In a solar water heater, energy from the Sun is collected by water which circulates via tubes in a rooftop collector. The solar radiation enters the collector via a transparent cover and warms the water in the tubes; this water is pumped to a holding tank. Suppose that the efficiency of the overall system is around 30.0% (that is, 70% of the incident solar energy is lost from the system). What collector area (in square meters) is essential to elevate the temperature of 290 L of water in the tank from 17°C to 47°C in 2.2 h if the intensity of incident sunlight is around 690 W/m2? The specific heat of water is 4186 J/kg•K and the density of water is 1.00 g/cm3.