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TS EAMCET · Chemistry · Thermodynamics (C)

Average \(\mathrm{C}-\mathrm{H}\) bond energy is \(416 \mathrm{~kJ} \mathrm{~mol}^{-1}\). Which of the following is correct?

  1. A \(\mathrm{CH}_4(g)+416 \mathrm{~kJ} \longrightarrow \mathrm{C}(g)+4 \mathrm{H}(g)\)
  2. B \(\mathrm{CH}_4(g) \longrightarrow \mathrm{C}(g)+4 \mathrm{H}(g)+416 \mathrm{~kJ}\)
  3. C \(\mathrm{CH}_4(g)+1664 \mathrm{~kJ} \longrightarrow \mathrm{C}(g)+4 \mathrm{H}(g)\)
  4. D \(\mathrm{CH}_4(g) \longrightarrow \mathrm{C}(g)+4 \mathrm{H}(g)+1664 \mathrm{~kJ}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\mathrm{CH}_4(g)+1664 \mathrm{~kJ} \longrightarrow \mathrm{C}(g)+4 \mathrm{H}(g)\)

Step-by-step Solution

Detailed explanation

\(\mathrm{CH}_4\) has four \(\mathrm{C}-\mathrm{H}\) bonds. So, \(4 \times 416=1664 \mathrm{~kJ}\) is required to break \(\mathrm{CH}_4\) into \(\mathrm{C}\) and \(4 \mathrm{H}\).