📖 Explanation
The evolution of carbon dioxide upon treatment with NaHCO3 identifies the organic product X as a carboxylic acid, which reacts with bicarbonate in a 1:1 molar ratio. The chemical reaction proceeds according to the equation RCOOH+NaHCO3→RCOONa+H2O+CO2↑ which confirms that the number of moles of acid present is equivalent to the number of moles of carbon dioxide released.
At standard temperature and pressure (STP), the molar volume of an ideal gas is 22.4dm3mol−1. Consequently, the 11.2dm3 of carbon dioxide evolved corresponds to 0.5mol of the gas, implying that the sample contained 0.5mol of the chlorobenzoic acid product. The molar mass of this compound, C7H5ClO2, is calculated as (7×12)+(5×1)+35.5+(2×16), which equals 156.5gmol−1. Multiplying the number of moles by this molar mass yields 0.5mol×156.5gmol−1=78.25g. Rounding to the nearest whole number as specified by the final answer, P is 78.