Boiling point of a 2% aqueous solution of a nonvolatile solute A is equal to the boiling point of 8% aqueous solution of a non-volatile solute B. The relation between molecular weights of A and B is.

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Canvas Classes · Accepted Answer

Strategy:
 Solutions with equal boiling points have equal elevations in boiling point (). For non-electrolytes relative to the same solvent, this implies identical molalities.

Step 1: Set molalities equal

Where  is mass of solute and  is mass of solvent.
- For solution A: 2 g solute A in 98 g solvent.
- For solution B: 8 g solute B in 92 g solvent.

Step 2: Substitute and solve for ratio
Assuming dilute solutions (where ):

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