The white blood cell concentration in normal blood is approximately 12,000 cells/mm 3 of blood. How many white blood cells does a normal adult with 5 L of blood have? Express the answer in scientific notation.

Welcome back, everyone. Calculate the number of platelets in a human adult with five liters of blood. The normal platelet concentration is 450, cells per microliter of blood express the answer using scientific notation. So we're going to begin with the five liters of blood within a human adult. And we're going to multiply to convert from leaders in the denominator to then microliters in the numerator. Let's recall that our prefix micro tells us we've got an equivalence of 10 to the negative six of our base unit liter. So canceling out liters we're now at Microliter and our next unit is going to be multiplying by the normal platelet concentration given in the prompt as 450,000 platelet cells per one microliter of blood. And so we would then cancel out the units of microliter and that leaves us with cells or platelet cells. So we would simplify in our calculators to find a number of platelets equal to 2.25 times 10 to the 12 power platelets and rounding this to the correct number of significant figures. We would round to two significant figures as two point three times 10 to the 12 power platelets. Take note that we rounded to two significant figures for our final answer. Because in our in our calculation, the term five liters has a total of two significant figures since it indicates a measured value with an inclusion of 10 after the decimal point to enhance precision. So that is why our final answer is going to be in scientific notation to two significant figures, 2.3 times 10 to the twelveth power as the count of platelets in a human adult with five liters of blood. I hope that this made sense and let us know if you have any questions.

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1. Matter and Measurements

Dimensional Analysis

GOB Chemistry

1. Matter and Measurements

Dimensional Analysis

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2:12 minutes

Problem 78a

Textbook Question

The white blood cell concentration in normal blood is approximately 12,000 cells/mm³ of blood. How many white blood cells does a normal adult with 5 L of blood have? Express the answer in scientific notation.

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Step 1: Start by identifying the given information. The white blood cell concentration is 12,000 cells/mm², and the total blood volume is 5 L. Note that we need to convert the blood volume from liters to cubic millimeters (mm³) since the concentration is given in cells per mm².

Step 2: Use the conversion factor for volume: 1 L = 1,000 mL and 1 mL = 1,000 mm³. Therefore, 1 L = 1,000,000 mm³. Multiply the given blood volume (5 L) by this conversion factor to find the total blood volume in mm³.

Step 3: Recognize that the concentration is given in cells per mm², but we need to express the total number of cells. Assume the blood is evenly distributed in a 1 mm thickness layer, so the concentration in cells/mm² is equivalent to cells/mm³. This allows us to directly multiply the concentration by the total blood volume in mm³.

Step 4: Multiply the white blood cell concentration (12,000 cells/mm³) by the total blood volume in mm³ (calculated in Step 2). This will give the total number of white blood cells in the blood.

Step 5: Express the result in scientific notation by adjusting the decimal point and using the appropriate power of 10. Ensure the final answer is formatted correctly as required.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

White Blood Cell Concentration

White blood cell concentration refers to the number of white blood cells (WBCs) present in a specific volume of blood, typically measured in cells per cubic millimeter (cells/mm^3). In normal adults, this concentration is approximately 12,000 cells/mm^3, which is crucial for understanding immune function and diagnosing various health conditions.

Volume of Blood

The volume of blood in an adult human is generally around 5 liters. This total blood volume is important for calculating the total number of cells in the bloodstream, as it provides the necessary context for converting concentration measurements into absolute quantities of cells.

Scientific Notation

Scientific notation is a method of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically formatted as a number between 1 and 10 multiplied by a power of ten (e.g., 1.2 x 10^4). This notation simplifies calculations and comparisons, especially in scientific contexts.

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The white blood cell concentration in normal blood is approximately 12,000 cells/mm3 of blood. How many white blood cells does a normal adult with 5 L of blood have? Express the answer in scientific notation.

Key Concepts

White Blood Cell Concentration

Volume of Blood

Scientific Notation

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The white blood cell concentration in normal blood is approximately 12,000 cells/mm³ of blood. How many white blood cells does a normal adult with 5 L of blood have? Express the answer in scientific notation.