What is the molecular mass of X if the rate of diffusion of methane is twice that of X .

Step-by-step solution

According to Grahams Law of diffusion, the rate of diffusion r of a gas is inversely proportional to the square root of its molar mass M . r_ CH₄ r_X = M_X M_ CH₄ Given that the rate of diffusion of methane is twice that of X , we have r_ CH₄ = 2 r_X , which implies r_ CH₄ r_X = 2 . The molar mass of methane CH₄ is 12 + 4 1 = 16 g/mol. Substituting the values into the equation: 2 = M_X 16 Squaring both sides: 4 = M_X 16 M_X = 4 16 = 64 g/mol. Answer: 64