In addition the office of administration may reimburse counties of the third and fourth class, out of funds appropriated by the general assembly, for expenses related to trial of capital cases. Such expenses shall not exceed fifty percent of expenses. The amount of reimbursement shall be for actual expenses incurred by the county for capital cases tried. The reimbursement set forth under this section shall be limited to counties which were at the time of the trial in a negative financial situation and^* to counties which would be placed in a negative financial situation as a result of the trial. The county requesting reimbursement under this section shall furnish the office of administration required proof of the negative financial situation in order to avail itself of this act. The request for funds under this section shall be included in the appropriations request of the office of administration.