If there are 47 cells in 1 μl of sewage, how many cells are there in a liter?

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Identify the given information: there are 47 cells in 1 microliter (μl) of sewage.

Recall the conversion factor between microliters and liters: 1 liter (L) = 1,000,000,000 microliters (μl).

Set up the calculation to find the number of cells in 1 liter by multiplying the number of cells per microliter by the number of microliters in a liter: \(\text{cells in 1 L} = 47 \times 1,000,000,000\).

Perform the multiplication to find the total number of cells in 1 liter of sewage.

Express the final answer with the correct units, indicating the total cells per liter.

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Key Concepts

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

Unit Conversion

Unit conversion involves changing a quantity expressed in one unit to another unit. In this question, converting microliters (μl) to liters (L) is essential, knowing that 1 liter equals 1,000,000 microliters.

Cell Counting and Concentration

Cell counting refers to determining the number of cells in a given volume. Understanding that the number of cells per microliter can be scaled up proportionally to larger volumes helps calculate total cells in a liter.

Multiplication for Scaling Quantities

Multiplication is used to scale quantities from a small volume to a larger volume. Here, multiplying the number of cells per microliter by the number of microliters in a liter gives the total cell count in one liter.

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