Use the following information to answer the next question. Every two weeks, the Earth receives 4.92times 10^32J of solar energy. This is equivalent to the energy stored in all the coal, oil, and gas reserves on Earth Unlike these non-renewable resources, solar energy is a pollution-free way of generating electricity. Sunlight is used to heat water, eventually converting it to steam. For H_(2)O:c=4.19J/g^circ C. 1. By how many degrees would 1000 J of sunlight raise the temperature of 15.0 g of water, correct to three significant digits? Show your formulas and all of your work (3 marks).

Here's how to calculate the temperature change:<br /><br />1. **Formula:** The formula relating heat (Q), mass (m), specific heat capacity (c), and temperature change (ΔT) is:<br /><br /> Q = mcΔT<br /><br />2. **Rearrange the formula:** To solve for the temperature change (ΔT), rearrange the formula:<br /><br /> ΔT = Q / (mc)<br /><br />3. **Plug in the values:**<br /><br /> * Q = 1000 J (heat energy)<br /> * m = 15.0 g (mass of water)<br /> * c = 4.19 J/g°C (specific heat capacity of water)<br /><br /> ΔT = 1000 J / (15.0 g * 4.19 J/g°C)<br /><br />4. **Calculate:**<br /><br /> ΔT ≈ 15.9 °C<br /><br />Therefore, 1000 J of sunlight would raise the temperature of 15.0 g of water by approximately $\boxed{15.9^\circ C}$.<br />