Question

What will be the result of mixing 400g of copper chips at 500 C with 500 g of crushed ice at 0 C? Specific heat capacity of copper=0.42J/g/K,specific latent heat of fusion of ice=340 J/g,

Answer 1

Given,mass of copper chips=400g

Temperature of copper chips=500degree celsius

Mass of ice =500g

Heat energy imparted by copper chips in cooling from 500degree celsius to 0degree celsius.

Q1=4000g×0.44Jg-1K-1×(500-0)K=84000J

Heat energy required to melt 500g ice at 0 degree celsius.

Q2 =5500340=170000J

Since Q2>Q1,therefore all ice will not melt.

Let m g of ice melts,then

m×340=84000

m = 84000/340

m = 247g

Thus only 247 g of ice will melt and the temperature will remain 0 degree celsius