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At STP, the number of molecules present in 5.6 L of O₂ gas is:
Question

At STP, the number of molecules present in 5.6 L of O₂ gas is:

A.

2.24 × 10²³

B.

1.5055 × 10²³

C.

6.022 × 10²³

D.

3.011 × 10²³

Correct option is B

The correct answer (b) 1.5055 × 10²³

  • At STP (Standard Temperature and Pressure), 1 mole of any ideal gas occupies 22.4 L and contains 6.022 × 10²³ molecules (Avogadro’s number).

  • Given volume = 5.6 L

Now,  

Number of moles=5.622.4=0.25 molNumber of molecules=0.25×6.022×1023=1.5055×1023\text{Number of moles} = \frac{5.6}{22.4} = 0.25\ \text{mol} \\[10pt]\text{Number of molecules} = 0.25 \times 6.022 \times 10^{23} = 1.5055 \times 10^{23}

  • The calculation shows that 5.6 L of O₂ gas at STP corresponds to 0.25 mol.

  • Multiplying by Avogadro’s number gives: 0.25×6.022×1023=1.5055×10230.25 \times 6.022 \times 10^{23} = 1.5055 \times 10^{23}

Information Booster:

  • STP refers to 0°C (273.15 K) and 1 atm pressure.

  • 1 mole = 22.4 L at STP for ideal gases.

  • Avogadro’s number: 6.022 × 10²³ molecules/mol

  • Volume-to-moles conversions are key in gas stoichiometry.

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