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Chapter 8: Problem 8

\(0.816 \mathrm{~mL}=\) __________ \(\mathrm{L}\)

Short Answer

Expert verified
0.000816 L

Step by step solution

01

Understand the Conversion Factor

To convert milliliters (mL) to liters (L), understand that 1 liter is equal to 1000 milliliters. This gives us the conversion factor: \(1 \text{ L} = 1000 \text{ mL}\)
02

Set Up the Conversion Formula

To find the volume in liters, divide the given volume in milliliters by the conversion factor (1000). The formula is: \( \text{Volume in L} = \frac{\text{Volume in mL}}{1000} \)
03

Apply the Formula

Substitute the given value (0.816 mL) into the formula: \[ \text{Volume in L} = \frac{0.816 \text{ mL}}{1000} \]
04

Calculate the Result

Perform the division: \[ \text{Volume in L} = 0.000816 \text{ L} \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

milliliters to liters
When converting between milliliters (mL) and liters (L), it's essential to understand the basic relationship between the two units. One liter contains 1000 milliliters. This relationship is the key to performing accurate conversions. For instance, if you have a volume in milliliters, you can convert it to liters by dividing by 1000. Remember, understanding the relationship between units helps you avoid mistakes in calculations.
conversion factor
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. In our case, the conversion factor between liters and milliliters is 1000. This means that 1 liter is equivalent to 1000 milliliters. Utilizing the conversion factor correctly is crucial for ensuring accuracy. For example, converting 0.816 mL to liters involves dividing by 1000, turning it into 0.000816 L. Knowing the right conversion factor allows for smooth and error-free unit conversion.
unit conversion
Unit conversion is a fundamental skill in science and math that allows you to switch between different units of measure. To convert from milliliters to liters, follow these steps:
  • Identify the conversion factor (1000 mL = 1 L).
  • Set up your conversion formula: divide the number of milliliters by 1000.
  • Substitute the given value and calculate.
An example provided is converting 0.816 mL to liters. By dividing 0.816 by 1000, you get 0.000816 liters. Remember, practicing unit conversions with various numbers helps solidify this important skill.

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