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The amount of heat energy that will be extracted when 0.02kg of water vapor condenses...

Physics
WAEC 2024

The amount of heat energy that will be extracted when 0.02kg of water vapor condenses to water at 97ºC is [specific heat capacity of water = 4200Jkg\(^{-1}\)k\(^{-1}\), Specific heat of vaporization of water = 2.26 x 10\(^6\)Jkg\(^{-1}\)]

  • A. 45,452J
  • B. 45,200J
  • C. 25,200J
  • D. 252J
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Correct Answer: Option A
Explanation

specific heat capacity of water = 4200Jkg\(^{-1}\)k\(^{-1}\), Specific heat of vaporization of water = 2.26 x 10\(^6\)Jkg\(^{-1}\), mass of water = 0.02kg, water vapour temp. = 100ºC, water at 97ºC

The amount of heat required = ML + McΔ\(\theta\)

 = 0.02 x 2.26 x 10\(^6\) + 0.02 x 4200 x (100 - 97)

= 45,200 + 252 = 45,452J.


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