An ideal gas undergoes a cyclic process as shown in Figure.
\(\Delta U_{BC}=-5\ \mathrm{kJ\ mol^{-1}}\), \(q_{AB}=2\ \mathrm{kJ\ mol^{-1}}\), \(W_{AB}=-5\ \mathrm{kJ\ mol^{-1}}\), \(W_{CA}=3\ \mathrm{kJ\ mol^{-1}}\). Heat absorbed by the system during process \(CA\) is :
\(\Delta U_{BC}=-5\ \mathrm{kJ\ mol^{-1}}\), \(q_{AB}=2\ \mathrm{kJ\ mol^{-1}}\), \(W_{AB}=-5\ \mathrm{kJ\ mol^{-1}}\), \(W_{CA}=3\ \mathrm{kJ\ mol^{-1}}\). Heat absorbed by the system during process \(CA\) is :
Show Hint
- \(-5\ \mathrm{kJ\ mol^{-1}}\)
- \(+5\ \mathrm{kJ\ mol^{-1}}\)
- \(18\ \mathrm{kJ\ mol^{-1}}\)
- \(-18\ \mathrm{kJ\ mol^{-1}}\)
The Correct Option is B
Solution and Explanation
\(\Delta U_{AB}=q_{AB}+W_{AB}=2-5=-3\) kJ/mol.
For a cycle \(\Delta U_{AB}+\Delta U_{BC}+\Delta U_{CA}=0\): \(-3-5+\Delta U_{CA}=0\Rightarrow\Delta U_{CA}=+8\) kJ/mol.
\(q_{CA}=\Delta U_{CA}-W_{CA}=8-3=+5\) kJ/mol.
Answer: (2) \(+5\ \mathrm{kJ\ mol^{-1}}\)
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