Question:

A water sample is contaminated with compound X (molar mass \(=120g~mol^{-1}\)). Its molality is \(10^{-4}m\). What is its concentration in ppm?

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For dilute aqueous solutions, use shortcut: \(ppm=m\times M\times1000\)
Updated On: Jun 15, 2026
  • 120
  • 1200
  • 12
  • \(12\times10^{3}\)
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The Correct Option is A

Solution and Explanation

Concept: Parts per million (ppm) expresses concentration as milligrams of solute per kilogram of solution. Relation connecting molality and ppm: \[ ppm=m\times M\times10^3 \] where \[ m=\text{molality} \] \[ M=\text{molar mass} \]

Step 1: Write given data carefully. Molality given: \[ m=10^{-4} \] Molar mass: \[ M=120g/mol \]

Step 2: Use ppm relation. Formula: \[ ppm=m\times M\times10^6/1000 \] or directly \[ ppm=m\times M\times10^3 \] Substitute values. \[ ppm=10^{-4}\times120\times10^3 \]

Step 3: Perform numerical simplification. \[ ppm=120\times10^{-1}\times10^1 \] \[ ppm=120 \] Hence final concentration becomes \[ \boxed{120\;ppm} \]
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