Final answer:
The patient's symptoms, including a crunching and rasping sound heard during auscultation and sudden onset chest pain, suggest Boerhaave syndrome, which is characterized as a transmural tear of the esophagus, often related to vigorous vomiting.
Step-by-step explanation:
The most likely diagnosis given the symptoms of a crunching and rasping sound while auscultating the heart, along with sudden onset chest pain in the context of a pre-existing condition of cirrhosis and profuse vomiting is Boerhaave syndrome, which involves a transmural tear of the esophagus. Boerhaave syndrome is a severe, spontaneous tear of the esophagus that results from violent retching or vomiting.
The association of blood in the vomitus (hematemesis) suggests that there has been a significant tear into the blood vessels as well. The typical presentation includes chest pain and subcutaneous emphysema, which manifests as a rasping sound, known as Hamman's sign, heard during auscultation when air enters the mediastinum and potentially the pericardium.