For a first order reaction X(g) → 2Y(g) + Z(g), initially only 3 moles of X(g) was taken in 10 L rig — AITS & Test Series Chemistry Question
Question
For a first order reaction X(g) → 2Y(g) + Z(g), initially only 3 moles of X(g) was taken in 10 L rigid closed container at 300 K. After 10 seconds the reaction was stopped forcefully and a pinhole was made in the container at the same temperature. The molar ratio of X(g) and Y(g) gases coming out is 1 : 2. The correct option(s) is/are: (Given molar masses of X, Y and Z are 16, 4 and 8 g/mole respectively √n2 = 0.7 and √n3 = 1.1, R = 0.08 atm L^-1 K^-1 mol^-1)

💡 Solution & Explanation
3 x 3 2x x X g 2Y g Z g 1 1 2 2 2 1 r P M r P M 1 3 x 4 2 2x 16 1 3 x 1 2 2x 2 X = 2 mole Y = 2 mole Z = 1 mole Total moles = 5 PV = nRT 5