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 following units \((1 \mathrm{~atm}=14.7 \mathrm{psi})\). a. \(\mathrm{mm} \mathrm{Hg}\) c. \(\mathrm{Pa}\) b. torr d. \(\mathrm{psi}\)

Short Answer

Expert verified
a. The pressure in mm Hg is \(3648\, \text{mm Hg}\). c. The pressure in Pa is \(486360\, \text{Pa}\). b. The pressure in torr is \(3648\, \text{torr}\). d. The pressure in psi is \(70.56\, \text{psi}\).

Step by step solution

01

(Step 1: Conversion to mm Hg)

To convert 4.8 atm to mm Hg, we use the conversion factor 1 atm = 760 mm Hg. \(4.8\,\text{atm} \times\frac{760\,\text{mm Hg}}{1\, \text{atm}}=3648\, \text{mm Hg}\) a. The pressure in mm Hg is \(3648\, \text{mm Hg}\).
02

(Step 2: Conversion to Pa)

To convert 4.8 atm to Pa, we use the conversion factor 1 atm = 101325 Pa. \(4.8\, \text{atm} \times \frac{101325\, \text{Pa}}{1\, \text{atm}} = 486360\, \text{Pa}\) c. The pressure in Pa is \(486360\, \text{Pa}\).
03

(Step 3: Conversion to torr)

Since 1 atm is equal to 760 torr, the conversion to torr will be the same as the one for mm Hg: b. The pressure in torr is \(3648\, \text{torr}\).
04

(Step 4: Conversion to psi)

To convert 4.8 atm to psi, we use the conversion factor 1 atm = 14.7 psi. \(4.8\, \text{atm} \times \frac{14.7\, \text{psi}}{1\, \text{atm}} = 70.56\, \text{psi}\) d. The pressure in psi is \(70.56\, \text{psi}\).

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