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3g of a hydrocarbon on combustion in excess of oxygen produces 8.8g of co2 and 5.4g of H2O this data illustrates the law of
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The Law of Conservation of Mass


The law of conservation of mass states that in a chemical reaction, the total mass of the reactants equals the total mass of the products. This means that no matter is created or destroyed during a chemical reaction, only rearranged.


Application of the Law in the Given Data


The combustion of a hydrocarbon in excess oxygen is a chemical reaction that illustrates the law of conservation of mass. In this reaction, the hydrocarbon reacts with oxygen to produce carbon dioxide and water.


Writing the Balanced Chemical Equation


The balanced chemical equation for the combustion of a hydrocarbon in excess oxygen is:


CxHy + (x + y/4)O2 → xCO2 + (y/2)H2O


where x and y are the coefficients of the hydrocarbon and oxygen, respectively.


Calculating the Mass of the Hydrocarbon


From the given data, we know that 8.8g of CO2 and 5.4g of H2O are produced when 3g of the hydrocarbon is combusted. Using the balanced chemical equation, we can calculate the mass of the hydrocarbon as follows:


1 mole of CO2 has a mass of 44g

1 mole of H2O has a mass of 18g


Therefore, the number of moles of CO2 and H2O produced can be calculated as:


moles of CO2 = 8.8g / 44g/mol = 0.2 mol

moles of H2O = 5.4g / 18g/mol = 0.3 mol


From the balanced chemical equation, we know that the number of moles of CO2 produced is equal to the number of moles of the hydrocarbon combusted. Therefore, the number of moles of the hydrocarbon can be calculated as:


moles of hydrocarbon = 0.2 mol


The molar mass of the hydrocarbon can be calculated using its mass and the number of moles:


molar mass of hydrocarbon = 3g / 0.2 mol = 15g/mol


Verification of the Law of Conservation of Mass


Using the balanced chemical equation and the calculated molar mass of the hydrocarbon, we can verify the law of conservation of mass as follows:


Mass of reactants = mass of hydrocarbon + mass of oxygen

Mass of reactants = 3g + (x + y/4)O2

Mass of products = mass of CO2 + mass of H2O

Mass of products = 8.8g + 5.4g


From the balanced chemical equation, we know that the molar ratio of the hydrocarbon to oxygen is 1: (x + y/4). Therefore, the mass of oxygen can be calculated as:


moles of hydrocarbon = 0.2 mol

moles
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