Answer: Fee simple determinable
Explanation:
Fee simple determinable is the estate that will come to an end when the defined condition is over.If the grantee is not able to complete the conditions of the land then also it can be terminated.
According to the question,hospital will gains fee-simple determinable as land is being used on the condition of belonging to hospital purpose and if gifts gets completed then it will atomically get over as per condition of land agreement.