Question

A vessel of mass 100 g contains 500 gram of water at 37Degree .Calculate the amount of ice which should be added to the vessel so that the final temperature is 17 degree.

Specific heat capacity of vessel: 0.2calgC
Specific heat capacity of water: 1 cal g c
Specific latent heat of ice : 80 cal g

Answer 1

after 4 minutes heat added to system =100 x 4 x 60=24000 cal

first we check ice completely melt or not

H1=msdT=200 x 0.5 x 20

=2000cal

H2=msdT=100 x 0.2 x 20

=400 cal

hence ice is melted

heat use in melting of ice =mL

=200 x 80

=16000cal

now temperature increases due to rest heat =24000-(2400+16000)=5600cal

when ice is melted then they form water so we use now S=1cal/gm/c

now ,

heat loss =heat gain

5600=msT +MST

=(100 x 0.2 +200 x 1 )T

=(20+200) T

T=5600/220=560/22=25.5 C (approx)