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JEE Mains · Physics · STD 11 - 11. thermodynamics

\(200\,g\) water is heated from \(40\,^oC\) to \(60\,^oC.\) Ignoring the slight expansion of water, the change in its internal energy is close to ...... \(kJ\) (Given specific heat of water \(=4184\,J/kgK\) )

  1. A \(167.4\)
  2. B \(8.4\)
  3. C \(4.2\)
  4. D \(16.7\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(16.7\)

Step-by-step Solution

Detailed explanation

Volume of water does not change, no work is done on or by the system \((W=0)\) According to first law of thermodynamics \(Q = \Delta U + W\) For Isochoric process \(Q = \Delta U\) \(\Delta U = \mu cdT = 2 \times 4184 \times 20 = 16.7\,kJ.\)
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