Q. In a mixture of gases, the partial pressure of each gas is:

गैसों के मिश्रण में, प्रत्येक गैस का आंशिक दबाव होता है:

A
Equal to its mole fraction times the total pressure
इसके मोल अंश के गुणा कुल दबाव के बराबर
B
Equal to its volume fraction
इसके आयतन अंश के बराबर
C
Equal to its mass fraction times the total pressure
इसके द्रव्यमान अंश के गुणा कुल दबाव के बराबर
D
Independent of the total pressure
कुल दबाव से स्वतंत्र

Explanation

For a gas mixture, the partial pressure of each component is given by:

Formula: P_i = χ_i × P_total

Where χ_i is the mole fraction of component i.

Mole fraction: χ_i = n_i/n_total

Dalton's Law derivation:

  • Each gas behaves independently
  • P_i = (n_i RT)/V
  • P_total = (n_total RT)/V
  • Therefore: P_i/P_total = n_i/n_total = χ_i

Example:

  • Air: 78% N₂, 21% O₂, 1% other gases
  • At 1 atm: P_N₂ = 0.78 atm, P_O₂ = 0.21 atm

Note: This is different from volume fraction or mass fraction!

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