Question

under STP if you collect 3 litre of O2 5 litre of cl2 and 6 litre of H2 which has the highest number of molecules which has the lowest number of molecules

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Answer 1

Answer :-

6 litre of H₂ has the highest number of molecules (1.56 × 10²³) and 3 litre of O₂ has lowest molecules (8 × 10²²) .

Explanation :-

We have :-

→ Volume of O₂ = 3 L

→ Volume of Cl₂ = 5 L

→ Volume of H₂ = 6 L

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Under STP conditions, 1 mole of any gas occupies a volume of 22.4 litres .

For Oxygen gas (O₂) :-

⇒ Moles = 3/22.4

⇒ Moles = 0.134

Number of molecules :-

= Moles × Avogadro number

= 0.134 × 6.022 × 10²³

= 0.8 × 10²³

= 8 × 10²²

For Chlorine gas (Cl₂) :-

⇒ Moles = 5/22.4

⇒ Moles = 0.223

Number of molecules :-

= 0.223 × 6.022 × 10²³

= 1.34 × 10²³

For Hydrogen gas (H₂) :-

⇒ Moles = 6/22.4

⇒ Moles = 0.26

Number of molecules :-

= 0.26 × 6.022 × 10²³

= 1.56 × 10²³

Answer 2

Answer:

Solution :-

We have :

• Volume of Oxygen = 3 L
• Volume of Chlorine gas = 5 L
• Volume of Hydrogen = 6 L

As we know that :

1 mole of any gas will occupy a volume of 22.4 L.

☣ Moles of Oxygen Gas :-

➙ $\sf Moles =\: \dfrac{3}{22.4}$

➙ ${\small{\bold{\purple{\underline{Moles =\: 0.134}}}}}$

☣ Number of molecules in Oxygen Gas :

$\red{ \boxed{\sf{Number\: of\: Molecules =\: Moles \times Avogadro\: Number}}}$

➙ Number of Molecules = 0.134 × 6.022 × 10²³

➙ ${\small{\bold{\purple{\underline{Number\: of\: Molecules =\: 8 \times 10^{22}}}}}}$

☣ Moles of Chlorine Gas :

➙ $\sf Moles =\: \dfrac{5}{22.4}$

➙ ${\small{\bold{\purple{\underline{Moles =\: 0.223}}}}}$

☣ Number of molecules in Chlorine Gas :

$\red{ \boxed{\sf{Number\: of\: Molecules =\: Moles \times Avogadro\: Number}}}$

➙ Number of Molecules = 0.223 × 6.022 × 10²³

➙ ${\small{\bold{\purple{\underline{Number\: of\: Molecules =\: 1.34 \times 10^{23}}}}}}$

☣ Moles of Hydrogen Gas :

➙ $\sf Moles =\: \dfrac{6}{22.4}$

➙ ${\small{\bold{\purple{\underline{Moles =\: 0.26}}}}}$

☣ Number of molecules in Hydrogen Gas :

$\red{ \boxed{\sf{Number\: of\: Molecules =\: Moles \times Avogadro\: Number}}}$

➙ Number of Molecules = 0.26 × 6.022 × 10²³

➙ ${\small{\bold{\purple{\underline{Number\: of\: Molecules =\: 1.56 \times 10^{23}}}}}}$

Henceforth, the highest number of molecules is hydrogen (1.56 × 10²³ and the lowest number of molecules is oxygen gas (8 × 10²²).