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Use the Following Information to Answer the Next Question. Every Two Weeks, the Earth Receives 4.92times 10^32J of Solar Energy. This

Question

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).

Solution

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Answer

Here's how to calculate the temperature change:1. **Formula:** The formula relating heat (Q), mass (m), specific heat capacity (c), and temperature change (ΔT) is: Q = mcΔT2. **Rearrange the formula:** To solve for the temperature change (ΔT), rearrange the formula: ΔT = Q / (mc)3. **Plug in the values:** * Q = 1000 J (heat energy) * m = 15.0 g (mass of water) * c = 4.19 J/g°C (specific heat capacity of water) ΔT = 1000 J / (15.0 g * 4.19 J/g°C)4. **Calculate:** ΔT ≈ 15.9 °CTherefore, 1000 J of sunlight would raise the temperature of 15.0 g of water by approximately .