`11.2 g` of carbon reacts with 21.1 litres of oxygen at `18^(@)C` and `750 mm` of `Hg`. The cooled gases are passed through 2 litre of `2.5 N NaOH`. Determine the concetration of `NaOH` remaining in solution which is not converted to `Na_(2) CO_(3)`. Assume that `CO` does not react with `NaOH`:
a. Whatis the mole fraction of `CO` in the gases?
b. What is the concetration of `NaOH` which is not converted to `Na_(2) CO_(3)` in the remaining solution?

Explanation

To solve the problem step by step, let's break it down into parts as per the question:

### Given Data:
- Mass of Carbon (C) = 11.2 g
- Volume of Oxygen (O₂) = 21.1 L
- Temperature = 18°C = 291 K (after converting to Kelvin)
- Pressure = 750 mm Hg = 0.986 atm (after converting to atm)
- Volume of NaOH solution = 2 L
...