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Consider the chemical reaction aC,H6 + 6CO2 + CH2O → ¿C2H;OH, where a, b, c, and d are unknown positive integers. The reaction must be balanced; that is, the number of atoms of each element must be the same before and after the reaction. For example, because the number of oxygen atoms must remain the same, 26 + c = d. While there are many possible choices for a, b, c, and d that balance the reaction, it is customary to use the smallest possible integers. Balance this reaction. d =

Consider the chemical reaction aC,H6 + 6CO2 + CH2O → ¿C2H;OH, where a, b, c, and d are unknown positive integers. The reaction must be balanced; that is, the number of atoms of each element must be the same before and after the reaction. For example, because the number of oxygen atoms must remain the same, 26 + c = d. While there are many possible choices for a, b, c, and d that balance the reaction, it is customary to use the smallest possible integers. Balance this reaction. d =

Chemistry for Engineering Students
Chemistry for Engineering Students
4th Edition
ISBN:9781337398909
Author:Lawrence S. Brown, Tom Holme
Publisher:Lawrence S. Brown, Tom Holme
Chapter3: Molecules, Moles, And Chemical Equations
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Fertilizer is sold in 100 pound bags labelled with the amount of nitrogen ( N), phosphoric acid ( P205), and potash ( K20) present. The mixture of these nutrients varies from one type of fertilizer to the next. For example, a 100 pound bag of Vigoro Ultra Turf fertilizer contains 29 pounds of nitrogen, 3 pounds of phosphoric acid, and 4 pounds of potash. Another type of fertilizer, Parker's Premium Starter, has 18 pounds of nitrogen, 25 pounds of phosphoric acid, and 6 pounds of potash per 100 pounds. Determine the amount of each type required to yield a mixture containing the 101 pounds of nitrogen, 103 pounds of phosphoric acid, and 28 pounds of potash. The mixture contains pounds of Vigoro, and pounds of Parker's. Hint: Let x1 be the amount of 100 pound bags of Vigoro, and x2 the amount of 100 pound bags of Parker. Set up and solve the system in the unknowns x1 and x2 and then multiply the solution by 100 to find the number of pounds.
Transcribed Image Text:Fertilizer is sold in 100 pound bags labelled with the amount of nitrogen ( N), phosphoric acid ( P205), and potash ( K20) present. The mixture of these nutrients varies from one type of fertilizer to the next. For example, a 100 pound bag of Vigoro Ultra Turf fertilizer contains 29 pounds of nitrogen, 3 pounds of phosphoric acid, and 4 pounds of potash. Another type of fertilizer, Parker's Premium Starter, has 18 pounds of nitrogen, 25 pounds of phosphoric acid, and 6 pounds of potash per 100 pounds. Determine the amount of each type required to yield a mixture containing the 101 pounds of nitrogen, 103 pounds of phosphoric acid, and 28 pounds of potash. The mixture contains pounds of Vigoro, and pounds of Parker's. Hint: Let x1 be the amount of 100 pound bags of Vigoro, and x2 the amount of 100 pound bags of Parker. Set up and solve the system in the unknowns x1 and x2 and then multiply the solution by 100 to find the number of pounds.
Consider the chemical reaction AC2H6 + 6CO2 +CH2O → ¿C2H;OH, where a, b, c, and d are unknown positive integers. The reaction must be balanced; that is, the number of atoms of each element must be the same before and after the reaction. For example, because the number of oxygen atoms must remain the same, 2b + с — d. While there are many possible choices for a, b, c, and d that balance the reaction, it is customary to use the smallest possible integers. Balance this reaction. a = b = d =
Transcribed Image Text:Consider the chemical reaction AC2H6 + 6CO2 +CH2O → ¿C2H;OH, where a, b, c, and d are unknown positive integers. The reaction must be balanced; that is, the number of atoms of each element must be the same before and after the reaction. For example, because the number of oxygen atoms must remain the same, 2b + с — d. While there are many possible choices for a, b, c, and d that balance the reaction, it is customary to use the smallest possible integers. Balance this reaction. a = b = d =
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