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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 \(4.8 \mathrm{~atm}\). Express this pressure in each of the following units \((1 \mathrm{~atm}=14.7 \mathrm{psi}) .\) a. \(\mathrm{mm} \mathrm{Hg}\) c. \(\mathrm{Pa}\) b. torr d. psi

Short Answer

Expert verified
The pressure of Freon-12 in the air conditioner system, given as 4.8 atm, can be converted to other units as follows: a. 3648 mm Hg b. 3648 torr c. 486360 Pa d. 70.56 psi

Step by step solution

01

Convert pressure from atm to mm Hg

To convert the pressure from atm to mm Hg, we will use the conversion factor: \(1 \mathrm{~atm} = 760 \mathrm{~mm} \mathrm{Hg}\) Now, we will multiply the given pressure (4.8 atm) by the conversion factor: \(4.8 \mathrm{~atm} \times \frac{760 \mathrm{~mm} \mathrm{Hg}}{1 \mathrm{~atm}} = 3648 \mathrm{~mm} \mathrm{Hg}\) Therefore, the pressure in mm Hg is 3648 mm Hg.
02

Convert pressure from atm to Pa

To convert the pressure from atm to Pa, we will use the conversion factor: \(1 \mathrm{~atm} = 101325 \mathrm{~Pa}\) Now, we will multiply the given pressure (4.8 atm) by the conversion factor: \(4.8 \mathrm{~atm} \times \frac{101325 \mathrm{~Pa}}{1 \mathrm{~atm}} = 486360 \mathrm{~Pa}\) Therefore, the pressure in Pa is 486360 Pa.
03

Convert pressure from atm to torr

Converting the pressure to torr is the same as converting it to mm Hg, as: \(1 \mathrm{~torr} = 1 \mathrm{~mm} \mathrm{Hg}\) From Step 1, we already know that the pressure in mm Hg is 3648 mm Hg. Thus, the pressure in torr is also 3648 torr.
04

Convert pressure from atm to psi

To convert the pressure from atm to psi, we will use the given conversion factor: \(1 \mathrm{~atm} = 14.7 \mathrm{~psi}\) Now, we will multiply the given pressure (4.8 atm) by the conversion factor: \(4.8 \mathrm{~atm} \times \frac{14.7 \mathrm{~psi}}{1 \mathrm{~atm}} = 70.56 \mathrm{~psi}\) Therefore, the pressure in psi is 70.56 psi. In conclusion, we have converted the given pressure of Freon-12 into the other units as follows: a. 3648 mm Hg b. 3648 torr c. 486360 Pa d. 70.56 psi

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Key Concepts

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

Freon-12
Freon-12, known chemically as dichlorodifluoromethane \(\left(\mathrm{CF}_{2} \mathrm{Cl}_{2}\right)\), is a chlorofluorocarbon (CFC) that has been commonly used as a refrigerant. Refrigerants are substances used in cooling systems, like air conditioners and refrigerators, to absorb and remove heat from the environment. Freon-12 is known for its stability and non-flammability, which made it a popular choice for many years.
However, it's important to note that because Freon-12 is a CFC, it has been regulated and largely phased out due to its harmful effects on the ozone layer. While it may still be found in older systems, modern systems use alternatives that are more environmentally friendly, like hydrofluorocarbons (HFCs). Understanding the properties of Freon-12 helps in grasping why it's critical to handle it with care, especially in contexts where it is necessary to ensure the wellbeing of our planet.
Refrigerant
Refrigerants are the lifeblood of any cooling system. Their primary role is to extract heat, allowing systems to cool down spaces efficiently. They undergo a continuous cycle of compression and evaporation, which allows them to absorb heat at one point and release it at another. This process keeps environments at desired temperatures, which is fundamental in applications from household air conditioning to industrial cooling systems.
Refrigerants like Freon-12 were widely chosen due to specific characteristics such as stability, low toxicity, and non-flammability. However, as we seek to protect the environment, new refrigerants have been developed that minimize ozone depletion potential and global warming potential. By understanding the nature and impact of refrigerants, we can make informed choices in what we use to control climate both indoors and globally.
Pressure Units
Pressure units are essential in physics and engineering to describe the force exerted over an area. Common units of pressure include atmospheric pressure (atm), millimeters of mercury (mm Hg), Pascals (Pa), and pounds per square inch (psi). Each unit provides a different perspective for measuring how much force is being applied in a given area and is used depending on the context and required precision.
Atmospheres (atm) are often used in meteorology and oceanography, whereas Pascals (Pa) are widely used in scientific calculations because they are part of the International System of Units (SI). Millimeters of mercury (mm Hg) and psi are practical in medical and engineering contexts, respectively. Understanding these units and their conversions is pivotal because it ensures accuracy when analyzing and designing systems that depend on precise pressure control.
Atmosphere (atm)
The atmosphere (atm) as a unit of pressure is based on the average atmospheric pressure at sea level on Earth. It is a convenient reference point because it represents the pressure exerted by the weight of clouds, air, and all other gases above a point on the Earth's surface. An atmosphere is roughly equivalent to 101,325 Pascals (Pa) or 14.7 pounds per square inch (psi).
The usage of atmosphere provides an intuitive understanding of pressures encountered in everyday life, being larger than micrometric units like Pascals but more relatable than heavily weighted measurements like psi in many common scenarios. Being familiar with the concept of atm also allows for fluid transitions between different scientific and engineering disciplines, aiding in interdisciplinary research and applications.
Unit Conversion
Unit conversion is a mathematical process used to convert the quantity of a measurement from one unit to another. This is crucial in engineering, physics, and daily life to ensure that measurements are standard and comparable. Having a firm grasp of unit conversion helps in making informed decisions and verifying calculations, particularly in fields requiring precise measurements like air conditioning systems.
Take for example, converting atmospheres to mm Hg: \(1 \mathrm{~atm} = 760 \mathrm{~mm} \mathrm{Hg}\). Knowing this conversion is essential when working with systems like those using refrigerants, to maintain accurate readings and performance assessments. Effective unit conversion requires understanding of both the principles behind the units and the specific contexts in which they are used, enabling clear communication and the avoidance of costly errors.

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Most popular questions from this chapter

You have two containers each with 1 mol of xenon gas at \(15^{\circ} \mathrm{C}\). Container A has a volume of \(3.0 \mathrm{~L}\), and container \(\mathrm{B}\) has a volume of \(1.0 \mathrm{~L}\). Explain how the following quantities compare between the two containers. a. the average kinetic energy of the \(\mathrm{Xe}\) atoms b. the force with which the Xe atoms collide with the container walls c. the root mean square velocity of the Xe atoms d, the collision frequency of the Xe atoms (with other atoms) e. the pressure of the Xe sample

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