water at 100 degree celsius.

Heat absorbed by water at 55 degree celsius upto final temp 100 degree celcius.

Total heat absorbed = 27 + 18 = 45 KCal.

Final temperature of the system = 100 degree celsius.

Regards