Refrigerant-134a at 700 kPa, 70^∘ C, and 8 kg / min is cooled by water in a condenser until it

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Refrigerant-134a at 700 kPa, 70^∘ C, and 8 kg / min is...

Refrigerant-134a at $700 \mathrm{kPa}, 70^{\circ} \mathrm{C},$ and $8 \mathrm{~kg} / \mathrm{min}$ is cooled by water in a condenser until it exists as a saturated liquid at the same pressure. The cooling water enters the condenser at $300 \mathrm{kPa}$ and $15^{\circ} \mathrm{C}$ and leaves at $25^{\circ} \mathrm{C}$ at the same pressure. Determine the mass flow rate of the cooling water required to cool the refrigerant.

Key Concepts

Mass Flow Rate Calculation

Mass flow rate calculation involves determining the amount of fluid required to carry away a specified amount of heat by relating the energy transfer to the fluid's specific heat and temperature change. This calculation is fundamental in sizing the cooling system and ensuring that the energy balance is maintained throughout the process.

Heat Transfer in Condensers

In condensers, heat transfer occurs from the refrigerant to the cooling medium, typically water. This concept involves principles of conduction, convection, and sometimes radiation, and it is crucial for designing and analyzing systems to ensure that the energy removed by the cooling medium matches the energy released by the refrigerant during condensation.

Enthalpy Change

Enthalpy, a thermodynamic property, represents the total heat content of a system. During phase changes, such as condensation, there is a significant change in enthalpy due to the release or absorption of latent heat. Analyzing these changes is key to determining the heat transfer involved in the process.

Energy Balance

Performing an energy balance involves equating the heat lost by the refrigerant with the heat gained by the cooling medium. This principle of conservation of energy is fundamental in thermal systems analysis and is used to calculate parameters such as the mass flow rate of the cooling fluid.

Refrigeration Cycle

The refrigeration cycle describes the process by which a refrigerant absorbs and rejects heat through various phase changes and pressure variations. Understanding this cycle is essential, as it involves compression, condensation, expansion, and evaporation steps that result in the transfer of heat from a cooler to a warmer area.

Condensation Process

Condensation is the phase change from vapor to liquid, during which the refrigerant releases latent heat. This process is critical in a condenser where the released heat is removed by a cooling medium, and understanding it provides insight into how energy is managed and removed in the system.

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