How to do this chemistry problem with gases?

Chemistry problem: How do I set up the following problem about gases?

• Okay, so here is the problem: A typical North American home heated with natural gas consumes 2.00 mL of natural gas per winter month. What volume of oxygen at SATP(room temperature or 25 C) is required to burn 2.00 mL of methane measured at 0C and 120 kPA? In the directions it says that a complete and balanced equation is required...so that usually implies that this is a stoichiometry problem... but then they give you the temperature and pressure so it must have to do with PV= nRT or P1V1/ T1 = P2V2/T2 I tried to make the equation and came up with this: CH4 + 2 O2 → CO2 + 2 H2O But now what?! How do I even begin this problem?

• Answer:

  CH4 + 2 O2 → CO2 + 2 H2O correct so you know you need 2 O2 for every 1 CH4 2.00 mL * 2 O2/1CH4 (would be done if same temp & pressure) * (120 kPA * 1 atm/101 kPA pressure correction) * (273+25)/273 (temp correction) = answe in ml