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5 X 10\(^{-3}\)kg of liquid at its boiling point is evaporated in 20s by the...

Physics
JAMB 2024

5 X 10\(^{-3}\)kg of liquid at its boiling point is evaporated in 20s by the heat generated by a resistor of 2\(\Omega\) when a current of 10A is used. The specific latent heat of vaporization of the liquid is 

  • A. 8.0 x 10\(^4\)Jkg\(^{-1}\)
  • B. 8.0 x 10\(^5\)Jkg\(^{-1}\)
  • C. 8.0 x 10\(^6\)Jkg\(^{-1}\)
  • D. 8.0 x 10\(^7\)Jkg\(^{-1}\)
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Correct Answer: Option B
Explanation

Electrical heat generated = quantity of heat required to change water from liquid to vapour

I\(^2\) R t = mL

I = current = 10A, R = resistance = 2Ω, t = time = 20s, m = mass of water = 5 X 10\(^{-3}\)kg and L = specific latent heat of vaporization.

10\(^2\) x 2 x 20 = 5 X 10\(^{-3}\)L

4000 =  5 X 10\(^{-3}\)L

L = \(\frac{4000}{5\times10^{-3}}\) = 800000 ⇔ 8.0 x 10\(^5\)Jkg\(^{-1}\)

There is an explanation video available below.


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Explanation Video

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