If 64000 calories of heat are extracted from 100 gm of steam at 100°C, what will be (i) the final temperature
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Answers
Answer:
Explanation:
At 100°C, the whole water would have been converted into steam
The heat required to bring the steam at 100°C to water at 100°C
Q₁ = m × Latent Heat of vapourisation
= 100 × 540
= 54000 calories
Again lets calculate how much heat is required to bring the temperature of water at 100°C to water at 0°C
If the sum of both the heats is less greater than 64800 then the water sill remain at some temperature above 0°C
Using
Q₂ = 100 × 1 × (100 - 0)
= 10000 calories
Q₁ + Q₂ = 54000 + 10000 = 64000 calories
But the total heat that was extracted was 64800 calories
So still 64800 - 64000 calories = 800 calories of heat is left
Lets assume that m gram of water at 0°C is converted into ice at 0°C with this 800 calories
then
Q = m × Latent Heat of fusion of ice
800 = m × 80
⇒ m =10 gram
Therefore at at 0°C, 10 gram of water will have converted into 10 gram of ice and 90 gram of water will remain at 0°C