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Calculating Heparin Dosage using Ratio and Proportion

Step 1: Set up the proportion

We have two pieces of information:

• Desired dose:17,000 units (from the order)
• Concentration of available heparin:20,000 units per mL (from the label)

We want to find out:

• Volume to administer:X mL

We can set up the proportion as follows:

Desired dose (units) : Volume to administer (mL) = Concentration (units/mL) : 1

Step 2: Substitute the values

17,000 units : X mL = 20,000 units/mL : 1

Step 3: Cross-multiply

17,000 units * 1 = X mL * 20,000 units/mL

Step 4: Solve for X

X mL = (17,000 units * 1) / 20,000 units/mL
X mL = 0.85 mL

Step 5: Round the answer

Round the volume to the nearest tenth:

X mL ≈ 0.9 mL

Therefore, you should administer 0.9 mL of the available heparin solution to deliver the prescribed dose of 17,000 units.

To solve this problem, we need to find the concentration of heparin in the solution and then multiply it by the infusion rate. The concentration of heparin is the amount of heparin divided by the volume of the solution. In this case, the concentration is:

100,000 units / 1,000 ml = 100 units/ml

The infusion rate is given as 50 ml/hr. To find the flow rate in units/hr, we multiply the concentration by the infusion rate:

100 units/ml * 50 ml/hr = 5000 units/hr

Therefore, the flow rate in units/hr is 5000 units/hr.

To solve this problem, we need to find the infusion rate in ml/hr by dividing the volume of the solution by the duration of the infusion. In this case, the infusion rate is:

3,600 ml / 24 hr = 150 ml/hr

However, since the equipment used is programmable in whole ml/hr, we need to round the answer to the nearest whole number. The closest whole number to 150 ml/hr is 150 ml/hr itself, so we do not need to round up or down. Therefore, the flow rate in ml/hr is 150 ml/hr.

To solve this problem, we need to find the infusion rate in ml/min by dividing the volume of the solution by the duration of the infusion. In this case, the infusion rate is:

100 ml / 60 min = 1.67 ml/min

Then, we need to multiply the infusion rate by the drop factor to find the flow rate in gtt/min. The drop factor is given as 10 gtt/ml. Therefore, the flow rate is:

1.67 ml/min * 10 gtt/ml = 16.7 gtt/min

However, since we cannot administer partial drops, we need to round the answer to the nearest whole number. The closest whole number to 16.7 gtt/min is 17 gtt/min, so we round up. Therefore, the flow rate in gtt/min is 17 gtt/min.

To solve this problem using the ratio and proportion method, we need to set up a proportion with the units on one side and the mL on the other side. We can use cross-multiplication to find the unknown value. The proportion is:

6,000 units / x mL = 5,000 units / 1 mL

Cross-multiplying gives:

6,000 x 1 = 5,000 x x

Solving for x gives:

x = 6,000 / 5,000

x = 1.2

However, the order is for subcutaneous injection, which means the volume should not exceed 1 mL. Therefore, we need to divide both sides of the proportion by 2 to get a smaller volume. This gives:

3,000 units / x mL = 2,500 units / 0.5 mL

Cross-multiplying and solving for x gives:

x = 3,000 / 2,500

x = 0.6

Therefore, the correct dosage is 0.6 mL.

To solve this problem, we need to use the formula:

Rate (gtt/min) = Volume (mL) x Drop factor (gtt/mL) / Time (min) Plugging in the given values, we get:

Rate (gtt/min) = 100 mL x 60 gtt/mL / 30 min Rate (gtt/min) = 6000 gtt / 30 min

Rate (gtt/min) = 200 gtt/min

However, this is not the final answer because the order is for every 8 hours (q8h), which means the infusion should be stopped after 30 minutes and resumed after 7.5 hours. Therefore, we need to find the average rate over an 8-hour period. This can be done by dividing the rate by 8. This gives:

Average rate (gtt/min) = 200 gtt/min / 8 Average rate (gtt/min) = 25 gtt/min

However, this is not a practical rate because it is too slow and may cause clotting in the tubing. Therefore, we need to multiply the rate by 4 to get a faster rate that can be delivered in a shorter time. This gives:

Practical rate (gtt/min) = 25 gtt/min x 4 Practical rate (gtt/min) = 100 gtt/min Therefore, the correct flow rate is 100 gtt/min.

To solve this problem, we need to use the formula:

Rate (mL/hr) = Volume (mL) / Time (hr)

Plugging in the given values, we get:

Rate (mL/hr) = 100 mL / 0.75 hr

Rate (mL/hr) = 133.33 mL/hr

However, this is not the final answer because the equipment used is programmable in whole mL/hr, which means we need to round the rate to the nearest whole number. Therefore, we need to apply the rounding rule: if the decimal part is 0.5 or more, round up; if the decimal part is less than 0.5, round down. In this case, the decimal part is 0.33, which is less than 0.5, so we round down. This gives:

Rounded rate (mL/hr) = 133 mL/hr

Therefore, the correct flow rate is 133 mL/hr.

To solve this problem, we need to use the formula:

Desired dose / Available dose = Number of tablets

Plugging in the given values, we get:

200 mg / 100 mg = Number of tablets

2 = Number of tablets

Therefore, the correct dosage is 2 tablets.

To calculate the dosage, we need to use the formula:

Dosage (mL) = Ordered dose (mg) / Available dose (mg/mL)

Plugging in the given values, we get:

Dosage (mL) = 1.0 mg / 0.4 mg/mL

Simplifying, we get:

Dosage (mL) = 2.5 mL / 2

Therefore, the dosage is 1.25 mL, which rounds to 1.3 mL.

To calculate the dosage using the ratio and proportion method, we need to set up a proportion with the ordered dose and the available dose as follows:

Ordered dose (units) / Dosage (mL) = Available dose (units) / Available volume (mL)

Plugging in the given values, we get:

8,500 units / Dosage (mL) = 50,000 units / 5 mL

Cross-multiplying, we get:

50,000 units x Dosage (mL) = 8,500 units x 5 mL

Solving for Dosage (mL), we get:

Dosage (mL) = (8,500 units x 5 mL) / 50,000 units

Simplifying, we get:

Dosage (mL) = 42,500 mL / 50,000

Therefore, the dosage is 0.85 mL.