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When #15cm^3# of a gaseous hydrocarbon P, was burnt in #100cm^3# of oxygen, gaseous mixture occupied #70 cm^3# at room temperature and pressure. When the mixture was passed through potassium hydroxide, its volume decreased to #25 cm^3#. a).What volume of the oxygen was used during the reaction? b).Determine the molecular formula of the hydrocarbon. (KCSE 2013 paper 1 question 23)