Methanol (CH₃OH) is produced commercially by the catalyzed reaction of carbon monoxide and hydrogen: CO _(g) + 2 H_{2 (g)} <--> CH₃OH _(g). An equilibrium mixture in a 5.00-L vessel is found to contain 0.483 mol CH₃OH, 0.102 mol CO, and 0.272 mol H₂ at 500 K. Calculate K_c at this temperature.

Type your answer in scientific notation such as 3.5x10^9.  Round your answers to three significant figures.