Question:medium

Find the volume occupied by \(8\) g of a gas at STP if its vapour density is \(16\).

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Remember: VD \(= \frac{\text{Molar mass}}{2}\). At STP, \(1\) mole of any gas occupies \(22.4\) L.
Updated On: Apr 24, 2026
  • \(2.8\) L
  • \(5.6\) L
  • \(11.2\) L
  • \(22.4\) L
Show Solution

The Correct Option is B

Solution and Explanation

Step 1: Understanding the Question:
We need to find the molar volume of a specific mass of gas based on its vapour density under standard conditions.
Step 2: Key Formula or Approach:
Molecular Mass (\(M\)) = \( 2 \times \text{Vapour Density} \).
Number of moles (\(n\)) = \( \text{Mass} / M \).
Volume at STP = \( n \times 22.4\ \text{L} \).
Step 3: Detailed Explanation:
Given Vapour Density = 16.
Molecular Mass \( M = 2 \times 16 = 32\ \text{g/mol} \).
Number of moles in 8 g of gas:
\[ n = \frac{8}{32} = 0.25\ \text{mol} \] Volume at STP:
\[ V = 0.25 \times 22.4\ \text{L} = 5.6\ \text{L} \] Step 4: Final Answer:
The volume occupied by the gas is 5.6 L.
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