Final answer:
The gas that diffuses at half the rate of methane (CH4) is oxygen (O2).
Step-by-step explanation:
The gas that diffuses at half the rate of methane (CH4) could be oxygen (O2), nitrogen (N2), carbon dioxide (CO2), sulfur dioxide (SO2), or ethane (C2H6).
To determine which gas it is, we can use the information that hydrogen effuses four times faster than oxygen. If we compare the rates of diffusion of methane and hydrogen, we know that methane diffuses half as fast as hydrogen. Therefore, the gas that diffuses at half the rate of methane must be oxygen (O2).
Therefore, the answer is A) O2.