Solution
Core Logic
Gas (Q) is formed when RMgBr reacts with water. Thus, Q is the alkane RH. We are given that 1.0 gm of Q occupies 1.4 ~dm³ (or 1.4 ~L) at STP. Using molar volume (22.4 ~L at STP for 1 mole): Molar mass of Q = (22.4)/(1.4) × 1 = 16 g/mol. The alkane with molecular weight 16 is Methane (CH₄). So, R must be the methyl group (CH₃-). The Grignard reagent (P) is CH₃MgBr.
Step 1: Reaction with Dry Ice
Reaction of Methylmagnesium bromide with dry ice (CO₂):
CH₃MgBr [(ii) H₃O^+](i) CO₂ (dry ice) CH₃COOHThe final compound (Z) is Acetic Acid (CH₃COOH).
Step 2: Calculate Final Mass
Molar weight of Acetic Acid (CH₃COOH) = 12 + 3(1) + 12 + 16(2) + 1 = 60 g/mol. Weight of 0.1 mole of CH₃COOH = 0.1 × 60 = 6 g.
Pattern Recognition
When evaluating the identity of a Grignard reagent, use STP volume scaling to find the exact molar mass of its alkane derivative. 1.4 × 16 = 22.4 is an extremely common dimensional hook.
Chapter Mix
Class 12 Chemistry: Aldehydes, Ketones and Carboxylic Acids Class 11 Chemistry: Hydrocarbons