A mine ventilation system consists of two splits A and B with resistances of 0.8 Ns<sup>2</sup>m<sup>-8</sup> and 3.2 Ns<sup>2</sup>m<sup>-8</sup>, respectively as shown in figure. Trunk airways have resistance of 0.2 Ns<sup>2</sup>m<sup>-8</sup>. The main mine fan is generating pressure of 500 Pa.<br><img src="/images/question-image/mining-engineering/mine-ventilation/1683200680-M2-3-66-68.jpg" title="Mine Ventilation mcq question image" alt="Mine Ventilation mcq question image"><br>The flows in the two splits are equalized by placing a booster fan in split B. Assume that the fan pressure does not change after installation of the booster fan. The size of the booster fan in Pa is

Correct Answer: 749.05