. Calculate the final mass of water remaining in the container


2 kg of ice at – 20°C is mixed with 5 kg of water at 20°C in an insulating vessel having a negligible heat capacity. . It is given that the specific heats of water and ice are 1 kcal/kg per °C and 0.5 kcal/kg/°C while the latent heat of fusion of ice is 80 kcal/kg

A. 7 kg

B. 6 kg

C. 4 kg

D. 2 kg

Best Answer

Ans: B

Sol: Initially ice will absorb heat to raise it's temperature to 0oC then it's melting takes place

If m = Initial mass of ice, m' = Mass of ice that melts and mw = Initial mass of water

By Law of mixture Heat gain by ice = Heat loss by water

were

So final mass of water = Initial mass of water + Mass of ice that melts = 5 + 1= 6 kg.

 

Talk to Our counsellor