QuestionAugust 19, 2025

BF3) Using a 1:20 dilution, an average of 60 sperm are counted in the five RBC counting squares on both sides of the hemacytometer. Calculate the sperm concentration per milliliter and the total sperm count in a specimen with a volume of 4 ml.Inotice the word "average in the problem].

BF3) Using a 1:20 dilution, an average of 60 sperm are counted in the five RBC counting squares on both sides of the hemacytometer. Calculate the sperm concentration per milliliter and the total sperm count in a specimen with a volume of 4 ml.Inotice the word "average in the problem].
BF3) Using a 1:20 dilution, an average of 60 sperm are counted in the five RBC counting squares on both
sides of the hemacytometer. Calculate the sperm concentration per milliliter and the total sperm count in
a specimen with a volume of 4 ml.Inotice the word "average in the problem].

Solution
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Answer

Sperm concentration: 2,400,000 sperm/mL; Total sperm count: 9,600,000 sperm. Explanation 1. Calculate the concentration per square The average number of sperm counted is 60. Since this is for five squares, the average per square is 60 / 5 = 12 sperm. 2. Adjust for dilution and volume factor The dilution factor is 1:20, so multiply by 20. Each square represents a volume of 0.1 \, \text{mm}^3, which is equivalent to 0.0001 \, \text{mL}. Multiply by 10,000 to convert to per mL. Thus, the concentration is 12 \times 20 \times 10,000 = 2,400,000 sperm/mL. 3. Calculate total sperm count in the specimen Multiply the concentration by the specimen volume: 2,400,000 \, \text{sperm/mL} \times 4 \, \text{mL} = 9,600,000 sperm.

Explanation

1. Calculate the concentration per square<br /> The average number of sperm counted is 60. Since this is for five squares, the average per square is $60 / 5 = 12$ sperm.<br />2. Adjust for dilution and volume factor<br /> The dilution factor is $1:20$, so multiply by 20. Each square represents a volume of $0.1 \, \text{mm}^3$, which is equivalent to $0.0001 \, \text{mL}$. Multiply by $10,000$ to convert to per mL. Thus, the concentration is $12 \times 20 \times 10,000 = 2,400,000$ sperm/mL.<br />3. Calculate total sperm count in the specimen<br /> Multiply the concentration by the specimen volume: $2,400,000 \, \text{sperm/mL} \times 4 \, \text{mL} = 9,600,000$ sperm.
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