Find the center of mass of the following plane region with variable density. Describe the distribution of mass in the region. The upper half (y > 0) of the plate bounded by the ellipse x² + 16y² = 16 with p(x,y) = 4+y. The center of mass is (Type an ordered pair. Type an exact answer, using as needed.)

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Carbon dioxide dissolved in water to yield carbonic acid. Carbonic acidthen partially dissociates to produce the hydrogen carbonate anion and ahydrogen cation. (write two equations for this step)

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Combustion of hydrocarbons such as undecane (C,H) produces carbon dioxide, a "greenhouse gas. Greenhaluse gases in the Earth's atmosahere tan trap the Sun's heat, raising the averege temperature of the Earth. For this reason there has been a great deal of international discussion about whether to regulate the production of carban diaxide. 1. Write a balanced chemical equation, including physical state symbols, for the combustion of liquid undecane into pmequs carbon diocide and gaeous water. D-0 2. Suppose 0.300 kg of undecane are burned in air at a pressure of exatly I atm nd a temperature of 17.0 "C. Calculate the volume of carbon dionide gas that is produced. Round your answer to 3 significant digits.

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What can you reasonably predict to occur when elemental bromine is added to a solution containing the iodide ion? Write chemical equations as part of your explanation.

At a particular temperature, suppose that 24.4 g solute is added to 50.0 g water and, after mixing, 0.3 g of the solute remains undissolved. What is the solubility of this solute at this temperature in grams per 100 g of water? (Enter in standard notation with one digit after the decimal point) Type your answer......