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You're not useless. It is all just practice and effort.
A mole of any gas at a given temperature and pressure will occupy the same volume. So 50 cm³ of CO2 has the same number of moles as 50 cm^3 of CH4.
The reaction is limited by the CH4. You burn two moles of O2 for every mole of CH4. You do not have enough CH4 to burn all the O2. 50 cm^3 of CH4 will burn up 100 cm^3 of O2.
From your equation, for each mole of CH4 you burn you will get one mole of CO2. So the volume of CH4 must equal the volume of CO2. So the answer is 50 cm³+100 cm² of O2, which is 150 cm³.
The answer is (B).
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