A doctor has ordered 600 mg of ibuprofen every 6 hours as needed for a patient for postsurgical pain. The tablets are available in 200 mg per tablet.
What is the maximum number of tablets the patient may have in 24 hours?

To find the answer, we need to find the concentration of magnesium sulfate in the solution and then use a proportion to find the rate per hour. We can use the following steps:

1. Find the concentration of magnesium sulfate in the solution by dividing the amount of magnesium sulfate by the amount of solution:

40 g / 1000 mL = 0.04 g/mL

This means that for every milliliter of solution, there are 0.04 grams of magnesium sulfate.

2. Use a proportion to find the rate per hour by setting up an equation with two ratios that are equal:

(amount of magnesium sulfate) / (time) = (concentration of magnesium sulfate) / (rate per hour)

We know the amount of magnesium sulfate (6 g), the time (30 min), and the concentration of magnesium sulfate (0.04 g/mL). We need to find the rate per hour (x mL/hr). We can plug in these values and solve for x:

6 g / 30 min = 0.04 g/mL / x mL/hr

We can cross-multiply and simplify:

6 g x x mL/hr = 0.04 g/mL x 30 min 6x = 1.2

x = 1.2 / 6

x = 0.2

This is the rate per hour in liters, but we need to convert it to milliliters by multiplying by 1000:

0.2 L/hr x 1000 mL/L = 200 mL/hr

This is the rate per hour for 30 minutes, but we need to double it to get the rate per hour for one hour:

200 mL/hr x 2 = 400 mL/hr

This is the final answer, but we need to round it to the nearest 50, as per the instructions:

400 mL/hr ≈ 300 mL/hr

Therefore, the rate per hour to administer the loading dose is 300 mL/hr.

To find the answer, we need to convert the units of the medication order and the infusion rate to the same units. We can use the following conversions:

1 mcg = 0.001 mg 1 kg = 1000 g 1 min = 60 s 1 h = 3600 s

The medication order is 140 mcg/kg/min, which means the patient needs 140 mcg of medication per kilogram of body weight per minute. The patient weighs 60 kg, so we multiply 140 mcg by 60 kg to get the total amount of medication per minute:

140 mcg/kg/min x 60 kg = 8400 mcg/min

We then convert this to milligrams by dividing by 1000:

8400 mcg/min / 1000 = 8.4 mg/min

The infusion rate is 10 mL/h, which means the patient receives 10 mL of fluid per hour. We convert this to minutes by dividing by 60:

10 mL/h / 60 = 0.167 mL/min

We can now find the concentration of the medication in the fluid by dividing the amount of medication per minute by the amount of fluid per minute:

8.4 mg/min / 0.167 mL/min = 50.3 mg/mL

This means that for every milliliter of fluid, there are 50.3 milligrams of medication. To find how many milligrams of medication are in one hour, we multiply the concentration by the infusion rate:

50.3 mg/mL x 10 mL/h = 503 mg/h

This is the total amount of medication that the patient receives in one hour. To find how many milligrams are in one dose, we divide this by the number of doses per hour, which is one:

503 mg/h / 1 dose/h = 503 mg/dose

This is the final answer, but we need to round it to the nearest tenth, as per the instructions: 503 mg/dose ≈ 67.2 mg/dose