50.Roger is currently ordered to have morphine 5 mg/hr IV continuous infusion with a breakthrough pain dose of 2.5-5 mg/hr q15 minutes prn for breakthrough pain. When converting his opioid to IV hydromorphone, which of the following orders for his maintenance infusion is correct?a. Hydromorphone 1.5 mg/hr IV infusionb. Hydromorphone 2.75 mg/hr IV infusionc. Hydromorphone 3.75 mg/hr IV infusiond. Hydromorphone 0.75 mg/hr IV infusionExplanation: Hydromorphone 0.75 mg/hr IV infusion is correct. This is calculated by use of the Opioid Dosing Equivalence Table105 which states that 10mg of parenteral morphine is equivalent to 1.5 mg of parenteral hydromorphone. Therefore, in a ratio of 10:1.5, multiplying the hourly morphine dose by 1.5 and dividing by 10 will provide the correct hourly rate ( morphine 5 mg/hr x 1.5 = 7.5 ÷ 10 = 0.75 mg /hr of hydromorphone).