Chemistry

Question Analysis
This question involves converting the mass of two gases (methane and chlorine) to moles, calculating total moles of a binary mixture, and applying the mole fraction form of Dalton’s Law of Partial Pressures. The main focus is on accurate mole calculation for diatomic gases and partial pressure derivation.

Key Concept Explanation
The core steps for binary gas mixture problems are identical to multi-component systems:
1. Convert mass to moles using (note the molar mass of diatomic is twice the atomic mass of Cl).
2. Calculate total moles of the mixture.
3. Find the mole fraction of the target gas and multiply by total pressure to get partial pressure.
This method is valid for non-reacting ideal gas mixtures.

Step-by-Step Solution
1. Calculate moles of each gas:


2. Find total moles of the mixture: