A 2kg ice is at -2 degrees celcius is mixed with 0.5kg of water at 10 degrees celcius. Determine the final temperature of the mixture when thermal equilibrium is reached.
Answers
The final temperature of the mixture is 0°C .
Given : A 2kg ice is at -2 degrees celcius is mixed with 0.5kg of water at 10 degrees celcius.
To find : The final temperature of the mixture when thermal equilibrium is reached.
solution : heat required to melt the ice, H₁ = ms₁∆T + mLf
= 2kg × 2100 J/Kg/°C × {0 - (-2°C)} + 2kg × 3.35 × 10^5 J/kg
= 8400 J + 6.7 × 10^5 J
= 8400 J + 670000 J
= 678400 J
heat lost by water , H₂ = ms₂∆T
= 0.5 kg × 4200 J/Kg/°C × (10°C - 0°C)
= 21000 J
here we see H₁ >> H₂
it means ice doesn't melt completely and hence temperature of the mixture is 0°C.
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