Answer:
The volumetric flow rate of air through the heat exchanger is 3.36 m³/s.
Explanation:
Here we have,
![-\dot {m_1} c_1dt_1 = \dot {m_2} c_2dt_2](https://tex.z-dn.net/?f=-%5Cdot%20%7Bm_1%7D%20c_1dt_1%20%3D%20%5Cdot%20%7Bm_2%7D%20c_2dt_2)
The properties of R 134a at 700 kPa Saturated temperature = 26.7 °C and enthalpy = 88.8 kJ/kg
While at super heated temperature and pressure of 70 kPa and 50 °C the enthalpy is 288.53 kJ/kg
Therefore, we have, the heat lost per kg = 288.53 kJ/kg - 88.8 kJ/kg = 199.73 kJ/kg
For air we have at 20 ° and 100 kPa, enthalpy = 294 kJ/kg
At 25 °
= 1.012 J·g⁻¹·K⁻¹
20 ° C
= 1.006 kJ/(kg·K)
Therefore,
air = 1.006 kJ/(kg·K)
Plugging in the values into the above equation, we have
= 0.099 kg/sec × 199.73 kJ/kg = ![\dot {m_2} \times 1.006 \times 5 \textdegree](https://tex.z-dn.net/?f=%5Cdot%20%7Bm_2%7D%20%5Ctimes%201.006%20%5Ctimes%205%20%20%5Ctextdegree)
= 19.77/5.03 = 3.93 kg/s
At 100 kPa and 25° C the density of air is 1.16843 kg/m³
Therefore the volume flow rate = 3.93/1.16843 =3.36 m³/s.