Multiple choice

Two gases having same pressure 'P' and volume 'V' are mixed at a temperature 'T'. If the mixture is at a temperature 'T' and occupies the same volume 'V' then pressure of the mixture would be

  1. P

  2. 2P
  3. $\displaystyle \frac{P}{2}$

  4. 3P
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B Correct answer
Explanation

Using Dalton's Law or the ideal gas law: P_total = P1 + P2. Since both gases have pressure P, the total pressure is P + P = 2P.

AI explanation

By Dalton's law of partial pressures, the total pressure of a mixture of non-reacting gases is the sum of their individual partial pressures. Since both gases initially have pressure P in volume V at temperature T, they each exert a partial pressure of P when confined to the same volume V at the same temperature T. Adding these partial pressures together gives a total mixture pressure of P plus P, which equals 2P.

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