If a solar system delivers \(2500 \mathrm{MJ} / \mathrm{m}^{2} \cdot\) year with a water flow rate of \(30 \mathrm{~kg} / \mathrm{m}_{c}{ }^{2}\) and a plate efficiency factor \(F^{\prime}=0.93\), how much energy will it deliver if the flow rate is doubled? Neglect the effect of flow rate on \(F^{\prime}\). The collector has a heat loss conductance of \(4 \mathrm{~W} / \mathrm{m}^{2 \circ} \mathrm{C}\).