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JEE Mains · Physics · STD 11 - 11. thermodynamics

Given that \(1\,g\) of water in liquid phase has volume \(1\,cm^3\) and in vapour phase \(1671\, cm^3\) at atmospheric pressure and the latent heat of vaporization of water is \(2256\,J/g;\) the change in the internal energy in joules for \(1\,g\) of water at \(373\,K\) when it changes from liquid phase to vapour phase at the same temperature is ....... \(J\)

  1. A \(2256\)
  2. B \(167\)
  3. C \(2089\)
  4. D \(1\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(2089\)

Step-by-step Solution

Detailed explanation

\(W = P\left( {dV} \right)\)\( = 0.01 \times {10^5}\left( {1671 - 1} \right) \times {10^{ - 6}} = 167\,J\) \(Q = \Delta U + W\) \(\Delta U = Q - W = mL - 167\)\( = 2256 - 167 = 2089\,J\)
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