 This study will evaluate the use of Heated Intraperitoneal Chemotherapy HIPEC for primary treatment of ovarian cancer at the time of surgical debulking, to assess if intravenous IV chemotherapy can be started within 42 days of HIPEC and cytoreduction. All patients will receive cytoreductive surgery followed by a one-time closed HIPEC with cisplatin at 41-43 degrees Celsius for 90 minutes in the operating room. This is followed by 6 cycles of intravenous carboplatin and paclitaxel on an outpatient basis. 