1 gram of ice is passed into a container having 2 grams of water at 35C the equilibrium temperature of the mixture is?
Answers
Answer:
Explanation:
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Given info : 1 gram of ice is passed into a container having 2 grams of water at 35°C .
To find : the equilibrium temperature of the mixture is ..
Solution : Heat needed by ice to change its state, H₁ = mLf , where Lf is latent heat of fusion of ice.
so, H₁ = 1 g × 80 cal/g = 80 cal
now heat lost by water to decrease its temperature to 0°C, H₂ = ms(T₂ - T₁)
= 2 g × 4.2 cal/g/°C × (35 - 0) = 292 cal
here you see, H₂ > H₁
It means ice completely melted and then it changed into water and was raised its temperature.
Let equilibrium temperature is T
Now, heat gained by ice = heat lost by water
⇒ H₁ + 1g × 4.2 cal/g/°C × T = 2g × 4.2 cal/g/°C × (35 - T)
⇒ 80 = 292 - 8.4T - 4.2 T
⇒ 212 = 12.6T
⇒ T = 16.8°C
Therefore the equilbrium temperature of the mixture is 16.8°C