Question

How many torr are in 2.443 atm?

Short answer

2.443 atm is equal to 1856.68 torr.

Step-by-step solution

Understand Conversions

To convert from atmospheres (atm) to torr, we need to know the conversion factor between these two units. 1 atm is equivalent to 760 torr.

Set up the Conversion Equation

Using the conversion factor, set up the equation to convert 2.443 atm to torr: \[ ext{torr} = ext{atm} imes rac{760 ext{ torr}}{1 ext{ atm}} \]Where \(\text{atm}\) is 2.443.

Calculate the Conversion

Substitute 2.443 atm into the equation:\[ ext{torr} = 2.443 imes 760 \]Multiply the two numbers to find the pressure in torr.

Perform the Multiplication

Calculate:\[ 2.443 imes 760 = 1856.68 \]Thus, 2.443 atm equals 1856.68 torr.

Key concepts

Atmospheres to Torr Conversion

Converting atmospheres (atm) to torr is a straightforward unit conversion process. Atmosphere and torr are both units used to measure pressure. The key to converting one unit to another is understanding the conversion factor. For this specific conversion, 1 atmosphere is equivalent to 760 torr. This relationship gives us the conversion factor needed to transition from atm to torr.

To convert atmospheres to torr, you multiply the number of atmospheres by the conversion factor 760. For example, if you have a measurement of 2.443 atm and you want to convert it into torr, you multiply 2.443 by 760. This would give you 1856.68 torr.

The conversion process can be summed up in three main steps:

• Understand the conversion factor: 1 atm = 760 torr.
• Set up the conversion equation using this factor.
• Perform the multiplication to obtain the result in torr.

Pressure Units

Pressure is a fundamental concept in physics and is measured using different units. These units include atmospheres (atm), torr, pascals (Pa), and bar, among others. Each unit has its unique utility and is used in various scientific and engineering contexts.

Atmospheres (atm) is a unit of pressure defined as 101325 Pa and is often used in atmospheric sciences and weather analysis. This unit is convenient for laboratory measurements and other applications where high precision isn't required. On the other hand, torr, named after the Italian physicist Evangelista Torricelli, is commonly used in vacuum pressures and is equivalent to 1/760 of an atmosphere. This makes torr particularly useful in fields like vacuum engineering and high energy physics, where fine measurements of pressure are necessary.

Understanding these various pressure units allows scientists and engineers to communicate more effectively by selecting the most appropriate unit for their specific needs.

Conversion Factor

A conversion factor is a numerical value used to convert a quantity expressed in one unit to another unit. It is crucial when switching between different measurement systems or units. In the context of pressure, conversion factors are established relationships that allow easy transformation from one pressure unit to another.

For instance, when converting atmospheres to torr, the conversion factor is 760, as 1 atmosphere equals 760 torr. This conversion factor acts as a bridge, enabling the translation, multiplication, or division required to change units without altering the actual value being measured.

To effectively perform any unit conversions, it’s important to:

• Identify the correct conversion factor for the units you are working with.
• Accurately apply this factor in the conversion process.

With these steps, you can ensure your calculations are precise and your work is understandable.