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# 19 gm of water at 30 degree celcius and 5 gm of ice at -20 degree celcius are mixed find the final temperature

Apoorva Arora IIT Roorkee
7 years ago
To come to a common temperature, First of all the ice will come to 0 degrees
heat=m*s*change in temp=2000 joules
then the ice will melt
heat=m*latent heat of fusion= 1670 joules
therefore now water at 0 degrees will gain heat and water at 30 degrees will lose heat. and according to the conservation of heat we can calculate the common temperature.
$2000+1670+.005\times s_{water}\times \Delta T_{1}=.019\times s_{water}\times \Delta T_{2}$

Thanks and Regards
Apoorva Arora
IIT Roorkee