The patient will receive 480 mg of the drug in 8 hours, calculated based on the ordered rate of 120 mg per 1000 ml at 400 ml over 24 hours. Therefore, the correct answer is c. 480 mg.
To calculate the total amount of the drug the patient will receive in 8 hours, you can use the formula:
![\[ \text{Total amount} = \left( \frac{\text{Ordered rate}}{\text{Volume}} \right) * \text{Time} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/acyrgr6gtwhcq4u4kvizgzky1vx9nxno4l.png)
Given that the ordered rate is 120 mg per 1000 ml, and the volume is 400 ml over 24 hours, we can first find the rate per hour:
![\[ \text{Rate per hour} = \frac{120 \, \text{mg}}{1000 \, \text{ml}} * \frac{1 \, \text{hour}}{24 \, \text{hours}} * 400 \, \text{ml} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/6gy4kqnvda352jku8u0ypzv5l8gwtomx4n.png)
Now, multiply the rate per hour by the time (8 hours) to find the total amount:
![\[ \text{Total amount} = \text{Rate per hour} * \text{Time} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/bjhmemeh213k2u5dxz2qo574xywgza38th.png)
Calculate this to find the answer. The correct answer is: c. 480 mg