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The temperature of an open room of volume 30 m 3 increases from 17 ° C to 27 ° C due to the sunshine. The atmospheric pressure in the room remains 1 × 10 5 Pa . If n i and n f are the number of molecules in the room before and after heating, then n f - n i will be:

Options

  1. A- 2.5 × 10 25
  2. B- 1.61 × 10 23
  3. C1.38 × 10 23
  4. D2.5 × 10 25

Correct answer

A. - 2.5 × 10 25

Step-by-step solution

T i = 273 + 17 = 290 K T f = 273 + 27 = 300 K From ideal gas equation, P V = n R T ⇒ n = P V R T n f - n i = P V R 1 T f - 1 T i = - 2.5 × 10 25

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