-~ o (7%) Problem 10: When heating water for cooking food, it is common to use an electric or natural-gas cooktop. A metal pot with radius = 0.15 m is filled with water to a depth of # = 0.19 m and heated on such a cooktop. The water is initially at a temperature of 7o = 25 C. Otheexpertta.com .l & 25% Part (a) Enter an expression for the amount of heat required to raise the temperature of the water to its boiling point of 7y, = 100 C, in terms of 7, 4, Tp, Tv,pandc. & & 25% Part (b) Calculate the amount of heat, in joules, required to raise the temperature of the water to its boiling point. Water has a density of p = 1.000 x 10 kg/m> and a specific heat of = 4.186 X 10 J/(kg -*C). .l & 25% Part (c) According to the U.S. Energy Information Administration, the average cost of electricity in the U.S. is about $0.10 per kilowatt-hour, or $0.028 per megajoule of electrical energy. Assuming all the electrical energy goes into heating the water on the cooktop, how much does it cost, in dollars, to heat the pot of water with electricity? Ignore the heat required to raise the temperature of the pot. & 25% Part (d) According to the U.S. Energy Information Administration, the average cost of natural gas in the U.S. is about $10.00 per thousand cubic feet, which amounts to $0.010 per megajoule of released energy when the gas is burned. Assuming all the energy released in combustion goes into heating the water on the cooktop, how much does it cost, in dollars, to heat the pot of water with natural gas? Ignore the heat required to raise the temperature of the pot. Grade Summary Cost= || dollars Deductions 0% Potential 100%