Pneumoperitoneum -- gas under the diaphragm:
Free intraperitoneal gas rises to the highest point in the abdominal cavity and collects beneath the diaphragm. On an erect chest X-ray or erect abdominal X-ray, this appears as a crescent of radiolucency between the liver (right side) and the diaphragm, and/or between the stomach and the left diaphragm.
Causes of pneumoperitoneum (in order of frequency):
1. Hollow viscus perforation (MC) -- perforated peptic ulcer, perforated appendix, perforated carcinoma, perforated diverticulitis
2. Post-laparoscopy / post-laparotomy (iatrogenic)
3. Gas-forming intra-abdominal infections (rare, ~10% of cases)
4. Pneumatosis intestinalis (very rare)
Why not the other options:
- Liver abscess: Gas may be seen within the abscess cavity, NOT as free subdiaphragmatic gas
- Boerhaave syndrome: Produces pneumomediastinum, NOT pneumoperitoneum
- Empyema thorax: Confined to the pleural space -- no intraperitoneal gas
\[\boxed{\text{Answer: A -- Viscus perforation}}\]