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The capacity of a vessel is 3 L . It contains 6 g oxygen, 8 g nitrogen and 5 g CO 2 mixture at 27 ° C . If R = 8 . 31 J mol - 1 K - 1 , then the pressure in the vessel in N m - 2 will be (approx).

Options

  1. A5   ×   10 5
  2. B5 × 10 4
  3. C1 × 10 6
  4. D1 × 10 5

Correct answer

B. 5 × 10 4

Step-by-step solution

By Dalton's law P = P 1 + P 2 + P 3 = μ 1 RT V + μ 2 RT V + μ 3 RT V = RT V μ 1 + μ 2 + μ 3 = RT V m 1 M 1 + m 2 M 2 + m 3 M 3 = 8.31 × 3 0 0 3 × 1 0 - 3 6 3 2 + 8 2 8 + 5 4 4 = 4 9 8 × 1 0 3 = 5 0 0 × 1 0 3 = 5 × 1 0 5   N   m - 2

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