Published by:
CGP EDU Academic Team
Published on: September 12, 2026
If minimum possible work is done by a refrigerator in converting
grams of water at
to ice, how much heat (in calories) is released to the surroundings at temperature
(Latent heat of ice
Callgram) to the nearest integer?
Text Solution
Verified by ExpertsThe correct answer is:
A
To find the amount of heat released when water is converted to ice using the latent heat formula, we can use the formula:
Q = m imes L_f
where:
- Q is the heat transferred (in calories)
- m is the mass of the water (in grams)
- L_f is the latent heat of fusion of ice (in cal/g)
Based on the question:
- m = 100 grams (water)
- L_f for ice is approximately 80 cal/g.
Plugging in the values:
Q = 100 g imes 80 cal/g = 8000 cal.
Therefore, the total heat released to the surroundings is 8000 calories.
Q = m imes L_f
where:
- Q is the heat transferred (in calories)
- m is the mass of the water (in grams)
- L_f is the latent heat of fusion of ice (in cal/g)
Based on the question:
- m = 100 grams (water)
- L_f for ice is approximately 80 cal/g.
Plugging in the values:
Q = 100 g imes 80 cal/g = 8000 cal.
Therefore, the total heat released to the surroundings is 8000 calories.
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