In this problem, we will be considering how refrigerators work using the refrigerant Freon-12 (dichlorodifluoromethane), a type of CFC that has been banned due to its effects on the ozone layer. Freon-12 was widely used in refrigerators in the 20th century. A typical refrigerator contained 163 g of Freon-12, which has a molar mass of 120.91 g/mol. Assume we can treat Freon-12 as an ideal gas.

**Part 1:**
How many moles of Freon-12 are in a typical refrigerator?

**Part 2:**
As Freon-12 leaves the refrigerator, it undergoes adiabatic expansion described by the equation \( pV^\gamma = \text{constant} \). The gas leaves the fridge at a temperature of 3.92°C and a pressure of 39,900 Pa. After passing through the compressor, the pressure is \( 9.30 \times 10^5 \) Pa. If \(\gamma\) for Freon-12 is 1.145, what is the temperature of the gas after it passes through the compressor?

**Part 3:**
Assume the vapor travels through the radiating coils on the back of the refrigerator. If the coils have a length of 11.2 m, a circumference of 1.00 cm, and are made from a material with emissivity \( e = 0.900 \), what is the rate of heat loss due to radiation? The room temperature is 25.0°C. Provide the heat loss when the vapor initially enters the radiating coils.

**Part 4:**
As the refrigerant passes through the coils, it cools down due to heat loss, which slows the rate of heat loss. Freon-12 has a molar specific heat of 74.0 J/mol·K. If half the refrigerant is in the coils and heat is radiated at the rate calculated previously, what will be the change in temperature of the Freon-12 gas in 1.00 second?

**Part 5:**
While in the condenser, Freon-12 vapor condenses to a liquid. The latent heat of vaporization for Freon-12 is 22.1 kJ/mol. During one cycle, all of the Freon-12 passes through the condenser. How much heat is lost due to the condensation process in one cycle?

**Part 6:**
The liquid from the condenser enters the refrigerator cavity, meets the expansion valve, evaporates (absorbing heat from the refrigerator contents), and expands adiabatically, cooling down further. Refrigerators are made from thermally insulating material, but some heat still flows through. If a fridge has a surface area of 7.28 m², is constructed from material with thermal conductivity 0.0453 W/m·K, and is 5.00 cm thick, how much heat leaves the refrigerator each minute due to conduction? The inside temperature of the fridge is 3.92°C, and the room is at 25.0°C.