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Two gases A and B have equal pressure P, temperature T, and volume V. The two gases are mixed together and the resulting mixture has the same temperature T and volume V as before. The ratio of pressure exerted by the mixture to either of the two gases is:
  • a)
    1 : 1
  • b)
    2 : 1
  • c)
    3 : 1
  • d)
    1 : 2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Two gases A and B have equal pressure P, temperature T, and volume V. ...
Let P1 and P2 be the partial pressures of gases A and B, respectively. Under equal conditions of temperature and volume, P1 = P2
Let P be the total pressure exerted by the mixture of two gases A and B. Using Dalton's law of partial pressures, P = P1 + P2
⇒ P = 2P1 ⇒ P/P1 = 2/1 ⇒ P : P1 = 2 : 1
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Community Answer
Two gases A and B have equal pressure P, temperature T, and volume V. ...
Explanation:

When two gases A and B are mixed together, the pressure exerted by the mixture is equal to the sum of the pressures exerted by each individual gas.

Let the pressure exerted by gas A be PA and the pressure exerted by gas B be PB.

According to the given information, PA = PB = P (equal pressure for both gases)

When the two gases are mixed together, the total pressure exerted by the mixture is given by:

PMixture = PA + PB

Since PA = PB = P, we can rewrite the above equation as:

PMixture = P + P = 2P

So, the pressure exerted by the mixture is 2P.

The ratio of pressure exerted by the mixture to either of the two gases can be calculated as:

PMixture : PA = 2P : P = 2 : 1

Similarly, PMixture : PB = 2P : P = 2 : 1

Therefore, the ratio of pressure exerted by the mixture to either of the two gases is 2 : 1.

Answer:
The correct answer is option B) 2 : 1.
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Two gases A and B have equal pressure P, temperature T, and volume V. The two gases are mixed together and the resulting mixture has the same temperature T and volume V as before. The ratio of pressure exerted by the mixture to either of the two gases is:a)1 : 1b)2 : 1c)3 : 1d)1 : 2Correct answer is option 'B'. Can you explain this answer?
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