Question

How many milliliters are in \(1.2 \mathrm{~L} ?(1 \mathrm{~mL}=0.001 \mathrm{~L})\)

Short answer

1.2 L is 1200 mL.

Step-by-step solution

Understand the Conversion Factor

We are given that \(1\, \mathrm{mL} = 0.001\, \mathrm{L}\). This means that each milliliter is one-thousandth of a liter.

Set up the Conversion Equation

To find out how many milliliters there are in \(1.2\, \mathrm{L}\), we need to convert from liters to milliliters using the provided conversion factor. The equation for conversion is: \[\text{Amount in mL} = \text{Amount in L} \times \frac{1}{0.001}\]

Plug Values into the Equation

Substitute \(1.2\, \mathrm{L}\) into the equation: \[\text{Amount in mL} = 1.2\, \mathrm{L} \times \frac{1}{0.001}\]

Perform the Calculation

Calculate the result of the conversion: \[1.2 \times 1000 = 1200\] This means that \(1.2\, \mathrm{L}\) is equivalent to \(1200\, \mathrm{mL}\).

Key concepts

Liters to Milliliters Conversion

Understanding how to convert liters to milliliters is a fundamental skill, especially when dealing with liquid measurements. Liters (\( \mathrm{L} \)) and milliliters (\( \mathrm{mL} \)) are both units of volume in the metric system. When converting, remember that:

• 1 liter is equal to 1000 milliliters.
• Conversely, 1 milliliter is equal to 0.001 liters.

The conversion from liters to milliliters is direct. Simply multiply the number of liters by 1000 to get the equivalent in milliliters. For example:- If you have 1.2 liters and need to convert to milliliters, you multiply 1.2 by 1000 to get 1200 milliliters.

Metric System

The metric system is a base-ten system of measurement used around the world, making conversions simple. This system's ease comes from its logical structure and units of measurement that increase or decrease by powers of ten. - For capacity, the primary units are liters and milliliters. - These are often used in scientific and everyday context due to their simplicity and universal application. The clarity of the metric system is particularly beneficial for unit conversion, allowing easy calculation from one unit to another by multiplying or dividing by factors of ten. This includes converting between different units of volume or mass within the system.

Conversion Factor

A conversion factor is a numerical factor used to multiply or divide a quantity when converting from one unit to another. In this exercise's context: - The conversion factor from liters to milliliters is 1000 (since 1 liter equals 1000 milliliters). - Conversely, from milliliters to liters, the conversion factor would be 0.001. Conversion factors are essential for unit conversions, as they allow you to easily transform a given quantity into the desired units. Always ensure you're applying the right conversion factor to avoid errors and verify that units cancel out appropriately during the process.

Dimensional Analysis

Dimensional analysis is a method used to convert one measurement into another by using conversion factors. It's a reliable way to ensure the accuracy of conversions between various units:

• Write down the quantity to be converted.
• Use the conversion factor to alter the original unit to the target unit.
• Multiply, canceling out the original units to obtain the new units.