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ICSE Class 10 Chemistry 2023 Paper

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Question : 47 of 88
Marks: +1, -0
Solve the following numerical problem: [3] Ethane burns in oxygen according to the chemical equation :
2C2H6+7O24CO2+6H2O2\mathrm{C}_2\mathrm{H}_6+7\mathrm{O}_2\rightarrow4\mathrm{CO}_2+6\mathrm{H}_2\mathrm{O}
If 80ml80\mathrm{ml} of ethane is burnt in 300ml300\mathrm{ml} of oxygen, find the composition of the resultant gaseous mixture when measured at room temperature.
Solution:  
Given: 2C2H6+7O24CO2+6H2O2\mathrm{C}_2\mathrm{H}_6+7\mathrm{O}_2\rightarrow4\mathrm{CO}_2+6\mathrm{H}_2\mathrm{O}
2\because 2 moles of ethane reacts with 7 moles of oxygen to produce -6 moles of H2O+4\mathrm{H}_2\mathrm{O}+4 moles of carbondioxide.
2ml2\mathrm{ml} . of ethane reacts with 7ml7\mathrm{ml} . of oxygen = 4ml4\mathrm{ml} . of carbon dioxide +ml+\mathrm{ml} of H2O\mathrm{H}_2\mathrm{O} .
80ml\therefore 80\mathrm{ml} . of ethane reacts with 280ml280\mathrm{ml} . of oxygen =160ml=160\mathrm{ml} . of CO2+240ml\mathrm{CO}_2+240\mathrm{ml} . of H2O\mathrm{H}_2\mathrm{O}
In this reaction ethane in the limiting reagent and 20ml20\mathrm{ml} . of oxygen will be left, unreacted.
The composition of the resultant gaseous mixture when measured at room temperature will be:
20ml20\mathrm{ml}. of oxygen gas : 160ml160\mathrm{ml} . of CO2\mathrm{CO}_2 and 240ml240\mathrm{ml} . of H2O\mathrm{H}_2\mathrm{O}.
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