A pet owner accidentally applies 2.5 ml of a dog flea product containing 45% permethrin to a 15 lb cat. What is the dosage this cat received?
To calculate the dosage the cat received, we need to consider both the amount of the flea product applied and its concentration of permethrin.
Step 1: Convert the weight of the cat from pounds to kilograms.
- The weight of the cat is given as 15 lbs.
- To convert pounds to kilograms, divide the weight in pounds by 2.2046.
- So, the weight of the cat in kilograms is 15 lbs / 2.2046 = 6.8039 kg (rounded to 4 decimal places).
Step 2: Calculate the amount of permethrin applied to the cat.
- The pet owner accidentally applied 2.5 ml of the flea product.
- The flea product contains 45% permethrin.
- To calculate the amount of permethrin (in milligrams), multiply the volume applied (in milliliters) by the concentration of permethrin (as a decimal) and by 1000 (to convert grams to milligrams):
= 2.5 ml * 45% * 1000
= 2.5 ml * 0.45 * 1000
= 1125 mg
Step 3: Calculate the dosage received by the cat.
- The dosage is typically measured in mg of medication per kg of body weight.
- Divide the amount of permethrin applied (in mg) by the weight of the cat (in kg):
= 1125 mg / 6.8039 kg
= 165.38 mg/kg (rounded to 2 decimal places)
Therefore, the cat received a dosage of approximately 165.38 mg/kg.
To calculate the dosage this cat received, we need to convert the weight of the cat from pounds (lb) to kilograms (kg) and then use the formula:
Dosage = Volume applied (ml) x Concentration (%) / Weight (kg)
First, let's convert the weight of the cat from pounds to kilograms. There are approximately 2.2 pounds in a kilogram:
Weight (kg) = 15 lb / 2.2 ≈ 6.82 kg
Next, we can calculate the dosage by plugging the values into the formula:
Dosage = 2.5 ml x 45% / 6.82 kg
To find the dosage, we need to convert the percentage to a decimal by dividing it by 100:
Dosage = 2.5 ml x 0.45 / 6.82 kg
Now we can calculate the dosage received by the cat:
Dosage ≈ 0.165 ml/kg
Therefore, the cat received a dosage of approximately 0.165 ml per kilogram of body weight.