An SRV must be sized to relieve hot water from a water heater at a rate of $20 \mathrm{lb}_{\mathrm{m}} / \mathrm{s}$. If the water is at $220^{\circ} \mathrm{F}$ and $45 \mathrm{psia}$, what nozzle area would be required? For the valve, $K_{D L}=0.65$ and $K_{D g}=0.98$.