A 500 cm3 sample of methane gas at 150 kPa and 27 ∘C27\ ^\circ\text{C}27 ∘C was mixed with 2.00 × 10-2 mol of ethane gas to form a synthetic fuel mixture. The gas constant, R=8.31 J K−1 mol−1R = 8.31\text{ J K}^{-1}\text{ mol}^{-1}R=8.31 J K−1 mol−1.
What is the mole fraction of methane in the resulting mixture?
0.400.400.40
0.600.600.60
0.670.670.67
0.940.940.94