A man weighing 60 kg has 45 % hematocrit. What will be his plasma volume?
**Core Concept:**
Hematocrit (Hct) is a measure of red blood cell (RBC) concentration in the blood, calculated as the percentage of RBC volume to total blood volume. Plasma volume (PV) is the volume of plasma in the blood. To find the relationship between hematocrit and plasma volume, we can use the formula:
[ PV = frac{Hct times Hb}{100} ]
where Hb represents hemoglobin (Hemoglobin).
**Why the Correct Answer is Right:**
For this question, we need to use the formula to find plasma volume when hematocrit is given. In this case, the given hematocrit (Hct) is 45%. We are asked to calculate the plasma volume (PV) for a man weighing 60 kg.
[ PV = frac{45% times text{Hemoglobin}}{100} ]
We know the weight of a person doesn't directly affect their hematocrit or plasma volume, but we'll consider the weight in the calculation to make it easier. Let's assume a normal hemoglobin (Hb) level for a man of 120 g/L.
[ PV = frac{45% times 120 text{ g/L}}{100} ]
[ PV = frac{540}{100} ]
[ PV = 5.4 text{ L} ]
For simplicity, we can convert liters to milliliters:
[ PV = 5.4 times 1,000 ]
[ PV = 5,400 text{ mL} ]
**Why Each Wrong Answer is Incorrect:**
A. This option is incorrect because it does not consider the relationship between hematocrit and plasma volume, which is the main focus of the question.
B. This option is incorrect because it does not involve the correct hematocrit value (45%) and normal hemoglobin (120 g/L) used in the correct answer.
C. This option is incorrect as it does not take into account the relationship between hematocrit and plasma volume, and the correct hemoglobin value (120 g/L).
D. This option is incorrect because it doesn't involve the correct hematocrit value (45%) and normal hemoglobin (120 g/L) used in the correct answer.
**Clinical Pearl:**
A normal plasma volume in adults is approximately 5,400 mL. This value is important to know as it can help in understanding fluid balance, electrolyte balance, and overall physiological conditions in a patient. Knowing the normal plasma volume can also aid in interpreting abnormal results of hematocrit tests and fluid balance calculations in clinical practice.