When heating water for cooking food, it is common to use an electric or natural gas cooktop. A metal pot with a radius r =0.14 m is filled with water to a depth of h = 0.19 m and heated on such a cooktop. The water is initially at a temperature of T = 18 C..

The polling point of water is T_v= 100 C, the density of water is 1.00 x 100³ kg/m³ and the specific heat of water is 4.186 x 10³ J/KgC

A) Calculate the amount of heat in Jules, required to raise the temperature. of the water to it's boiling point.

B) Electricity costs 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 to heat the pot of water with electricity? Ignore the heat required to raise the temperature of the pot.

C) To burn gas, it costs $10 per thousand cubic feet or $0.010 per megajoule of released energy when gas is burned. Assuming all of energy released in combustion goes into eating the water on the cooktop, how much does it cost in dollars to heat the pot of the water with natural gas? Ignore heat required to raise the temperature of the pot.