Question

Freon- 12\(\left(\mathrm{CF}_{2} \mathrm{Cl}_{2}\right)\) is commonly used as the refrigerant in central home air conditioners. The system is initially charged to a pressure of 4.8 atm. Express this pressure in each of the fol lowing units \((1 \mathrm{atm}=14.7 \mathrm{psi}).\) a. mm Hg b. torr c. Pa d. psi

Short answer

The pressure of Freon-12 in the given units is as follows: a. 3648 mm Hg b. 3648 torr c. 486360 Pa d. 70.56 psi

Step-by-step solution

Write down the conversion factors

We have the following conversion factors at our disposal: 1. 1 atm = 101325 Pa 2. 1 atm = 760 mm Hg 3. 1 atm = 760 torr 4. 1 atm = 14.7 psi

Convert pressure in atm to mm Hg

To find the pressure in mm Hg, we use the conversion factor, 1 atm = 760 mm Hg. Given Pressure = 4.8 atm \(Pressure_{mm Hg} = 4.8 \times 760 = 3648 mm Hg\) So, the pressure is 3648 mm Hg.

Convert pressure in atm to torr

To find the pressure in torr, we use the conversion factor, 1 atm = 760 torr. Given Pressure = 4.8 atm \(Pressure_{torr} = 4.8 \times 760 = 3648 torr\) So, the pressure is 3648 torr.

Convert pressure in atm to Pa

To find the pressure in pascals (Pa), we use the conversion factor, 1 atm = 101325 Pa. Given Pressure = 4.8 atm \(Pressure_{Pa} = 4.8 \times 101325 = 486360 Pa\) So, the pressure is 486360 Pa.

Convert pressure in atm to psi

To find the pressure in pounds per square inch (psi), we use the conversion factor, 1 atm = 14.7 psi. Given Pressure = 4.8 atm \(Pressure_{psi} = 4.8 \times 14.7 = 70.56 psi\) So, the pressure is 70.56 psi. Answers: a. 3648 mm Hg b. 3648 torr c. 486360 Pa d. 70.56 psi

Key concepts

Atmospheric Pressure

Atmospheric pressure is the force exerted by the weight of the air above us in the Earth's atmosphere. It plays a crucial role in a wide range of natural and human-made processes, including weather patterns, breathing, and even how airplanes fly. This pressure is usually measured in a variety of units, including atmospheres (atm), which serve as a standard reference point. At sea level, Earth’s atmospheric pressure is approximately 1 atm, equivalent to a pressure of 101325 pascals or 14.7 pounds per square inch (psi). In the context of refrigerants like Freon-12, understanding atmospheric pressure becomes essential as it helps determine the operational conditions necessary in air conditioning systems. These systems are often set to function efficiently at specific pressures, usually measured in atm. That's why it's vital to know how to convert these pressures between different units for accurate assessments.

Units of Measurement

Pressure can be measured in several different units, each serving different applications and regions. Some of the common units include:

• Atmospheres (atm): A convenient unit for expressing large pressures, especially in scientific contexts.
• Millimeters of mercury (mm Hg) and torr: These are almost identical units often used in barometric pressure and some medical devices. It's important to note that 1 atm equals 760 mm Hg or 760 torr.
• Pascals (Pa): The SI unit for pressure, which is often used in engineering contexts. 1 atm equals 101325 Pa.
• Pounds per square inch (psi): A unit commonly used in the United States for various pressure applications. 1 atm equals 14.7 psi.

Understanding these various units and their equivalencies is essential for solving problems involving pressure, which might be represented in any of these measurements.

Conversion Factors

Conversion factors are crucial tools in scientific calculations that allow us to switch between units of measurement. In the context of pressure conversion, conversion factors such as:

• 1 atm = 760 mm Hg
• 1 atm = 760 torr
• 1 atm = 101325 Pa
• 1 atm = 14.7 psi

These are used to calculate the equivalent pressure in different units. When you multiply the pressure in atmospheres by one of these conversion factors, you obtain the pressure in another desired unit. It's a simple yet effective step once you know the correct conversion factor. Whether you're converting for academic purposes or real-world applications, knowing how to use these factors correctly ensures precision and accuracy. Remember always to double-check your factors and ensure they relate to the units you're working with.

Refrigerants

Refrigerants are substances used primarily in air conditioning and refrigeration systems for cooling purposes. Freon-12, also known as dichlorodifluoromethane (CF2Cl2), has been a popular choice for this task for many years due to its excellent thermodynamic properties and relatively low toxicity. Refrigerants operate under specific pressure conditions which, as highlighted in the exercise, may need conversion for proper management. This ensures that the system functions efficiently and safely. Proper charge pressure in different units can improve the system's overall efficiency and lifespan. Additionally, when working with refrigerants like Freon-12, observing safety and environmental considerations is essential. Since the phasing out of Freon-12 due to its ozone-depleting potential, substitute refrigerants with lower environmental impacts are being encouraged, thus needing awareness of various operational pressures and units they might be measured in. Understanding the behavior and critical characteristics of these substances enables technicians and engineers to maintain and troubleshoot cooling systems more effectively.