The balanced chemical equation for the reaction is:H2 g + I2 g 2HI g To find the reaction quotient Qc , we need to use the expression:Qc = [HI]^2 / [H2] * [I2] Since the equilibrium concentration of hydrogen iodide is [HI] = 0.1 M, we need to determine the equilibrium concentrations of hydrogen and iodine.From the balanced equation, we can see that 1 mole of H2 reacts with 1 mole of I2 to produce 2 moles of HI. Let's use x as the change in concentration for H2 and I2:[H2] = 0.5 - x[I2] = 0.3 - x[HI] = 2xAt equilibrium, [HI] = 0.1 M, so:2x = 0.1x = 0.05Now we can find the equilibrium concentrations of H2 and I2:[H2] = 0.5 - 0.05 = 0.45 M[I2] = 0.3 - 0.05 = 0.25 MNow we can calculate the reaction quotient Qc :Qc = [HI]^2 / [H2] * [I2] Qc = 0.1 ^2 / 0.45 * 0.25 Qc = 0.01 / 0.1125Qc 0.089So, the value of the reaction quotient Qc for this reaction at this temperature is approximately 0.089.